Exams › IBPS PO › General Awareness
A and B invested ₹4000 and ₹6000, respectively, in a business. C joins them after $x$ months with an investment of ₹5000. If after one year A receives ₹240 and C receives ₹100 as a share of profit, then find the value of $x$.
- 4
- 5
- 6
- 8
Correct answer: 8
Solution
In partnership, profit is divided in the ratio of capital multiplied by time. A invests for 12 months, while C invests for $(12-x)$ months, so A:C = $4000\times12 : 5000\times(12-x)$. Given A:C = 240:100 = 12:5, solving gives $48000 : 5000(12-x)=12:5$, hence $5\cdot48000=12\cdot5000(12-x)$ and $x=8$.
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