Multiple choice

P starts a business with an initial investment of Rs.9000. After 4 months, Q enters into the partnership with an investment of Rs.12000. Again after two months R enters with an investment of Rs.15000. If R receives Rs.922.5 in the profit at the end of the year, what is the total annual profit?

  1. Rs. 3013.5

  2. Rs. 3163.5

  3. Rs. 3263.5

  4. Rs. 3040

  5. None of these
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A Correct answer
Explanation

Calculate equivalent capital by multiplying investment × months. P: 9000 × 12 = 108000, Q: 12000 × 8 = 96000, R: 15000 × 6 = 90000. Ratio = 108:96:90 = 18:16:15 (sum = 49). R's share = 15/49 of total profit = Rs. 922.5. Total profit = 922.5 × 49/15 = Rs. 3013.5.

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