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 ₹ 760. A's share in this profit is :

ABC26GN3270 · Partnership

Subject: General Aptitude · Chapter: Partnership · Exam: · Marks: · Difficulty:

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 ₹ 760. A's share in this profit is :

(a)₹ 330

(b)₹ 360

(c)₹ 380

(d)₹ 430

Answer

Answer (as printed): A

Explanation

A : B $$\begin{aligned} & =\left[4 x \times 3+\left(4 x-\frac{1}{4} \times 4 x\right) \times 7\right]:\left[5 x \times 3+\left(5 x-\frac{1}{5} \times 5 x\right) \times 7\right] \\ & =(12 x+21 x):(15 x+28 x)=33 x: 43 x=33: 43 . \\ & \therefore \quad \text { A's share }=₹\left(760 \times \frac{33}{76}\right)=₹ 330 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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