SSC GD 2025 PYQ — Question 60

SSC GD Const 2025 (English) - 20 Feb 2025 - Shift 3 • Quantitative Aptitude • Q60

If at same rate of interest, in 2 years, the simple interest is ₹40 and compound interest is ₹80, then what is the principal (in ₹)?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 10 . 

SI = P × R × T / 100

40 = P × R × 2 / 100

PR = 2000

For 2 years:

CI − SI = P × R2 / 10000

80 − 40 = P × R​​​​​​​2/ 10000

40 = P × R​​​​​​​2 / 10000

PR2 = 400000

PR​​​​​​​2 / PR = 400000 / 2000

R = 200

P × 200 = 2000

P = 10