SarkariPYQ

SSC GD 2025 PYQ — Question 51

SSC GD Const 2025 (English) - 05 Feb 2025 - Shift 1 • Quantitative Aptitude • Q51

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Shan has ₹1612 with him. He divided it amongst his sons Piyush and Manoj and asked them to invest it at 8% rate of interest compounded annually. It was seen that Piyush and Manoj got same amount after 12 and 13 years respectively. How much (in ₹) did Shan give to Piyush?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 837.

Let P = amount to Piyush,

then P = (1.08)12=(1612−P)(1.08)13(1.08)^{12} = (1612−P)(1.08)^{13}

So P = (1612 − P) × 1.08 →  2.08P = 1.08 × 1612 → P = 837