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      Question

      A and B start a business with investments of Rs 24,000

      and Rs 36,000 respectively. After 6 months, C joins them with an investment of Rs 30,000. They share the profit at the end of the year in proportion to the product of capital and time. If the total annual profit is Rs 42,000, what is B’s share in the profit?
      A Rs.29,565 Correct Answer Incorrect Answer
      B Rs.25,100 Correct Answer Incorrect Answer
      C Rs.20,160 Correct Answer Incorrect Answer
      D Rs.10,060 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Capitals × time (in months): A: 24,000 for 12 months → 24,000 × 12 = 2,88,000 B: 36,000 for 12 months → 36,000 × 12 = 4,32,000 C: 30,000 for 6 months → 30,000 × 6 = 1,80,000 Ratio A : B : C = 2,88,000 : 4,32,000 : 1,80,000 Divide by 6,000: A : B : C = 48 : 72 : 30 Divide by 6: A : B : C = 8 : 12 : 5 Total parts = 8 + 12 + 5 = 25 Each part of profit = 42,000 / 25 = 1,680 B’s share = 12 × 1,680 = 20,160 rupees.

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