Partnership Ques 25

Question

A and B started a business with investments of Rs. 2000 and Rs. 4000 respectively. Two months from the start of business, A left the business Eight months after A left, A re-joined with a certain investment. If B’s share out of the annual profit of Rs. 7290 was Rs. 5400, what was A’s new investment (when he re-joined)? (in Rs.)

(1) 6000

(2) 4400

(3) 5000

(4) 4000

(5) 6500

(IBPS RRBs Officer CWE (Prelim Exam) 11.08.2018)

Show Answer

Answer: (2)

Solution: (2)

Let the new investment of $A$ be Rs. $x$.

Profit ratio of Aand B $=(2000 \times 2)+(2000+x) \times 2$ : $4000 \times 12$

$=4000+4000+2 x: 48000$

$=8000+2x: 48000$

$=4000+x: 24000$

Sum of the ratios $=4000+x+24000$ $=28000+x$

$\therefore$ B’s share $=\frac{24000}{28000+x} \times 7290=5400$

$\Rightarrow 120 \times 270=28000+x$

$\Rightarrow x=$ Rs. $(32400-28000)$ $=$ Rs. 4400