Question

The sum of S.I. and C.I. for principle amount of Rs.$5,000$ for $3$ years compounded yearly at $10\%$ per annum ?

• A. Rs.$3,155$
• B. Rs.$3255$
• C. Rs.$3,355$
• D. Rs.$3,055$

Answer 1

The correct option is A Rs.$3,155$

$\Rightarrow$ $P=$Rs.$5000,T=3$years$,R=10\%$

$\Rightarrow$ $S.I.=\frac{P\times R\times T}{100}$

$\Rightarrow$ $S.I.=\frac{5000\times 10\times 3}{100}=$Rs.$1500$

$\Rightarrow$ $C.I.=P(1+\frac{R}{100}{)}^T-P$

$\Rightarrow$ $C.I.=5000\times (1+\frac{10}{100}{)}^3-5000$

$\Rightarrow$ $C.I.=6655-5000=$Rs.$1655$

$\therefore$ $S.I.+C.I.=$Rs.$1500+$Rs.$1655=$Rs.$3155.$