SSC GD 2025 PYQ — Question 43

SSC GD Const 2025 (English) - 06 Feb 2025 - Shift 3 • Quantitative Aptitude • Q43

If at same rate of interest, in 2 years, the simple interest is ₹44 and compound interest is ₹45, then what is the principal (in ₹)?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 484.

Let, principal = P, rate = r

SI in 2 years = P×r×2100P × r × 2\over100 = 44

Pr = 2200 …(1)

CI in 2 years = P[(1 + r100r\over100)2 − 1] = 45

⇒ P(r100r\over100)(2 + r100r\over100) = 45

From (1), P(r100r\over100) = 22

⇒ 22(2 + r100r\over100) = 45

⇒ 44 + 0.22r = 45

⇒ r = 10022100\over22 = 501150\over11

Now, P = 2200r2200\over r = 220050112200\over{50\over11} = 2200×11502200 × 11\over50 = 484