SSC GD 2021 PYQ — Question 53

The correct answer is option 2 i.e. Rs.9100, 10%

The amount became in 4 years = 12740

The amount became in $7\frac{1}{2}$years = 15925

So, the amount became in $2\frac{1}{2}$ = 3185

SI = (p × r × t)/100

$3185=\dfrac{12740\times r\times\frac{5}{2}}{100}$

318500 = 31850r

r = 10%

And,

12740 - p = (p × 10 × 4)/100

127400 - 10p = 4p

p = 1274000/14 = 99000

The sum (in Rs.) and the rate percentage p.a. respectively are Rs 99,000 and 10%.