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      Question

      A and B started a business in partnership by investing

      the capital of Rs. 35000 and Rs. 40000 respectively. After six months, C also joined them with some capital. If at the end of the year, the profit share of C is Rs. 8000 out of the total profit of Rs. 23000, then find the amount invested by C.
      A Rs. 40000 Correct Answer Incorrect Answer
      B Rs. 64000 Correct Answer Incorrect Answer
      C Rs. 80000 Correct Answer Incorrect Answer
      D Rs. 96000 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the investment of C be Rs. a. Ratio of profits of A, B and C = 35000 ร— 12 : 40000 ร— 12 : a ร— 6 => 70000 : 80000 : a According to question, โ‡’ ย a/(70000 + 80000 + a) = 8/23 โ‡’ ย 23a = 8a + 150000 ร— 8 โ‡’ ย 15a = 150000 ร— 8 โ‡’ ย a = Rs. 80000

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