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SSC CPO 2025 PYQ — Question 113

SSC CPO - 9 Dec 2025 - Shift 1 • Quantitative Aptitude • Q113

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X and Y started a business investing Rs. 60,000 and Rs. 90,000 respectively. After 5 months, X withdrew half his capital, and Y added Rs. 30,000 more. If the total profit at year-end is Rs. 49,500, find X’s share.

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Correct answer: D

Explanation

X's Investment:

First 5 months = 60,000 × 5 = 300,000

Next 7 months = 30,000 × 7 = 210,000

Total = 510,000

Y's Investment:

First 5 months = 90,000 × 5 = 450,000

Next 7 months = 120,000 × 7 = 840,000

Total = 1,290,000

X : Y = 510,000 : 1,290,000 = 17 : 43

X's Share =49,500×(1717+43)=₹14,025= 49{,}500 \times \left(\frac{17}{17 + 43}\right) = ₹14{,}025