SSC GD 2025 PYQ — Question 50

SSC GD Const 2025 (English) - 17 Feb 2025 - Shift 1 • Quantitative Aptitude • Q50

When difference between compound and simple interest for three years is ₹122 at 5% interest per annum, the principal is ₹______

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 16000.

Difference between CI and SI for 3 years = P × (R2/1002) × (300+R)/100

Here, Difference = 122, R = 5

So,

122 = P × (25 / 10000) × (305 / 100)

122 = P × (25 × 305) / 1000000

122 = P × 7625 / 1000000

122 = P × 0.007625

P = 122 / 0.007625

P = 16000