SSC CGL 2022 PYQ — Question 52

SSC CGL - 06 Dec 2022 - Shift 1 • Quantitative Aptitude • Q52

The simple interest received on a sum is 25/36 of the sum. The number of years is equal to the annual rate of interest. What is the annual rate of interest?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 8.33 percent.

Given:

Interest = 2536×Principle{25 \over 36} \times Principle 

R = T

Concept Used:

SI=P×T×R100SI = {{P \times T \times R}\over 100}

Explanation:

According to the given question, 

⇒ 2536P=P×R2100{25 \over 36} P = {P \times R^2 \over 100}

⇒ 25×10036=R2{25 \times 100 \over 36} = R^2

Taking square root on both sides, we get

⇒ R = 50/6 

⇒ R = 8.33

Hence the rate of interest is 8.33%.