Partnership Ques 30
Question
A starts a business with Rs.40,000 capital. After 2 months, B joined him with Rs. 60,000 capital. C joined with them after some more time with Rs. 1,20,000 capital. At the end of the year, out of a total profit of Rs. 3,75,000, $C$ gets Rs. $1,50,000$ as his share. After how many months, of $B$ joining the business did the partner $C$ join?
(1) 4 months
(2) 6 months
(3) 3 months
(4) 5 months
(5) 2 months
(IBPS Bank PO/MT CWE (Main Exam))
Show Answer
Answer: (1)
Solution: (1)
Let $C$ remain in the business for $x$ months
Profit ratio of A, B and C $=(40000 \times 12):(60000 \times 10)$ : $(120000 \times x)$
$=4: 5: x$
C’s share.
$\left(\frac{3,75,000 x}{9+x}\right)=1,50,000$
$\Rightarrow \left(\frac{375 x}{9+x}\right)=150$
$\Rightarrow 375 x=1350+150 x$
$\Rightarrow 225 x=1350$
$x=6$ months
$\therefore$ Required answer $=4$ months
BETA
