A and B entered into a partnership investing ₹ 16000 and ₹ 12000 respectively. After 3 months, A withdrew ₹… · ABC26GN3255

Subject: General Aptitude · Chapter: Partnership

A and B entered into a partnership investing ₹ 16000 and ₹ 12000 respectively. After 3 months, A withdrew ₹ 5000 while B invested ₹ 5000 more. After 3 more months, C joins the business with a capital of ₹ 21000. The share of B exceeds that of C, out of a total profit of ₹ 26,400 after one year by
(a)₹ 2400
(b)₹ 3000
(c)₹ 3600
(d)₹ 4800
Answer
Answer (as printed): C
Explanation
$$\begin{aligned} & A: B: C=(16000 \times 3+11000 \times 9):(12000 \times 3+17000 \times 9) \\ & :(21000 \times 6) \\ & \quad=147: 189: 126=7: 9: 6 . \end{aligned} =₹\left(26400 \times \frac{9}{22}-26400 \times \frac{6}{22}\right)=₹ 3600 .$$

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

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