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