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      Question

      P, Q started a business along with R. The initial

      investment of P is 20% less than the initial investment of Q. The ratio between the initial investments of P and R is 8:5 respectively. After ‘t’ months of the start of business, R left it. If at the end of ‘3t’ months, a total profit of Rs. 47200 was obtained, then find out the value of ‘t’.
      A 6 Correct Answer Incorrect Answer
      B 8 Correct Answer Incorrect Answer
      C 9 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer
      E Cannot be determined Correct Answer Incorrect Answer

      Solution

      The ratio between the initial investments of P and R is 8:5 respectively.

      Let’s assume the initial investments of P and R is 8y and 5y respectively.

      The initial investment of P is 20% less than the initial investment of Q.

      8y = (100-20)% of initial investment of Q

      8y = 80% of initial investment of Q

      initial investment of Q = 10y

      After ‘t’ months of the start of business, R left it.

      Ratio among the investments  of P, Q and R with respect to the time = 8yxt+8yx2t : 10yxt+10yx2t : 5yxt

      = 8+16 : 10+20 : 5

      = 24 : 30 : 5

      Here we cannot get the value of ‘t’ from the given information. So the answer cannot be determined.

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