SSC GD 2025 PYQ — Question 41

SSC GD Const 2025 (English) - 17 Feb 2025 - Shift 3 • Quantitative Aptitude • Q41

Veer has ₹1632 with him. He divided it amongst his sons Nitin and Pravin and asked them to invest it at 4% rate of interest compounded annually. It was seen that Nitin and Pravin got same amount after 12 and 13 years respectively. How much (in ₹) did Veer give to Nitin?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 832.

P1 × (1 + r/100)12 = P2 × (1 + r/100)13

(1 + r/100) = 104/100 = 26/25

PNitin = PPravin × 26/25

PPravin + PNitin = 1632

PPravin + 26/25 × P_Pravin = 1632

(51/25) × PPravin = 1632

PPravin = 1632 × 25/51 = 32 × 25 = 800

PNitin = 1632 − 800 = 832