Partnership Ques 12

Question

$A$ Started a company and $B$ and $C$ joined him later during the first year. The respective ratio of their investments was $4: 2: 3$ and the period for which they invested was in the ratio $2: 3: 1$. At the start of the second year A increased his investment by $50 \%$ while investments of $B$ and $C$ remained same and also for the same number of months as in the first year. If the total profit at the end of 2 years was $ \text{₹} $ 47,500 what was $C$’s share in the total profit?

(1) ₹ 5500

(2) ₹ 6500

(3) ₹ 7500

(4) ₹ 8500

(5) None of these

(IBPS Bank PO/MT CWE (Main) 18.11.2016)

Show Answer

Answer: (3)

Solution: (3)

Profit ratio of A , B and C for two years= $A : B : C=(4 \times 2 + 4 \times 1.5 \times 2):(2 \times 3 \times 2):(3 \times 1 \times 2)$

$=(8+12): 12 : 6$

$=20:12:6$

$=10:6:3$

$\therefore \quad C$’s share in the total profit $=\left(\frac{3}{10+6+3}\right) \times 47500$ $= \text{₹} 7500$