SSC CGL 2024 PYQ — Question 75

SSC CGL - 12 Sep 2024 - Shift 2 • Quantitative Aptitude • Q75

A person borrowed some money on simple interest. After 4 years, he returned 959\over 5 of the money to lender. What was the rate of interest?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 20% p.a..

Given that, amount = 959\over 5 of principal

Let the money borrowed by the person (principal) be Rs.x.

⇒ Amount = 959\over 5x

SI = Amount - Principal

Also, SI = P×R×T100{P \times R \times T}\over 100

According to the given question,

SI = 959\over 5x - x

⇒ 454\over 5x

Also, SI = x×R×4100{x \times R \times 4}\over 100

⇒ 454\over 5x =   4x1004x\over 100 × R

⇒ R = 20%

Hence the rate of interest is 20% p.a..