Question 18

A, B and C together start a business. The ratio of investment of A and B is 7 : 8 and that of B and C is 4 : 9. B gets a share of Rs. 7104 in annual profit. What is C’s share in the profit ?

Solution

A : B = 7 : 8

B : C = 4 : 9 = 8 : 18

=> A : B : C = 7 : 8 : 18

Let total profit be $$P$$

=> B's share = $$\frac{8}{33} \times P = 7104$$

=> $$P = \frac{7104 \times 33}{8}$$

Now, C's share = $$\frac{18}{33} * P$$

= $$\frac{18}{33} \times \frac{7104 * 33}{8}$$

= $$18 * 888 = $$Rs. $$15,984$$

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