Partnership Ques 16
Question
A starts a business with an initial investment of Rs. 1200. ‘x months after the start of business, B joined A with an initial investment of Rs. 1500. If total profit was Rs. 1950 at the end of the year and B’s share of profit was Rs. 750 , find the value of $x$.
(1) 5 months
(2) 6 months
(3) 8 months
(4) 9 months
(5) 7 months
(IBPS RRBs Officers CWE (Prelim Exam) 09.09.2017) IInd Sitting)
Show Answer
Answer: (2)
Solution: (2)
Profit ratio of A and B $=12 \times 1200:(12-x) \times 1500$
$=48:(12-x) \times 5$
$=48:(60-5 x)$
According to the question,
$\frac{60-5 x}{48+60-5 x}=\frac{750}{1950}=\frac{5}{13}$
$\Rightarrow \frac{12-x}{108-5 x}=\frac{1}{13}$
$\Rightarrow 108-5 x=156-13 x$
$\Rightarrow 13 x-5 x=156-108$
$\Rightarrow 8 x=48$
$\Rightarrow x=\frac{48}{8}=6$ months
BETA
