Partnership Ques 5
Question
A and B started a business with investments of Rs. 3500 and Rs. 2500 respectively. After 4 months C joined with Rs. 6000. If the difference between C’s share and B’s share in the annual profit was Rs. 1977 , what was the total annual profit?
(1) Rs. 15,620
(2) Rs. 16,240
(3) Rs. 14,690
(4) Rs. 12,770
(5) Rs. 13,180
(IBPS Specialist Officer (IT) CWE 14.02.2016)
Show Answer
Answer: (5)
Solution: (5)
Profit ratio of A, B and C $=(3500 \times 12):(2500 \times 12):$ $(6000 \times 8)$
$=35 \times 12: 25 \times 12: 60 \times 8$
$=7: 5: 8$
Sum of the ratios $=7$ $+5+8=20$
According to the question,
If the total annual profit be 20 unit,
then difference of shares of $C$ and B = Rs. 1977
$\Rightarrow (8-5) unit =1977$
$\Rightarrow 3$ unit =1977
$\Rightarrow$ Total profit = 20 unit $= \frac{1977 \times 20}{3}=$ Rs. 13180