Question 68

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

Solution

Amount invested by A,B and C = 18,000 , 24,000 and 15,000 respectively

Acc. to ques, ratio of profit of A : B : C

= $$(18,000 \times 12)$$ : $$(24,000 \times 8) + (24,000 \times 2)$$ : $$(15,000 \times 4) + (18,000 \times 4)$$

= $$(18 \times 12) : (24 \times 10) : (33 \times 4)$$

= $$18 : 20 : 11$$

Total profit = Rs. 12,005

$$\therefore$$ B's share of profit = $$\frac{20}{(18 + 20 + 11)} \times 12,005$$

= $$20 \times 245 = Rs. 4,900$$

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