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Worksheet on Expressing Percent | Expressing Percent Worksheet with Solutions

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Do you want to know more about the concept of Expressing Percentage? Then the Worksheet on Expressing Percent helps you to know more about expressing percentages by providing solved examples. Expressing Percentage means the percentage will be expressed in terms of fractions or decimals or in ratio. In the below sections, you will find different questions on Expressing Percent.

To Express Percentage, we will convert a fraction into a percentage. We will divide the numerator of the fraction by the denominator of the fraction, and we will multiply the result by 100. Then we will get the result in a percent. To know more about details on finding the percentage of a number, conversion from percentage to decimal, fraction, or ratio you can refer to Percentage Worksheets. In the below, we can see the solved examples.

1. Solve the following fractions as a percentage:

(i) 8/50
(ii) 20/125
(iii) 9/45

Solution:

(i) 8/50
We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (8/50 × 100) %
= 16 %.

(ii) 20/225

We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (20/225 × 100) %
= 8.89 %.

(iii) 9/45

We will divide the numerator of the fraction by the denominator of the fraction after that we will multiply the result by 100. Then we will get the result.
= (9/45 × 100) %
= 20 %.

2. Covert each of the following percentage as the ratio in the least form:

(i) 60 %

(ii) 125 %

(iii) 240 %

Solution:

(i) 60 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 60/100
reduce the given fraction into the simplest form
= 3/5
and then we will write the number with a ratio sign. On simplifying, we will get
= 3:5.

(ii) 125 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 125/100
reduce the given fraction into the simplest form
= 5/4
and then we will write the number with a ratio sign. On simplifying, we will get
= 5:4.

(iii) 240 %

We will convert Percentage into Ratio, then we will divide the percentage by 100
= 240/100
reduce the given fraction into the simplest form
= 12/5
and then we will write the number with a ratio sign. On simplifying, we will get
= 12:5.

3. Convert the following percent as decimals:

(i) 8%

(ii) 45%

(iii) 12.5%

Solution:

(i) 8%
The given percent is 8%, and we will divide the given value with 100
= 8/100
on solving, we will get the result in decimals
= 0.08

(ii) 45%

The given percent is 8%, and we will divide the given value with 100
= 45/100
on solving, we will get the result in decimals
= 0.45

(iii) 12.5%

The given percent is 12.5%, and we will divide the given value with 100
= 12.5/100
on solving, we will get the result in decimals
= 0.125

4. Smith spends 24% on his monthly income. Express this in decimals?

Solution:

Smith spends 24% of his income,
to express in decimals, we will divide by 100,
24/100
on solving, we will get the result in decimals
0.24

5. The laptop was marked at a price of $25,000 and decreased to $20,000. Find the percentage decrease?

Solution:

The original price of the laptop is $25,000,
and decreased to $20,000,
Amount decreased is $25,000 – $20,000
which is $5,000.
the percentage decreased is 5,000/25,000 × 100
= 20%.

6. In an examination the pass percentage is 85 %. The number of students who fail is 300, Find the total number of students.

Solution:

Let the number of students be X,
the total number of students failed are 300,
the pass percentage of the class is 85%,
and the failure percentage is 100-85,
which is 15%, so
15/100 × X = 300,
on solving, we will get
2,000.
The total number of students is 2,000.

Worksheet on Percent Problems | Percentage Word Problems Worksheet with Answers

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In this Worksheet on Percent Problems, you can find various types of questions on Percentage. You can have some solved examples which help students in preparing for their examinations. The questions in the Percentage Worksheet are about the conversion of percentages, decimals, and ratios. Refer to the Step by Step Solutions provided for Percent Problems and Clear the Exam with Better Grades. Resolve all your queries taking the help of the Percentage Worksheets. Practice using the Percentage Word Problems Worksheet and get acquainted with the concept better.

1. Convert each of the following into a Percentage:

(i) 6/15

(ii) 3/25

(iii) 0.25

(iv) 2 2/5

Solution:

(i) 6/15
The given fraction is 6/15,
to convert the given fraction into a percentage,
we will multiply the fraction by 100,
6/15 ×100,
on solving, we will get 40%.

(ii) 3/25

The given fraction is 3/25,
to convert the given fraction into a percentage,
we will multiply the fraction by 100,
3/25 ×100,
on solving, we will get 12%.

(iii) 0.25

The given decimal is 0.25,
to convert the given decimal into a percentage,
we will multiply the fraction by 100,
0.25 ×100,
on solving, we will get 25%.

(iv) 2 2/5

The given fraction is 2 2/5,
which is 12/5
to convert the given fraction into a percentage,
we will multiply the fraction by 100,
12/5 ×100,
on solving, we will get 240%.

2. Which of the following is equal to 45%?

a) 0.45
b) 0.0045
c) 9/25
d) 0.045

Solution:

The given percent is 45%,
now we will divide the given value with 100
= 45/100
on solving, we will get the result in decimals
= 0.45.
So the option a is the correct option.

3. Solve out the number when increased by:

(i) 3.2% becomes 360

(ii) 30% becomes 7,800

(iii) 25% becomes 1,800

Solution:

(i) 3.2% becomes 360
Here, we should find out the number,
So the number be X
as given 3.2% was increased,
So, increased number= X +(3.2% × X), on solving we will get
= 1.032X
given that the number which when increased by 2.6% becomes 360, which means
1.032X =360, on solving we will get
X = 348.83.

(ii) 30% becomes 7800

Here, we should find out the number,
So the number be X
as given 30% was increased,
So, increased number= X +(30% × X), on solving we will get
= 1.3X
given that the number which when increased by 1.3% becomes 7,800, which means
1.3X =7800, on solving we will get
X = 6,000.

(iii) 25% becomes 1800

Here, we should find out the number,
So the number be X
as given 25% was increased,
So, increased number= X +(25% × X), on solving we will get
= 1.25X
given that the number which when increased by 25% becomes 1800, which means
1.25X =1800, on solving we will get
X = 1,440.

4. Solve the following:

(i) 90 cm as a percent of 3 m.

(ii) 40 mins as a percent of 3 hours.

(iii) 2.25 mm as a percent of 0.5 cm.

Solution:

(i) 90 cm as a percent of 3 m.
Given 90 cm of 3m,
as 1m= 100 cm, so first we will convert meters to centimeters
3m= 300 cm,
90/300 × 100 =
on solving we will get the result as
= 3%.

(ii) 40 mins as a percent of 3 hours.

Given 40 mins of 3 hours,
as 1 hour = 60 minutes, so we will convert hour to minutes,
3 hours= 180 minutes,
40/180 × 100=
on solving we will get the result as
22.22%.

(iii) 2.25 mm as a percent of 0.5 cm.

Given 2.25mm of 0.5 cm
as 1 cm= 10 mm, so we will convert cm to mm
0.5 cm = 5 mm,
2.25/5 × 100=
on solving we will get
45%.

5. Express each of the following rational numbers percentages into a ratio in the simplest form:

(i) 8/7 %

(ii) 25/6 %

Solution:

(i) 8/18 %
To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign
= 8/7 × 1/100
on simplifying we will get
= 2 : 175.

(ii) 25/6 %

To convert a rational number Percentage into a Ratio, we will divide the percentage by 100 and will reduce the given fraction into the simplest form, and then we will write the number with a ratio sign
= 25/6 × 1/100
on simplifying we will get
= 1 : 24.

6. what will be the percent of each angle if the angles of a triangle are 4:2:4?

Solution:

The given angles are 4:2:4, so 4+2+4= 10 parts.
To convert the given ratio to percent we will multiply by 100
The percentage for the first angle is 4/10 × 100= 40%
The percentage for the second angle is 2/10 × 100= 20%
The percentage for the third angle is 4/10 × 100= 40%.

Worksheet on Percentage of a Given Quantity | Finding the Percentage of a Given Quantity Worksheet

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Are you in search of the concept of the Percentage of a given Quantity? Here, in this worksheet, you can find this concept which is explained in detail by considering some solved examples. This worksheet explains the procedure for finding the percentage of a given quantity. We all know that in percentage the term percent refers to per hundred that is used to share the amount in terms of hundred. You will learn how to calculate the percentage of the given quantity with the solved examples provided. To know more about the concept of Percentage you can refer to our Percentage Worksheets to clear your concerns.

How to find the Percentage of a Given Quantity?

To find the Percentage of a Given Quantity we will write the percentage as a fraction out of 100. Let’s see some of the solved examples below to understand more about the percentage of a given quantity concept

1. The total number of students in grade 8 is 60 and in that 35 are girl students. What will be the percentage of boy students?

Solution:

The total number of students in grade 8 is 60 students,
The total number of girl students is 35 students,
So to find the percent of boy students, first we need to find out the number of boy students,
which is 60-35= 25 students.
and the percentage of the boy students is=
25/60 × 100 =
on solving, we will 41.67%
So the percentage of boys is 41.67%.

2. Rosie score 56 points out of 75. What will be the percentage of Rosie’s score?

Solution:

The score of the Rosie is 56 points out of 75,
so the percentage of Rosie’s score is
56/75 × 100=
on solving, we will get 74.67%.
The percentage of Rosie’s score is 74.67%.

3. The water tanks contain 180 liters of water. By the leakage of the tank, 30 liters of water is lost. What percent of water is lost?

Solution:

As the tank contains 180 liters of water,
And the tank lost 30 liters by leakage,
So the percent of water lost is
30/180 × 100
on solving, we will get 16.67%.
The percent of water lost is 16.67%.

4. Ron has $600 with him and he bought some household things worth of $540. Express this in percent?

Solution:

As Mary has $600 and she bought $540 worth of some household things,
So the percent  is
540/600 ×100=
on solving, we will get
90%.

5. In a theme party, the total number of people attended is 800 and 64 more joined with them. Find the percentage of the earlier have joined?

Solution:

The original number of people at the theme party is 800
The number of people that are joined is 64,
So the original number percentage is
64/800 × 100=
on solving, we will get 8%.

6. There are 2000 boys and 1800 girls in a school. If 70 % of the boys passed and 80 % of the girls passed. Find the percentage of the total who did not pass.

Solution:

The total number of boys is 2000
in that 70 percent of boys pass, Which means,
70/100×2000=
on solving, we will get 1400
The total number of girls is 1800,
in that 80 percent of girls pass,
which means,
80/100×1800=
on solving, we will get 1440,
now we will find the total number of students,
The total number of students = no. of boys +no.of girls
The total number of students = 2000+1800
which is 3800,
So the number of pass students = number of pass boys + no. of pass girls
total number of pass students=1400+1440
which is 2,840
The no. of failed students = total no. of students – number of students pass
= 3800-2840
which is 960
the percentage of failed students = number of failed students × 100/ number of total students
= 960×100/3000
So the percentage of failed students=25.26 percent
25.26% of students did not pass.

Worksheet on Percentage of a Number with Solutions | Finding Percentage Worksheets

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Scholars who want to learn about the Percentage of the number can refer to this worksheet. This worksheet helps you with a detailed explanation of the percentage of a number by which you can answer any kind of question on it. And this Worksheet on Percentage of a Number will encourage you with certain tips and tricks to tackle the issues utilizing some alternate way, and also tells you how to find the percentage of the number. You can avail Percentage Worksheets of ours to clear your doubts on the concept. Let’s see below about percentage in detail by taking enough examples.

What is the Percentage?

A Percentage refers to per hundred which is used to share the amount or any other thing in terms of hundred. The percentage can be represented with the symbol %.  It is also used to define a portion of a fraction of a whole. This percentage can be applied for decimals, fractions.

How to find the Percentage of a Number?

To find the percentage of the number, we will multiply the given fraction or a decimal by 100 and then we will add the percent symbol. For example, if X is the number to calculate the percentage that represents Y, then we will divide Y by X, and then we will multiply the result by 100. After that, we will add the percent symbol %. Below, we can see some examples on how to find the percentage of the numbers with solutions.

1. Solve the given below:

(i) 15 % of 150

(ii) 20 % of $ 500

(iii) 6% of 20 km

(iv) 12.5 % of 2000 kg

Solution:

(i) 15 % of 150

Given 15% of 150, which means
15/100 ×150
on solving we will get
= 22.5.

(ii) 20 % of $ 500

Given 20% of 500, which means
20/100 ×500
on solving we will get
= $100.

(iii) 6% of 20 km

Given 6% of 20, which means
6/100 ×20
on solving we will get
= 1.2 km

(iv) 12.5% of 2000 kg

Given 12.5% of 2000, which means
12.5/100 ×2000
on solving we will get
= 25 kg.

2. How many liters is 12% of 90 liters?

Solution:

Given 12% of 90l, which means
12/100 × 90
on solving we will get
= 10.8 liters.

3. What will be 35% of 500 grams?

Solution:

Given 35% of 500, which means
35/100 ×500
on solving we will get
= 175 grams.

4. The bus was occupied by 60% and if the total seats on a bus are 70, how many seats were available?

Solution:

As the bus was occupied by 60%,
and total seats on a bus are 70, so
60/100 × 70
on solving we will get 42.
So 42 seats are occupied.
To find available seats, we will subtract the total seats with occupied seats.
On solving we will get 28 seats.
The number of seats available is 28.

5. Mike earns $5280 per month and spends 45% of it. What will be the savings Mike for every month?

Solution:

Mike earns $5280 per month and spends 45%, which means
$5280 × 45/100 on solving we will get
$2,376.
So Mike spends $2,376 every month.
To find the savings of Mike, we will subtract his earning by savings
On solving we will get
$2,904.

6. 75% of students cleared in their exams out of 1500 students. Find the number of students who have cleared the exams?

Solution:

The total number of students is 1500 and in them 75% of students cleared in the exams,
which means 1500 × 75/100
on solving we will get 1,125 students cleared the exams.

7. As a year-end sale the shopkeeper offers a discount of 25% on every item. What will be the discount on every item worth $1500?

Solution:

The discount offers by the shopkeeper on each item is 25%,
and the price of goods sold with discount is $1500.
So the discount offers are
$1500 × 25/100
on solving $375.

8. Mr. Jack bought a bicycle for a discount of 20% and the original price of the bicycle is $6,000. What will be the price of the bicycle after the discount?

Solution:

The original price of the bicycle is $6,000
and the discount that Jack got is 20%
which means 20% of $6,000
20/100 × 6000
on solving we will get
$1,200
So, the price of the bicycle after the discount is
$6,000 – $1,200= $ $4,800.

Worksheet on Percentage into Decimal | Converting Percent to Decimals

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Students can gain knowledge by practicing from this worksheet on how to convert percentage into a decimal. In this worksheet on Percentage into Decimal, the topics are explained clearly so that students can understand them easily. Here, we can see about percentage, decimals, and how to convert percentage into decimals. To convert a percentage into a decimal, we will remove the percentage by dividing the given value by 100. So, the given percentage can be changed into decimals.

This worksheet is helpful for students for practicing in their exams or for any other competitive exams. Practice using percentage to decimals worksheets and learn more tricks on solving different types of questions. Here we can see some of the examples of converting percentages into decimals with Answers. For more information on percentage, conversions have a glance at our Percentage Worksheets created to make your job easy.

1. Convert the following percent as decimals:

(i) 7%

(ii) 30%

(iii) 0.8%

Solution:

(i) 7%

Given 7%, now we will divide the given value with 100
= 7/100
on solving, we will get the result in decimals
= 0.07.

(ii) 30%

Given 30%, now we will divide the given value with 100
= 30/100
on solving, we will get the result in decimals
= 0.3.

(iii) 0.8%

Given 0.8%, now we will divide the given value with 100
= 0.8/100
on solving, we will get the result in decimals
= 0.008.

2.  Express the given percentage as a decimal

(i) 21%

(ii) 45%

(iii) 125%

Solution:

(i) 21%

Given 21%, now we will divide the given value with 100
= 21/100
on solving, we will get the result in decimals
= 0.21.

(ii) 45%

Given 45%, now we will divide the given value with 100
= 45/100
on solving, we will get the result in decimals
= 0.45.

(iii) 125%

Given 125%, now we will divide the given value with 100
= 125/100
on solving, we will get the result in decimals
= 1.25.

3. Which of the following is equal to 32%?

a) 0.32
b) 0.0032
c) 3.2
d) 0.032

Solution:

Given 32%, now we will divide the given value with 100
= 32/100
on solving, we will get the result in decimals
= 0.32.
So the option a is true.

4. Mr. Jack pays tax at the rate of 15% of his income. How much this could be in decimals?

Solution:

As Mr. Jack pays tax at the rate of 15% of his income,
So the decimals of his rate of income are
15/100
on solving, we will get the result in decimals
0.15.

5. Sam had 45% of his goals in a football match. Write the number of goals he made in decimal form?

Solution:

Sam had 45% of his goals in a football match,
so to convert the given percentage into decimal form,
we will divide the given value with 100
45/100
on solving, we will get the result in decimals
0.45.

6. A jar of orange juice was 85% full. What will be the amount of orange juice as a decimal?

Solution:

As a jar of orange juice was 85% full, so o find the amount of orange juice in decimals is
we will divide the given value with 100
85/100
on solving, we will get the result in decimals
0.85.

7. Convert the following percentage into decimal forms:

(i) 12.5%

(ii) 1.02%

(iii) 0.25%

(iv) 28%

Solution:

(i) 12.5%

Given 12.5%, now we will divide the given value with 100
= 12.5/100
on solving, we will get the result in decimals
= 0.125.

(ii) 1.02%

Given 1.02%, now we will divide the given value with 100
= 1.02/100
on solving, we will get the result in decimals
= 0.0102.

(iii) 0.25%

Given 0.25%, now we will divide the given value with 100
= 0.25/100
on solving, we will get the result in decimals
= 0.0025.

(iv) 28%

Given 28%, now we will divide the given value with 100
= 28/100
on solving, we will get the result in decimals
= 0.28.

Worksheet on Word Problems on Percentage | Percentage Word Problems

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As we use Percentages in our daily life, let’s know more about percentages in this worksheet. Here, in this worksheet on word problems on percentage, we will solve the real-time problems about percentages. We know that percent means Per Hundred which uses the number in terms of hundred. In the below sections, there are some real-time examples of percentages and some word problems which are solved. The Percentage Worksheets are useful for students and people who are preparing for some competitive exams.

1. The number of coins of $2 in the wallet is 50. And these coins form 25 % of its total coins. How many coins are there in the purse?

Solution:

The no. of coins of $2 in the wallet is 50,
Given 50 coins form 25%,

To know the total number of coins we assume they would be 100%

Number of coins be x

50 – 25%

x – 100%

on cross multiplying and separating x we have the value as 200

The total number of coins is 200 coins.

2. The total number of students in the class is 130 and in that 65 students are promoted for the next class. What will be the qualified percent of the students?

Solution:

The total number of students in class is 130 students,
And in that 65 students are promoted to the next class,
The qualified percent is
65/130 × 100
on solving we will get the result as
50%.
So 50% of students are promoted to the next class.

3. Levi bought a mobile phone at a discount of 15% and the original price of the mobile phone is $4,500. What will be the price of the mobile phone after the discount?

Solution:

The original price of the mobile phone is $4,500
and the discount that Levi got is 15%
which means 15% of $4,500
15/100 × 4500
on solving we will get
$675
So, the price of the mobile phone after the discount is
$4,500 – $675= $3,825.

4. Tom spends 20% of his income monthly on his expenses. How much this could be in decimals?

Solution:

As Tom pays spends 20% of his income monthly on his expenses,
So the decimals of his expenses are
20/100
on solving, we will get the result in decimals
0.2.

5. The auditorium was occupied by 50% of students and if the total seats in the auditorium are 120, how many seats were available?

Solution:

As the auditorium was occupied by 50%,
and total seats in the auditorium are 120, so
50/100 × 120
on solving we will get 42.
So 60 seats are occupied.
To find available seats, we will subtract the total seats with occupied seats.
On solving we will get 60 seats.
The number of seats available is 60.

6. Lisa ate the 1/3rd part of the apple pie. How much percent did Lisa eat?

Solution:

Lisa ate 1/3rd part of the apple pie,
To find the percent how much did Lis eat, we will multiply the fraction with 100
1/3 × 100
On solving we will get approx 33%.

7. In grade 6th the total pass percentage of girls is 70%. Show the percent into ratio?

Solution:

The pass percentage of the girls is 70%, so
= 70/100
on solving we will get
= 7:10.

Worksheet on Finding Percentage | Finding Percentage Worksheets with Solutions

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Here, in this Percentage worksheet, you will know about how to find the Percentage of the given values. This helps to practice for exams or any other competitive tests on the concept of finding Percent. Worksheet on Finding Percentage includes different types of questions with solutions. Let’s see some solved examples on finding percentage in the below. We have provided Step by Step Solutions for all the Problems in Percentage Worksheets so that it would be easy for you to understand the Concept of Percentages.

1.  Find the percent of the following:

(i) 5 liters is 100 ml.

(ii) 600 ml is 3000 ml.

(iii) 15 kg is 450 g.

Solution:

(i) 5 liters is 100 ml.
The given value is 100 ml of 5 liters,
we know that 1 liter= 1000 ml, so we will convert liter to ml,
5 liters= 5×1000
= 5,000 ml,
so, to find the percent
100/5,000 × 100=
on solving, we will get the result as
= 2%.

(ii) 600 ml is 3000 ml.

The given value is 3000 ml of 600 ml, which means
600/3000 × 100=
on solving, we will get the result as
= 20%.

(iii) 15 kg is 450 g.

The given value 450g of 15 kg,
as we know 1 kg= 1000 g, so we will convert kg to g,
15kg= 15×1000 = 15,000 g
450/15,000 × 100=
on solving, we will get the result as
= 3%.

2. Figure out the value of X for the following below?

(i) 25% of X is 1000

(ii) 45% of X is 90 cm

(iii) 3.25% of X is 150 kg

Solution:

(i) 25% of X is 1000
We should find the value of X, so
Let the number be X,
As given 25/100 × X = 1000
1000/25 ×100=
on solving, we will get 4000
So the value of X is 4000.

(ii) 45% of X is 90 cm

We should find the value of X, so
Let the number be X,
As given
45/100 × X = 90
90/45 ×100=
on solving, we will get 200
So the value of X is 200 cm.

(iii) 3.25% of X is 150 kg

We should find the value of X, so
Let the number X,
As given
3.25/100 × X = 150
150/3.25 ×100=
on solving, we will get 4,615.38
So the value of X is 4,615.38 kg.

3. What will be the number if 25% of the number is 4,500?

Solution:

Let the number X,
As given 25% of the number is 4,500, which means
25/100 × X = 4,500
4,500/25 ×100=
on solving, we will get 18,000
So the number is 18,000.

4. Tom’s total compensation, in the wake of paying personal duty at 15 % is $86,240. Find his gross pay?

Solution:

Let the Tom’s gross income be X,
then (100-15)% of X = $86,240,
which means,
85% of X = $86,240,
on solving, we will get $101,458.82.

5. Mike secures 20 % of the maximum marks to pass. If Mike gets 20 marks and fails by 20 marks, then find the maximum marks.

Solution:

Let the Mike marks be X,
As he got 20 marks and failed 20 marks,
the pass marks are 20+20,
which is 40,
so to find the maximum marks,
20% of X= 40,
on solving, we will get 80.
So, the maximum mark is 80.

6. Tony bought 10 dozens of bananas from the fruit market, out of that 5% was spoiled. How many number of bananas are in a stable condition?

Solution:

The total number of bananas Tony bought is 10 dozens,
As we know 1 dozen= 12,

so 10 dozens= 120 bananas,
in that 25% of bananas are spoiled, which means
25/100 × 120=
on solving, we will get 30.
So, the number of bananas in a stable condition is
120-30= 90

Therefore, 90 bananas are in stable condition.

7. The total number of students in the class is 90 and in that 55 are boy students. What will be the percentage of girl students?

Solution:

The total number of students in the class is 90 students,
The total number of boy students is 55 students,
So to find the percent of boy students, first we need to find out the number of boy students,
which is 90-55= 35 students.
and the percentage of the boy students is=
35/90 × 100 =
on solving, we will 38.89%
So the percentage of boys is 38.89%.

Worksheet on Decrease Percentage | Percentage Decrease Question and Answers

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Avail the Worksheet on Decrease Percentage while preparing for your examinations, or any other competitive tests. This Worksheet contains the concept of a decrease in the percentage. We know that percentage means per hundred which is used to share the amount in terms of hundred.  In this Decrease Percent Worksheet, you can find out how to solve the questions on decrease percentage. The below sections contain some questions on how to find and calculate the decreasing percent along with solved examples to make you understand the concept better.

Refer to Percentage Worksheets available for free of cost and learn how to solve different questions involving percentages.

How to Calculate Decrease Percentage?

To calculate Decrease Percentage, we need to find out the difference between the two numbers which we are comparing. The formula used is Decrease Percentage = Original number – New number.
After subtracting, we will divide the decrease by the original number, and then we will multiply the answer by 100. And if we need to find the % Decrease, we will use formula,
% Decrease = Decreased Value / Original number × 100
By this method, you can calculate the % Decrease. Below you can see some solved examples on Decrease percentage.

1. Find out the Decrease Percentage of the given below:

(i) 45 by 9%

(ii) 60 by 12%

(iii) 125 by 25%

Solution:

(i) 45 by 9%
The given value is 45 by 9%,
As the number 45 was decreased by 9%,
So, first, we will find the new number,
As a new number= 45 – decreased percentage,
which means
= 45 – (9% ×45)
on solving we will get 40.95.
So, the decreased percentage is 40.95.

(ii) 60 by 20%

The given value is 60 by 20%,
As the number 60 was decreased by 20%,
So, first, we will find the new number,
As a new number= 60 – decreased percentage,
which means
= 60 – (20% ×60)
on solving we will get 48.
So, the decreased percentage is 48.

(iii) 125 by 60%

The given value is 125 by 60%,
As the number 125 was decreased by 60%,
So, first, we will find the new number,
As a new number= 125 – decreased percentage,
which means
= 125 – (60% ×125)
on solving we will get 50.
So, the decreased percentage is 50.

2. Solve out the number when decreased by:

(i) 16% becomes 480

(ii) 3% becomes 194

(iii) 35% becomes 1950

Solution:

(i) 16% becomes 480
Here, we should find out the number,
So let the number be X
as given 16% was decreased,
So, decreased number= X – (16% × X), on solving we will get
= 0.84X
given that the number which when increased by 16% becomes 480, which means
0.84X =480, on solving we will get
X = 571 approx.

(ii) 3% becomes 194

Here, we should find out the number,
So let the number be X
as given 3% was decreased,
So, decreased number= X – (3% × X), on solving we will get
= 0.97X
given that the number which when increased by 3% becomes 194, which means
0.97X =194, on solving we will get
X = 200.

(iii) 35% becomes 1950

Here, we should find out the number,
So let the number be X
as given 35% was decreased,
So, decreased number= X – (35% × X), on solving we will get
= 0.65X
given that the number which when increased by 35% becomes 1950, which means
0.65X =1950, on solving we will get
X = 3000.

3. The classroom strength of the girls was decreased by 24 from 60. What is the decrease percentage?

Solution:

First, we will find the decreased number 60 – 24= 36,
then we will find the % of the decrease by using the formula
%Decrease = Decrease / original number × 100
= 36/60 ×100
on solving, we will get 60%
So, the decrease percentage is 60%.

4. The TV price was $2500 in the year 2019. And it was reduced to $1500 in 2020. What percent did the price of the TV reduced?

Solution:

In 2019 the TV price is $2500,
and in the year 2020, the price was reduced to $1500
The reduced price of the TV is $2500- $1500=
on solving we will get $1,000,
now, we will find the % of the decrease by using the formula
%Decrease = Decrease / original number × 100,
= 1000/ 2500 × 100
on solving, we will get
= 40%.
So the percent of the TV reduced is 40%.

5. A bike company was advertised a brand new model bike sale for $1,20,000 and was sold for $1,00,000. What was the percent reduced?

Solution:

The advertised price of the bike is $1,20,000,
it was sold for $1,00,000
the reduced price of the bike is $1,20,000- $1,00,000=
on solving we will get $20,000.
now, we will find the % of the decrease by using the formula
%Decrease = Decrease / original number × 100,
= 20,000/1,20,000 × 100
on solving, we will get
= 16.67%.
So the percent of the bike reduced is 16.67%.

Worksheet on Increase and Decrease Percentage | Percent Increase and Decrease Worksheet

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Worksheet on Increase and Decrease Percentage helps the students and the people who are preparing for various types of competitive tests. In this worksheet, we will discuss how to calculate the Increase and Decrease percentage of the number. Let’s see how to calculate the percent in the below sections. Practice the Solved Examples listed below and get to know how to find Percentage Increase or Decrease easily. Learn about the concept more in detail by accessing our Percentage Worksheets and learn the tricks and tips to solve related problems easily.

How to Calculate Percentage Increase and Decrease?

Increase Percentage: 
To calculate Increase Percentage, we will subtract the new number from the original number by using the formula
Increase = New number – Original number. We will calculate the % Increase by using the formula
% Increase = increased value / original number × 100
Then, we will divide the result by the original number, after that we will convert the result we got into a percentage, by multiplying the result by 100.

In the below sections, you can see some of the solved examples on Increase Percentage.

Decrease Percentage:
To calculate Decrease Percentage, we will subtract the new number from the original number by using the formula.
Decrease Percentage = Original number – New number.
After that, we will divide the decrease by the original number, and we will multiply the answer by 100. To find the % Decrease, we will use the formula,
% Decrease = Decreased Value / original number × 100.

Below you can see some solved examples on Decrease percentage.

1. Solve the given below and find the Increased or Decreased number:

(i) 115 increased by 15%

(ii) 2500 increased by 10%

(iii) 380 decreased by 19%

(iv) 180 decreased by 24%

Solution:

(i) 115 increased by 15%
The given value is 115 by 15%,
As the number 115 was increased by 15%,
So, first, we will find the new number,
As a new number= 115 + increased percentage,
which means
= 115 + (15% ×115)
on solving we will get 132.25.
So, the increased number is 132.25.

(ii) 2500 increased by 10%

The given value is 2500 by 10%,
As the number 2500 was increased by 10%,
So, first, we will find the new number,
As a new number= 2500 + increased percentage,
which means
= 2500 + (10% ×2500)
on solving we will get 2,750.
So, the increased number is 2,750

(i) 380 decreased by 19%

The given value is 380 by 19%,
As the number 380 was decreased by 19%,
So, first, we will find the new number,
As a new number= 380 – decreased percentage,
which means
= 380 – (19% ×380)
on solving we will get 307.8.
So, the number 380 decreases to 307.8.

(iv) 180 decreased by 24%

The given value is 180 by 24%,
As the number 180 was decreased by 24%,
So, first, we will find the new number,
As a new number= 180 – decreased percentage,
which means
= 180 – (24% ×180)
on solving we will get 136.8.
So, the number decreases to 136.8.

2. Find the change in Percentage from the first quantity to the second quantity:

(i) 90 cm, 60 cm.

(ii) $650, $520.

(iii) 250 km, 450 km.

(iv) 50 km, 70km.

Solution:

(i) 90 cm, 60 cm.
Given 90 cm decreases to 60 cm,
so Decrease= Original number – New number.
= 90-60
which is 30,
Percentage of Decrease= Decrease / original number × 100
= 30/90 × 100
on solving, we will get 33.33%.
The decrease percent is 33.33%.

(ii) $520, $650.

Given $520 increases to $650.
Increase = New number – Original number
so Increase= $650-$520
which is 130,
Percentage of Increase= Increase / original number × 100
= 130/520 × 100
on solving, we will get 25%.
The Increase percent is 25%.

(iii) 300 km, 250 km.

Given 300 km decreases to 250 km,
so Decrease= Original number – New number.
= 300-250
which is 50,
Percentage of Decrease= Decrease / original number × 100
= 50/300 × 100
on solving, we will get 16.67%.
The decrease percent is 16.67%.

(iv) 50 km, 70km.

Given 50 km increases to 70 km,
Increase = New number – Original number
so Increase= 70-50
which is 20,
Percentage of Increase= Increase / original number × 100
= 20/50 × 100
on solving, we will get 40%.
The Increase percent is 40%.

3. The number 800 Increases by 20 % and then the number was decreased the same by 25 %. What is the new number in that case?

Solution:

Here, we must find the Increase number,
The given value is 800 increases by 20%,
which means
= 800 + (20% ×800)
on solving we will get 960.
And 960 was decreased by 25%,
Which means
= 960 – (25% × 960)
On solving, we will get 720.
The new number is 720.

4. The total number of hours Maddy worked in the month of June is 32 hours, and in July he worked for 48 hours. Find by what percentage did Maddy’s work hours increases in July?

Solution:

Here, we will find the difference between hours of June and July,
which means 48 – 32= 16 hours.
now, we will find the increased percent,
Percentage of Increase= Increase / original number × 100
= 16/32 × 100
on solving, we will get 50%
So, the increase percent of Maddy’s working hours is 50%.

5. The total number of students in class 8 is 95 and in that 65 students went to the picnic. What is the decrease percentage?

Solution:

First, we will find the decreased number 95 – 65= 30,
then we will find the % of the decrease by using the formula
%Decrease = Decrease / original number × 100
= 30/95 ×100
on solving, we will get 31.57%
So, the Decrease in percentage is 31.57%.

Worksheet on Finding Percent | Percent Worksheets for Practice

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To practice for exams or any other competitive tests on the concept of finding Percent, you can find here different types of questions with solutions. The Percent means per hundred which are used to share the amount in terms of hundred. And the percentage can be represented with the symbol %. This is also used to define a portion of a fraction of a whole. In the below, you can see some of the examples of finding percent. Practice using the Finding Percentage Worksheets and clear the exam with better grades.

How to Find Percent?

To find the percent, we will multiply the given number, fraction, or a decimal by 100 and then we will add the percent symbol %. So, for example, if we consider two variables X and Y to calculate the percent of X which represents Y and we will divide Y with X, then we will multiply the result by 100. Let’s solve some of the examples below.

1.  Find the percent of the following:

(i) 2.6 liters is 130 ml.

(ii) 300 ml is 1500 ml.

(iii) 6 kg is 300 g

Solution:

(i) 2.6 liters is 130 ml.

Given 130 ml of 2.6 liters,
as we know 1 liter= 1000 ml, so we will convert liter to ml,
2.6 liters= 2.6×1000
= 2,600 ml,
so, to find the percent
130/2600 × 100=
on solving we will get the result as
=5%.

(ii) 300 ml is 1500 ml.

Given 1500 ml of 300 ml, which means
300/1500 × 100=
on solving we will get the result as
= 20%.

(iii) 6 kg is 300 g

Given 300g of 6 kg,
as we know 1 kg= 1000 g, so we will convert kg to g,
6kg= 6×1000 = 6000 g
300/6000 × 100=
on solving we will get the result as
= 5%.

2. Solve the following:

(i) 60 cm as a percent of 5 m.

(ii) 20 mins as a percent of 2 hours.

(iii) 1.25 mm as a percent of 2.5 cm

Solution:

(i) 60 cm as a percent of 5 m.

Given 60 cm of 5m,
as 1m= 100 cm, so first we will convert meters to centimeters
5m= 500 cm,
60/500 × 100 =
on solving we will get the result as
= 12%.

(ii) 20 mins as a percent of 2 hours.

Given 20 mins of 1 hour,
as 1 hour = 60 minutes, so we will convert hour to minutes,
2 hour= 120 minutes,
2/120 × 100=
on solving we will get the result as
16.67%.

(iii) 1.25 mm as a percent of 2.5 cm

Given 1.25mm of 2.5 cm
as 1 cm= 10 mm, so we will convert cm to mm
2.5 cm = 25 mm,
1.25/25 × 100=
on solving we will get
5%.

3. Fill up the below empty space:

(i) 5 is _________ % of 25.

(ii) 70 cm is _________ % of 140 cm.

(iii) 15 liters is  __________ % of 300 liters.

Solution:

(i) 5 is _________ % of 25.

Given 5 percent of 25, which means
5/25 × 100
on solving, we will get the result as
20%.
So, 5 is 20% of 25.

(ii) 70 cm is _________ % of 140 cm.

Given 70 cm of 140 cm, which means
70/140 × 100
on solving, we will get the result as
5%.
So, 70 cm is 5% of 140 cm.

(iii) 15 liters is  __________ % of 300 liters.

Given 15 liters of 300 liters, which means
15/300 × 100
on solving, we will get the result as
5%
So, 15 liters is  5 % of 300 liters.

4.  The water tanks contain 160 liters of water. By the leakage of the tank, 20 liters of water is lost. What percent of water is lost?

Solution:

As the tank contains 160 liters of water,
And the tank lost 20 liters by leakage,
So the percent of water lost is
20/160 × 100
on solving, we will get 12.5%.
The percent of water lost is 12.5%

5. The total number of students in grade 8 is 70 and in that 63 students are qualified for grade 9. What will be the qualified percent of the grade 8th students?

Solution:

The total number of students in grade 8 are 70 students,
And in that 63 students are qualified to grade 9,
The qualified percent of grade 9 is
63/70 × 100
on solving we will get the result as
90%.
So 90% of students are qualified to grade 9.

6. Mary has $50 with her and she bought groceries worth of $20. Express this in percent?

Solution:

As Mary has $50 and she bought $20 worth of groceries,
So the percent  is
20/50 ×100=
on solving, we will get
40%.