SSC CGL 2023 PYQ — Question 66

SSC CGL - 24 July 2023 - Shift 2 • Quantitative Aptitude • Q66

The simple interest on ₹800 for 6 years at 5.5% per annum is equal to the simple interest on ₹600 at 4% per annum for a certain period of time. The period of time is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 11 years.

Simple Interest (SI) = (P × R × T) / 100

For the first scenario: SI1 = (800 × 5.5 × 6) / 100 = 264

For the second scenario: SI2 = (600 × 4 × T) / 100 = 24T

SI1 = SI2

264 = 24T

T = 264 / 24 = 11 years