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A and B entered into partnership with capitals in the ratio of 4:5. After 3 months A withdrew a/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs 760, what are their shares in the profit?

A.	Rs 930, Rs 530	B.	Rs 130, Rs 230
C.	Rs 330, Rs 430	D.	Rs 330, Rs 300

Answer and Explanation

Answer:Rs 330, Rs 430

Explanation:
Let A invest Rs 4 and B invest Rs 5
A withdraws (1/4)*4 = Re. 1
A withdraws (1/5)*5 = Re. 1
Calculation the equivalent capital for 1 month:
A’s capital = Rs (4 * 3 + 3*7) = Rs 33

A’s capital = Rs (4 * 3 + 3*7) = Rs 33
B’s capital = Rs (5 * 3 + 4*7) = Rs 43
Ratio of capitals = 33:43
∴A’s share = Rs (760*33)/76 = Rs 330
B’s share = Rs (760*43)/76 = Rs 430

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