Partnership Ques 3

Question

$A$ and $B$ started a business with the investments in the ratio of $5: 3$ respectively. After 6 months from the start of the business, $C$ joined them and the respective ratio between the investments of $B$ and $C$ was $2: 3$. If the annual profit earned by them was Rs. 12,300 , what was the difference between $B’s$ share and $C’s$ share in the profit?

(1) Rs. 900

(2) Rs. 800

(3) Rs. 600

(4) Rs. 400

(5) Rs. 700

(IBPS Bank PO/MT CWE-V (Preliminary) 04.10.2015)

Show Answer

Answer: (1)

Solution: (1)

$A: B=5: 3=10: 6$

$B: C=2: 3=6: 9$

$\therefore A : B : C =10: 6: 9$

Profit ratio of A, B and C $=10 \times 12: 6 \times 12: 9 \times 6$

$=20: 12: 9$

Sum of ratios $=20+12+9=41$

$\therefore$ Difference between the shares of $B$ and $C$ $=\left(\frac{12-9}{41}\right) \times 12300$ $=$ Rs. 900