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…

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. $15,984$

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. $15,984$