For a business, A invests Rs. 15,000. After four months, B joins and invests Rs. 24,000 and A invests Rs. 7,000 more. After another four months, C joins and invests Rs. 52,000 and B invests Rs. 10,000 more. After one year, the profit earned was Rs. 1,01,400. What is the B’s and C’s share of profit?

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  1. B = Rs.35, 400 and C = Rs. 31,200
  2. B = Rs. 34,800 and C = Rs. 31,200
  3. B = Rs. 31,200 and C = Rs. 34,800
  4. B = Rs. 35,400 and C = Rs. 34,800

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Option 2 : B = Rs. 34,800 and C = Rs. 31,200

Ratio of their share in profit = Ratio of their investments

⇒ 15000 × 4 + 22000 × 8 ∶ 24000 × 4 + 34000 × 4 ∶ 52000 × 4

Thus, ratio of their investments = 236000 ∶ 232000 ∶ 208000 = 236 ∶ 232 ∶ 208 = 59 ∶ 58 ∶ 52

Profit earned after a year = Rs. 1, 01, 400                                                                    

B’s share = (58/169) × 101400 = Rs. 34800

C’s share = (52/169) × 101400 = Rs. 31200

Thus, B’s share is Rs. 34, 800 and C’s share is Rs. 31,200.

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