A and B enter into partnership. At the end of 9 months B withdraws but A's capitals is used for one month more. If they receive profit in the ratio of 5 : 6, then the ratio of their capital is ?

Answer: Option A

Let A's capital = Rs. x
Let B's capital = Rs. y
Now, according to the question,

	A	B
Capital →	x	y
Time (in month) →	(9 + 1) = 10	9
Ratio of profit →	5	6

$$\begin{array}{rl}& \text{We know,}\\ & \frac{10\times x}{x\times y}=\frac{5}{6}\\ & \iff \frac{x}{y}=\frac{3}{4}\end{array}$$
Hence the required ratio of capital of A and B is = 3 : 4