SSC GD 2023 PYQ — Question 45

SSC GD Constable (English) - 25 Jan 2023 - Shift 1 • Quantitative Aptitude • Q45

At a certain rate of interest per annum, the difference between the compound interest, compounding annually, and the simple interest on ₹5,000 for 2 years is ₹72. The rate of interest per year is:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 12%.

Given that

Principal = ₹5,000

C.I. - S.I. = ₹72

Time = 2 years

Formula used

C.I. - S.I. = P (R/100)2

Calculation

⇒ 72 = 5000 (R/100)2

⇒ 72 = 0.5 × R2

⇒ R2 = 72/0.5

⇒  R2 = 720/5 = 144

R = 12 %