Question

If compound interest on a certain sum of money at 5% per annum for 2 years is Rs. 246. The simple interest on the same sum for 4 years at 8% per annum is :
A. Rs. 786
B. Rs. 768
C. Rs. 815
D. Rs. 840

Answer 1

Answer :-

(b) Rs. 768

Explanation :-

$\begin{gathered}\sf \color{red} C.I. = P \: \bigg[ \bigg(1 \: + \: \frac{ x }{100} \bigg) ^{n} \: - 1 \bigg] \\ \end{gathered}$

$\begin{gathered}\sf \color{lime}246 = P \: \bigg [ \bigg(1 \: + \: \frac{5}{100} \bigg)^{2} \: - 1 \bigg] \\ \end{gathered}$

$\begin{gathered}\sf \color{purple} 246 = P \: \bigg [ \bigg( \frac{105}{100} \bigg)^{2} \: - 1 \bigg] \\ \end{gathered}$

$\begin{gathered}\sf \color{cyan} 246 = P \: \bigg [\bigg( \frac{21}{20} \bigg)^{2} \: - 1 \bigg] \\ \end{gathered}$

$\sf \blue {P = 2400}$

$\sf \color{orange} So, \: SI \: on \: Rs. \: 2400 \: for \: 4 \: years \: at \: 8 \: percent \: S.I.$

$\begin{gathered}\sf \color{pink} \implies S.I. = \frac{2400 \: \times \: 4 \: \times \: 8}{100} \\ \end{gathered}$

$\sf \color{green} = 24 \: \times \: 32 \: = 768$

$\sf \color{yellow}{Hence, \: option \: B \: is \: correct.}$

Answer 2

Answer:

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Explanation: