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. A's share in this profit is:
A's share in this profit is: 330
SIR,
HOW WILL U GET THE ANSWER ?
If I'm being honest with you I'm just a random person on the internet google the question people ask and finding the answer and when I do that sometimes they just show the answer and not how they got it so can't explain how so sorry
To find A's share in this profit, we need to calculate their respective capitals and the ratio in which they will share the profit.
Let's assume that A's capital is 4x and B's capital is 5x (according to the given ratio of 4:5).
After 3 months, A withdrew ¼ of his capital, which means he withdrew ¼ * 4x = x.
After the withdrawal, A's capital is now 4x - x = 3x.
Similarly, B withdrew 1/5 of his capital, which means he withdrew 1/5 * 5x = x.
After the withdrawal, B's capital is now 5x - x = 4x.
Since the capital is directly proportional to the time, we can assume that A's capital was invested for 10 months and B's capital was invested for 10 months.
Considering the ratio of their capitals and the time period, A's share in the profit will then be (3x * 10) / (3x * 10 + 4x * 10) * 760.
Simplifying this expression, we get A's share in the profit = (3x * 10) / (7x * 10) * 760 = 300 / 7 * 760.
Calculating this expression, A's share in the profit is approximately Rs. 3285.71.