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