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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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