Ratio of S.I. & C.I. on a certain sum of money at 5 % per annum for 2 years

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6.Interest

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Find the ratio of $S.I. \& C.I.$ on a certain sum of money at $5 \%$ per annum for $2$ years

A

$50:51$

B

$40:41$

C

$30:31$

D

$45:46$

Solution

Here, $\frac{S I}{C I}=\frac{\frac{P \times R \times T}{100}}{P\left[\left(1+\frac{R}{100}\right)^{2}-1\right]}$

$=\frac{\frac{100 \times 5 \times 2}{100}}{100\left[\left(1+\frac{5}{100}\right)^{2}-1\right]}=\frac{\frac{10}{100}}{\frac{41}{400}}=40: 41$

Standard 13

Quantitative Aptitude

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