Partnership Ques 20
Question
A and B started a business with Rs. 72000 and Rs. 60000 respectively. After 4 months, $C$ replaced B with $x \%$ of B’s capital. After 1 year C’s share of profit out of the total profit of Rs. 48000 is Rs. 11200 . Find the value of $x$.
(1) 63
(2) 70
(3) 72
(4) 68
(5) 71
(IBPS RRBs Officer CWE (Main Exam) 05.11.2017)
Show Answer
Answer: (2)
Solution: (2)
Ratio of the profit’s of A, B and C $= 72000 \times 12: 60000 \times 4: 600 x$ $\times 8$
$=720 \times 12: 600 \times 4: 48 x$ $=180: 50: x$
Sum of the ratios $=180+50+x=230+x$
$\therefore$ C’s share $=\frac{x}{230+x} \times 48000$
$\Rightarrow \frac{x}{230+x} \times 48000=11200$
$\Rightarrow \frac{30 x}{230+x}=7$
$\Rightarrow 30 x=1610+7 x$
$\Rightarrow 30 x-7 x=1610$
$\Rightarrow 23 x=1610$
$\Rightarrow x=\frac{1610}{23}=70 \%$
BETA
