Simple Interest Ques 6

Question-

A earns an interest of Rs. 2880 on a certain sum when it is invested for 3 years offering $R \%$ simple interest per annum. B earns an interest of Rs. 4000 on a certain sum when it is invested for 5 years offering $R \%$ simple interest per annum. Sum invested by $A$ is what per cent more than that invested by B?

(1) $66 \frac{2}{3} \%$

(2) $33 \frac{1}{3} \%$

(3) $30 \%$

(4) $40 \%$

(5) $20 \%$

(IDBI Bank PO Exam 29.04.2018)

Show Answer

Correct Answer: (5)

Solution: (5)

Case I,

Principal $=\frac{\text { Interest } \times 100}{\text { Time } \times \text { Rate }}$

$\Rightarrow P_{1}=\frac{2880 \times 100}{3 \times R}$ = Rs. $\frac{96000}{R}$

Case II,

$P_{2}=\frac{4000 \times 100}{R \times 5}=Rs . \frac{80000}{R}$

$\therefore$ Required per cent $=(\frac{\frac{96000-80000}{R}}{\frac{80000}{R}}) \times 100$ $=\frac{16000}{80000} \times 100=20 \%$