Partnership Ques 27

Question

$A$ and $B$ entered into a partnership by investing some amounts. The investment of $A$ is twice of the investment of B. Another person $C$ joined them after 4 months. At the end of a year, the profit shares of $A$ and $C$ are equal. Find the profit share of $B$ is what per cent of the profit share of $C$ ?

(1) $50 \%$

(2) $33 \frac{1}{3} \%$

(3) $40 \%$

(4) $60 \%$

(5) $75 \%$

(IBPS RRBs Officer CWE (Prelim Exam) 18.08.2018)

Show Answer

Answer: (1)

Solution: (1)

B’s investment = Rs. $x$

$\therefore$ A’s investment $=$ Rs. $2 x$

Shares of $A$ and $C$ are equal.

If the investment of $C$ be Rs. $y$, then

$2 x \times 12=y \times 8$

$\Rightarrow y=\frac{2 x \times 12}{8}=$ Rs. $3 x$

$\therefore$ Profit ratio of A , B and C $=2 x \times 12: x \times 12: 3 x \times 8$ $=2: 1: 2$

$\therefore$ Required per cent $=\frac{1}{2} \times 100=50 \%$