Question

A and B entered into partnership with capitals in the ratio 4 : 5 After 3 months A withdraw $\frac{1}{4}$ of his capital and B withdraw $\frac{1}{5}$ of his capital. The gain at the end of 10 months was Rs 760. A's share in this profit is

• A. Rs 330
• B. Rs 360
• C. Rs 380
• D. Rs 430

Answer 1

Answer: (A)

Rs 330

Ratio of the initial capital of A and B = 4 : 5
Hence the initial capitals of A and B is 4x and 5x
Ratio in which profit will be divided
$(4x\times 3)+(\frac{3}{4}\times 4x\times 7):(5x\times 3)+(\frac{4}{5}\times 5x\times 7)$
$33:43$
A's share=$\frac{33}{76}\times 760=Rs330$