A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew $$\frac{1}{4}$$ of his capital and B withdrew $$\frac{1}{5}$$ 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: Option A
Solution(By Examveda Team)
$$A:B$$$$ = \left[ {4x \times 3 + \left( {4x - \frac{1}{4} \times 4x} \right) \times 7} \right]$$ $$:$$ $$\left[ {5x \times 3 + \left( {5x - \frac{1}{5} \times 5x} \right) \times 7} \right]$$
$$\eqalign{ & = \left( {12x + 21x} \right):\left( {15x + 28x} \right) \cr & = 33x:43x = 33:43 \cr & \therefore {\text{A's share}} = {\text{Rs}}{\text{.}}\left( {760 \times \frac{{33}}{{76}}} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\,330 \cr} $$
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Comments ( 1 )
Related Questions on Partnership
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. None of these
A. Rs. 40000
B. Rs. 50000
C. Rs. 60000
D. Rs. 70000
Thank you