SSC CHSL 2023 PYQ — Question 61

SSC CHSL - 02 Aug 2023 - Shift 1 • Quantitative Aptitude • Q61

How long {in years} will a sum of money invested at 6% per annum simple interest to increase its value by 40%?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e.  623\frac{2}{3}

Given that

The rate of simple interest = 6% p.a.

Increase in value by 40%

Formula used

S.I. = Principal × rate × time/100

Amount = Principal + S.I.

Let the Principal be 100X

Amount = 100X + 100X × 6 × time/100

⇒ 140X = 100X + 100X × 6 × time/100

⇒ 40X = 6X × time

time = 40/6 =  623\frac{2}{3} years