Partnership Ques 13

Question

$A$ and $B$ started a business by investing Rs. 18,000 and Rs. 24,000 respectively. At the end of 4 months from the start of the business, C joins with Rs. 15,000 . After 8 months, $B$ quits and $C$ invests Rs. 3000 more. At the end of 10 months $B$ rejoins with the same investment. If the profit at the end of year is Rs. 12,005 , what is $B$’s share of profit? (In Rs.)

(1) 5800

(2) 4700

(3) 4200

(4) 4900

(5) 5600

(Indian Bank PO (Pre.) Exam, 21.01.2017 (Ist Sitting))

Show Answer

Answer: (4)

Solution: (4)

Profit ratio of A, B and C $=18000 \times 12: 24000 \times 10:$ $15000 \times 4+18000 \times 4$

$=18 \times 12: 24 \times 10:(15 \times 4+$ $18 \times 4$ )

$=216: 240: 132$ $=18: 20: 11$

Sum of the ratios $=18+20+11=49$

$\therefore$ $B$’s share $=$ Rs. $\left(\frac{20}{49} \times 12005\right)=$ Rs. 4900