Simple Interest Ques 7

Question-

If a person invested Rs. 6000 at $T\% $ S.I. for 3 years and same amount at $(T+5) \%$ C.I. for 2 years and difference between both interests is Rs. 60, then find the value of T. (in$ \%$)

15

20

18

24

25

IBPS RRBs Officer CWE (Prelim Exam) 04.08.2019

Show Answer

Correct Answer: (1)

Solution: (1)

When $T=15%$

S.I. $=\frac{6000 \times 15 \times 3}{100}$ $=$ Rs. 2700

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

$=6000[(1+\frac{20}{100})^{2}-1]$

$=6000[(1+\frac{1}{5})^{2}-1]$

$=6000(\frac{36}{25}-1)$

$=6000 \times \frac{11}{25}=$ Rs. 2640

$\therefore$ Difference $=$ Rs. $(2700-2640)$ $=$ Rs. 60