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# Find the Compound Interest at the Rate of 10% per Annum for Two Years on that Principal Which in Two Years at the Rate of 10% per Annum Gives Rs 200 as Simple Interest. - Mathematics

Numerical

Find the compound interest at the rate of 10% per annum for two years on that principal which in two years at the rate of 10% per annum gives Rs 200 as simple interest.

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#### Solution

SI $= \frac{PRT}{100}$
$\therefore P = \frac{SI \times 100}{RT}$
$= \frac{200 \times 100}{10 \times 2}$
= Rs 1, 000
A = P $\left( 1 + \frac{R}{100} \right)^n$
$= 1, 000 \left( 1 + \frac{10}{100} \right)^2$
$= 1, 000 \left( 1 . 10 \right)^2$
= Rs 1, 210
Now,
CI = A - P
= Rs 1, 210 - Rs 1, 000
= Rs 210

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 14 Compound Interest
Exercise 14.1 | Q 10 | Page 5
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