SSC GD 2023 PYQ — Question 47

SSC GD Constable (English) - 17 Jan 2023 - Shift 2 • Quantitative Aptitude • Q47

Abdul paid ₹5,832 after some years to a bank. He took ₹5,000 loan at the rate of 8% per annum to be compounded annually. Find the time (in years).

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 2. 

We know that,

A = P(1 + R/100)T

here, A = Amount, P = Principle, R = Rate, and T = Time

⇒ 5832 = 5000(1 + 8/100)T

⇒ 5832/5000 = (1 + 2/25)T

⇒ 5832/5000 = (27/25)T

⇒ 2916/2500 = (27/25)T

⇒ (54/50)2 = (27/25)T

⇒ (27 × 2/25 × 2)2 = (27/25)T

⇒ (27/25)2 = (27/25)T

⇒ T = 2 years