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At the start, P's capital is \(\frac{9}{4}\) of Q's capital. After 4 months, P withdrew \(\frac{1}{3}\) of his capital. After 6 months, Q withdrew \(\frac{1}{2}\) of his capital. If the total profit is ₹88,000, find P's share.
- ₹56,700
- ₹61,600
- ₹70,300
- ₹35,200
Correct answer: ₹61,600
Solution
P and Q invest in the ratio 9:4 initially. P reduces his capital after 4 months, and Q reduces after 6 months, so their weighted contributions must be computed in two parts. Using the resulting ratio, P's share comes to ₹61,600 out of ₹88,000.
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