Partnership Ques 7
Question
A, B and C started a business with investments of Rs. 1500, Rs. 550 and Rs. 2400 respectively. After 8 months from the start of the business, $A$ and $C$ left and $B$ invested an additional amount of Rs. 450. If difference between the share in annual profit received by $B$ and the total annual profit was Rs. 13,000 , what was the total annual profit received?
(1) Rs. 16,500
(2) Rs. 18,150
(3) Rs. 13,200
(4) Rs. 19,800
(5) Rs. 16,750
(IBPS Bank PO/MT CWE (Pre.), 16.10.2016 (First Sitting))
Show Answer
Answer: (1)
Solution: (1)
Profit ratio of A, B and C $=1500 \times 8:(550 \times 8+1000 \times$ 4) : $2400 \times 8$
$=12000:(4400+4000): 19200$
$=120: 84: 192$
$=30: 21: 48$
Sum of the ratios $=30+21+48=99$
Let the total annual profit be 99 unit.
According to the question,
Total profit share - B’s share = Rs.13000
$\Rightarrow$ (99-21) unit =Rs.13000
$\Rightarrow$ 78 unit = Rs.13000
Total profit = 99 unit = $\frac{13000 \times 99}{78}$ $=$ Rs. 16500
BETA
