SSC CHSL 2023 PYQ — Question 68

SSC CHSL - 08 Aug 2023 - Shift 4 • Quantitative Aptitude • Q68

Basanthi deposited ₹50,000 in a co-operative bank which is giving compound interest at the rate of 10% per annum. What will be her interest in the 3rd year?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. ₹6,050.

A = P(1+R100)TP(1 + {R\over100})^T

For 3 years:

⇒ A3 = 50000(1+10100)350000(1 + {10\over100})^3

⇒ A3 = 50000(1+0.1)350000(1 + 0.1)^3

⇒ A3 = 50000(1.1)350000(1.1)^3

⇒ A3 = ₹66550

For 2 years:

⇒ A2 = 50000(1+10100)250000(1 + {10\over100})^2

⇒ A2 = 50000(1+0.1)250000(1 + 0.1)^2

⇒ A2 = 50000(1.1)250000(1.1)^2

⇒ A2 = ₹60500

Thus,

Interest in 3rd year = A3 - A2

⇒ 66550 - 60500 = ₹6050