#### In what time will ₹ 2400 amount to ₹ 2646 at 10% p.a. compounded semi-annually?

**Solution:**

It is given that

Amount (A) = ₹ 2646

Principal (P) = ₹ 2400

Rate (r) = 10% p.a. or 5% semi-annually

Consider Period = n half-years

We know that

A/P = (1 + r/100)^{n}

Substituting the values

2646/2400 = (1 + 5/100)^{n}

By further calculation

(21/20)^{n} = 441/400 = (21/20)^{2}

n = 2

Therefore, the time period is 2 half years or 1 year.

**More Solutions:**

- Find the population of the town at the end of two years.
- The present population of a town is 15625.
- The population of a city increase each year by 4%.
- The cost of a refrigerator is ₹ 9000.
- Dinesh purchased a scooter for ₹ 24000.
- What was the yearly produce of wheat two years ago?
- what was its value three years ago?
- Ahmed purchased an old scooter for ₹ 16000.
- Find the annual rate of growth of production of cars.