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
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Answers ( )
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 :–
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,
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.