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Q.

A borrowed Rs. 1250 for 3 years at 20% per annum at S.I. and B borrows same sum at same rate for same period at C.I. Who pays more interests?

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a

B

b

A

c

Both are same

d

Can't say

answer is B.

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Detailed Solution

$\begin{matrix} \begin{matrix} \begin{array}{l} A @ S I \\ S I = \frac{P T R}{\begin{array}{l} 100 \\ \Rightarrow \frac{1250 \times 3 \times 20}{100} \\ S I = 750 \end{array}} \end{array} & \begin{array}{l} B @ C I \\ C I = P [{(1 + \frac{R}{100})}^{n} - 1] \\ = 1250 [{(1 + \frac{20}{10})}^{3} - 1] \\ = 1250 [\frac{216 - 125}{125}] \\ C I = 910 \end{array} \end{matrix} \end{matrix}$

So, B pays more interest

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