M and N start business with capital ratio 4:3. After 5 months, M withdraws ₹8,000, N doubles his. If M invested ₹40,000 and total profit of one year is ₹60,000, what is M's share?

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Accepted Answer

1. Initial capitals: M = ₹40,000. Ratio 4:3 gives N = ₹30,000.

2. After 5 months: M becomes ₹32,000 (₹40,000 − ₹8,000). N doubles to ₹60,000.

3. Time-weighted investments: M = $40,000	imes5 + 32,000	imes7 = 424,000$. N = $30,000	imes5 + 60,000	imes7 = 570,000$.

4. Ratio M:N = $424000:570000 = 212:285$. So M's fraction = $\dfrac{212}{212+285}=\dfrac{212}{497}$.

5. M's share = $60,000	imes\dfrac{212}{497}\approx ₹25,600$. Choose (c).

FINAL_ANSWER: c

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