A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 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
Answers
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SolutionLet their initial capitals be 4x and 5x.
After 3 months A withdrew (1/4)*4x = x and B withdrew (1/5)*5x = x.
Therefore Ratio of capitals = (4x*3 + 3x*7 : 5x*3 + 4x*7)
= 33x : 43x = 33:43
A's share = Rs.(760 * 33/76) = Rs. 330
Option a 330
After 3 months A withdrew (1/4)*4x = x and B withdrew (1/5)*5x = x.
Therefore Ratio of capitals = (4x*3 + 3x*7 : 5x*3 + 4x*7)
= 33x : 43x = 33:43
A's share = Rs.(760 * 33/76) = Rs. 330
Option a 330
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