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      Question

      Amit and Riya started a business by investing in the

      ratio 6:4 respectively. After 8 months, Karan joined the business, investing an amount equal to the average of AmitтАЩs and RiyaтАЩs investments. If the total profit at the end of 16 months was Rs. 3,64,000, how much profit did Riya receive?
      A Rs.1,25,320 Correct Answer Incorrect Answer
      B Rs.2,56,320 Correct Answer Incorrect Answer
      C Rs.1,16,480 Correct Answer Incorrect Answer
      D Rs.5,36,300 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the initial investment of Amit and Riya be Rs. тАШ6xтАЩ and Rs. тАШ4xтАЩ, respectively.

      So, the investment of Karan = (6x + 4x) ├╖ 2 = Rs. тАШ5xтАЩ

      Now, the profit share ratio of Amit, Riya, and Karan =

      (6x ├Ч 16) : (4x ├Ч 16) : (5x ├Ч 8) = 96 : 64 : 40

      Simplify тЖТ 12:8:5

      So, required profit for Riya = 364000 ├Ч (8/25) = Rs.1,16,480

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