GATE 2022 CE (CE1) – Question 7
P invested ₹5000 per month for 6 months of a year and Q invested ₹x per month for 8 months in a partnership. Profit is shared in proportion to total investment in that year. If Q receives $4/9$ of the total profit, what is x (in ₹)?
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Correct answer: (B) 3000
Explanation
Total annual investments are $5000(6)=30000$ for P and $8x$ for Q. Q receives $4/9$ of profit, leaving $5/9$ for P, so their investment ratio is $4:5$.
Thus $8x/30000=4/5$, giving $x=\mathbf{3000}$ rupees, **B**.