SarkariPYQ

SSC GD 2025 PYQ — Question 50

SSC GD Const 2025 (English) - 04 Feb 2025 - Shift 1 • Quantitative Aptitude • Q50

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Mandar has two grandsons Ketan and Tushar. 11 year old Ketan gets some money from Mandar’s wealth and 12 year old Tushar gets rest of the money. But Ketan and Tushar will get money only when they turn 22 years old. Till then the money is in a bank getting interest at rate 8% compounded annually. When both turn 22, they receive the same amount. How much had Mandar given Tushar (in ₹) initially, if total money with Mandar was ₹24700?

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 12825.

Let Ketan's share = ₹x
Then Tushar's share = ₹(24700 − x)

Ketan: Invested for (22 − 11) = 11 years

Tushar: Invested for (22 − 12) = 10 years

x(1.08)11=(24700−x)(1.08)10⇒x×1.08=24700−x⇒x(1+1.08)=24700⇒x(2.08)=24700⇒x=247002.08=11875x(1.08)^{11} = (24700 - x)(1.08)^{10} \\[8pt] \Rightarrow x \times 1.08 = 24700 - x \\ \Rightarrow x(1 + 1.08) = 24700 \\ \Rightarrow x(2.08) = 24700 \\ \Rightarrow x = \frac{24700}{2.08} = 11875

So, Tushar's share = 24700 − 11875 = ₹12825