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ExamsSSC CGL (Prelims)General

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

  1. ₹ 28,800
  2. ₹ 33,600
  3. ₹ 25,600
  4. ₹ 35,000

Correct answer: ₹ 25,600

Solution

M's initial capital is ₹40,000, so N's initial capital is ₹30,000 from the ratio $4:3$. For the first 5 months, M contributes $40000\times5$ and N contributes $30000\times5$. For the next 7 months, M contributes $32000\times7$ after withdrawal, and N contributes $60000\times7$ after doubling. The ratio of capital-months becomes $396000:510000=33:42.5$, which simplifies to $16:21$; hence M's share of ₹60,000 is ₹25,600.

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