Question

The difference between the compound interest ,compounded annually and the simple interest on certain sum for 2 years at 15% per annum is RS 180. find the sum.

Answer 1

Let principal = Rs 'x'

$SI=\dfrac{P\times R\times T}{100}\\\\\\SI=\dfrac{x\times15\times2}{100}\\\\\\=\dfrac{3x}{10}\\\\\\CA=P\:\bigg(1+\dfrac{r}{100}\bigg)^t\\\\\\=x\bigg(1+\dfrac{15}{100}\bigg)^2\\\\\\=\dfrac{529}{400}x\\\\\\CI=\dfrac{529}{400}x-x\\\\\\=\dfrac{129}{400}x$

According to the question

$CI-SI=180\\\\\\\implies\dfrac{129x-120x}{400}=180\\\\\\\implies9x=180\times400\\\\\\\implies x=\dfrac{180\times400}{9}\\\\\\\implies \boxed{\bold{x=Rs.\:8000\:answer}}$

Answer 2

Answer:

RUPEES 8000

Step-by-step explanation:

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