Question

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`of his capital. At the end of the year, if the profit incurred is ₹53000 find the amount received by A.

Options

• ₹30000

• ₹23000

• ₹30800

• ₹32000

Answer 1

₹23000
Explanation:
Let A invested ₹ x at the beginning of the partnership business, then Ratio of the profit A and B

= `(x xx10+(3x)/4xx2):((3x)/2xx8+(3x)/4xx4)`

= `23/2x:15x=23:30`

∴ Amount received by A in the profit

= `23/53xx53000`= ₹ 23000