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      Question

      'A' and 'C' started a business by investing Rs. 11,000

      and Rs. 13,000, respectively. Seven months later, they invited 'B' to join the business who invested Rs. 'R'. If at the end of the year, the profits were divided among 'A', 'C', and 'B' in a ratio of 5:5:2, respectively, then find the value of 'R' in terms of 'P' given that 'P' = 1,500.
      A 16,500 Correct Answer Incorrect Answer
      B 12,550 Correct Answer Incorrect Answer
      C 10,560 Correct Answer Incorrect Answer
      D 15,000 Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Given:

      A invests ₹11,000 for 12 months = 11,000×12 = 132,000 C invests ₹13,000 for 12 months = 13,000×12 = 156,000 B invests Rs.'R' for 5 months = 5R Profit ratio is A : C : B = 5 : 5 : 2 Now, by using ratio of profit to set equation

      132,000 : 156,000 : 5R = 5 : 5 : 2 Make A and C equal to match 5:5 = adjust C to 132,000 Now:

      132,000:132,000:5R = 5:5:2 = 5R/132,000 = 2/5 5R = 2/5 × 132000 = 52,800 R = 10,560 Therefore, B should invest ₹10,560 to get a 2-part

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