M and N entered into partnership with capitals in the ratio 4: 5. After 3 months, M withdrew of his capital and N withdrew 1/5 of his capital. At the end of 10 months, the gain was Rs. 760. What is Ms share in the profit?
310
320
330
350
Explanation:
Ratio of the initial capital of M and N = 4 : 5
Hence we can take the initial capitals of M and N as 4x and 5x respectively.
Ratio in which profit will be divided
=> (4x $\times$ 3) + (3/4) $\times$ (4x) $\times$ 7: (5x $\times$ 3) + (4/5) $\times$ (5x) $\times$ 7
=> 12+21: 15+28
=> 33: 43
Hence, Ms share = 760 $\times$ 33/76 = 330.