Partnership Ques 10
Question
$A$ starts a small business with Rs. 3600. At the end of few months from the start of business, $B$ joined the business with Rs. 4000. If the annual profit between $A$ and $B$ was divided between them in the respective ratio of $6: 5$, then $B$ joined the business after how many months from the start of the business?
(1) Four
(2) Two
(3) Six
(4) Five
(5) Three
(IBPS RRBs Officer CWE (Pre.))
Show Answer
Answer: (5)
Solution: (5)
Let $B$ join $A$ in the partnership after $x$ months.
Profit ratio of A and B $=3600 \times 12: 4000 \times(12-x)$
$=54: 5(12-x)$
$\therefore \frac{54}{60-5 x}=\frac{6}{5}$
$\Rightarrow 360-30 x=54 \times 5=270$
$\Rightarrow 30 x=360-270=90$
$\Rightarrow x=\frac{90}{30}=3$ months