A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew of his capital. The gain at the end of 10 months was Rs. 760. A’s share in this profit is:

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Question:
A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew of his capital and B withdrew 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

Explanation:

A : B = 4x x 3 + 4x – 1 x 4x x 7 : 5x x 3 + 5x – 1 x 5x x 7
4 5

   = (12x + 21x) : (15x + 28x)

   = 33x :43x

   = 33 : 43.

A’s share = Rs. 760 x 33 = Rs. 330.
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