SSC GD 2024 PYQ — Question 60

SSC GD Const (English) - 20 Feb 2024 - Shift 1 • Quantitative Aptitude • Q60

The simple interest received on a sum for 40 years is 2/5 of the sum. What is the annual rate of interest?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1 percent.

Given that

S.I received on the sum = 2/5 of the sum

Let the sum be denoted by P

let R denote the rate of interest

Time = T = 40

Formula used 

S.I = P×R×T100\frac{P × R ×T}{100}

25\frac{2}{5}P = P×R×40100\frac{P × R × 40}{100}

Solving for R we get

R =  200200\frac{200}{200} = 1

Hence, the annual rate of interest is 1 percent.