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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 / 4) th of his capital. At the end of the year, if the profit incurred is $ 53,000, find the amount received by A.
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- $ 30,800
- $ 32,000
- $ 30,000
- $ 23,000
Correct Option: D
Let Initially, A’s capital = $ x
B’s capital = $ | 2 |
Ratio of the equivalent capitals of A and B for 1 month
Ratio of the equivalent capitals of A and B for 1 month = | 10x + | 3x | : (12x + 3x) = 23 : 30 | |||
2 |
A’ share = | × 53000 = $ 23000 | 53 |