24) Q) A & B ARE NEARS IS BUSINESS. THEY INVEST IN THE RATIO OF 4:9 AT THE END OF 6 MONTH A WITHDRAWS; IF THEY RECEIVE PROFITS

Question

24) Q) A & B ARE NEARS IS BUSINESS. THEY INVEST
IN THE RATIO OF 4:9 AT THE END OF 6 MONTH A
WITHDRAWS; IF THEY RECEIVE PROFITS IN RATIO
OF 4:9 THAN FIND B INVESTMENT WAS USED?​

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Eden 2 months 2021-08-11T11:03:28+00:00 1 Answer 0 views 0

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    2021-08-11T11:04:59+00:00

    Question : A and B are partners in a business. They invest in the ratio of 4 : 9. At the end of 6 months A withdraws his capital. If they receive profits in the ratio of 4 : 9, Find how long B’s investment was used ?

    Concept used :

    • Profit is distributed between partners in the ratio of their (Investment * Time) .

    Solution :

    Let us assume that, B’s investment was used for T months.

    Than,

    we can say that,

    → (investment by A * Time period) : (investment by B * Time period) = (Profit of A) : (Profit of B).

    Given that,

    • investment by A : investment by B = 4 : 9
    • Time by A = 6 months.
    • Tine by B = T months .
    • Profit of A : Profit of B = 4 : 9

    Putting values now, we get :-

    → (4 * 6) : (9 * T) = 4 : 9

    → 24 : 9T = 4 : 9

    → (24/9T) = (4/9)

    → (24/T) = 4

    → T = (24/4)

    → T = 6 Months. (Ans.)

    Hence, B’s investment was also used for 6 Months.

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