Question

In a joint stock business A's capital is 1½ times B's capital. After 8 months B withdraws ½ of his capital and after 2 months more A withdraws ¼ of his capital. If the total profit at the end of the year be Rs 6360 then find the share of profit of A and B.​

Answer 1

Solution :-

→ A's capital = (3/2) * B's capital

→ A's capital / B's capital = 3/2

Let A's capital is Rs.300x and B's capital is Rs.200x .

so,

→ Profit A : Profit B = (300x * 10 + 225x * 2) : (200x * 8 + 100x * 4) = (3000x + 550x) : (1600x + 400x) = 3550x : 2000x = 355x : 200x = 71 : 40 .

then,

→ Profit of A = (71/111) * 6360 = Rs.4068.11

and,

→ Profit of A = (40/111) * 6360 = Rs.2291.89

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