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?​

Answer 1

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.