If compound interest on a certain sum for 2 years is ₹ 105 and simple interest is ₹ 100 , then s

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6.Interest

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If the compound interest on a certain sum for $2$ years is ₹ $105$ and simple interest is ₹ $100$, then the sum (In ₹) is

A

$300$

B

$500$

C

$400$

D

None of these

Solution

(b) We have,

$CI – SI =\frac{R \times SI }{200} \Rightarrow 105-100=\frac{R \times 100}{200}$

$\Rightarrow R=10$

Also, $CI – SI =P\left(\frac{R}{100}\right)^{2} \Rightarrow 105-100=P\left(\frac{10}{100}\right)^{2}$

$\Rightarrow P=₹ 500$

Standard 13

Quantitative Aptitude

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