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 ?

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

$$\eqalign{ & {\text{We know,}} \cr & \frac{{10 \times x}}{{x \times y}} = \frac{5}{6} \cr & \Leftrightarrow \frac{x}{y} = \frac{3}{4} \cr} $$
Hence the required ratio of capital of A and B is = 3 : 4