SSC CGL 2021 PYQ — Question 60

SSC CGL - 18 Aug 2021 - Shift 1 • Quantitative Aptitude • Q60

What is the difference (in Rs) between the simple interest and the compound interest on a sum of Rs 8000 for 225\frac{2}{5}years at the rate of 10% p.a., when the interest is compounded yearly?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 147.20.

Principal = 8000 , Rate = 10% and time = 12/5 years

SI = (P × R × T)/100

SI = (8000 × (12/5) × 10)/100 = 1920

CI = P(1 + R/100)T - P

CI = 8000(1 + 10/100)2 × (1 + 4/100) - 8000   [ i.e., 10 × (2/5) = 4% ]

CI = (10067.2 - 8000) = 2067.2

Required difference = (2067.2 - 1920) = 147.20