Multiple choice

A starts a business with a capital of Rs.15000. B joins the business after 6 months and C joins the business after 9 months. At the end of the year, their respective shares of profit were in ratio of 8: 4: 3. What is the sum of amount invested in the business by B and C together?

  1. Rs.37500

  2. Rs.24000

  3. Rs.28000

  4. Rs.22000

  5. None of these
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A Correct answer
Explanation

Profit ratio = Investment × Time. A invests Rs.15000 for 12 months = 180000. B invests for 6 months (6 to 12). C invests for 3 months (9 to 12). Given ratio 8:4:3, let A's share = 8x. Then 180000/8x = B's investment × 6/4x. Solving: B's investment = (4x × 180000)/(8x × 6) = Rs.15000. Similarly for C: C's investment = (3x × 180000)/(8x × 3) = Rs.22500. Total B + C = Rs.37500.

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