A and B entered into partnership with capitals in the ratio 4: 5. After 3 months, A withdrew ¼ of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760.Find A's share in this profit ?
Anybody plz help me.
after they withdrew capital, the ratio of ownerhip was 3:4
A's share is then 760*3/7 Rs
To find A's share in the profit, we need to determine the amount of capital contributed by A and B, as well as their total capital at the end of 3 months.
Let's assume A's capital is 4x and B's capital is 5x, where x is a constant.
After 3 months, A withdraws 1/4 of his capital:
A's capital after 3 months = 4x - (1/4)*(4x) = 4x - x = 3x
Similarly, B withdraws 1/5 of his capital:
B's capital after 3 months = 5x - (1/5)*(5x) = 5x - x = 4x
The total capital at the end of 3 months = A's capital after 3 months + B's capital after 3 months = 3x + 4x = 7x
Given that the duration of the partnership is 10 months, the ratio of profit sharing will be based on the ratio of their capitals at the end of 3 months for the remaining 7 months.
A's share in the profit = (A's capital after 3 months) / (Total capital after 3 months) * Total profit
= (3x / 7x) * Rs. 760
= Rs. (3/7) * 760
= Rs. 325.71 (approx.)
Therefore, A's share in the profit is approximately Rs. 325.71.