Question:

A starts business with Rs. 5000. B joins 5 months later with Rs. 6000. After a year, profit = Rs. 34,000. Find A’s and B’s shares.

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Profit shares are proportional to capital × time invested.
Updated On: Aug 11, 2025
  • Rs. 20,000 and Rs. 14,000
  • Rs. 16,000 and Rs. 16,000
  • Rs. 14,000 and Rs. 20,000
  • None of these
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The Correct Option is A

Solution and Explanation

A’s capital-months = \( 5000 \times 12 = 60000 \) B’s capital-months = \( 6000 \times 7 = 42000 \) Ratio of shares = \( 60000 : 42000 = 10 : 7 \) Total parts = 17, so: \[ A = \frac{10}{17} \times 34000 = 20000, B = \frac{7}{17} \times 34000 = 14000 \]
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