SSC GD 2023 PYQ — Question 56

SSC GD Constable (English) - 27 Jan 2023 - Shift 4 • Quantitative Aptitude • Q56

Find the compound interest on ₹3,00,000, compounded half-yearly, for 2 12\frac{1}{2} years at the rate of 20% per annum. 

Show answer & explanation

Correct answer: C

Explanation

The Correct answer is option 3 i.e. ₹1,83,153 

Given that

Principal = ₹3,00,000

Rate = 20%, Time =  2 12\frac{1}{2} years

When compounded half-yearly,

The rate = 20%/2 = 10% and time = 2.5 × 2 = 5 years

Formula used

Compound interest = Principal (1 + rate/100)time - Principal

Calculation

Compound interest = 300000 (1 + 10/100)5 - 300000

= 483153 - 300000 = Rs. 183153