At the beginning of a partnership business the capital of B was 3 2 times that of A after 8 months B...........

Quant (SSC) Partnership

At the beginning of a partnership business, the capital of B was 3/2 times that of A. after 8 months B withdrew 1/2 of his capital and after 10 months A withdrew 1/4th of his capital. At the end of the year. if the profit incurred is Rs. 53,000. Find the amount received by A.

30800

32000

30000

23000

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Explanation:

Initially, A's capital = Rs. x
B's capital = Rs 3x /2
Ratio of the equivalent capitals of A and B for 1 month
= (x * 10 + 3x/4 * 2) : (3x /2 * 8 + 3x /4 * 4)
=(10x + 3x/4 * 2) : (12x + 3x)
= 23:30
A's share = 23 /53 * 53000 = ? 23000