# Worksheet on Decrease Percentage | Percentage Decrease Question and Answers

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%.