A, B and C are three partners in a business. The profit share of A is $$\frac{3}{{16}}$$ of the total profit and B’s share is $$\frac{1}{{4}}$$ of the total profit. If C receives Rs. 243, then the amount received by B will be ?
a) Rs. 90
b) Rs. 96
c) Rs. 108
d) Rs. 120

Answer: c
Explanation:
$$\eqalign{ & {\text{Let total profit}} = {\text{16 units }} \cr & {\text{Profit share of A}} = \frac{3}{{16}} \times 16{\text{ units}} \cr & = 3{\text{ units}} \cr & {\text{profit share of B }} {\text{ = }}\frac{1}{4} \times 16 = 4{\text{ units}} \cr & {\text{then profit share of C}} \cr & = \left[ {16 – \left( {4 + 3} \right)} \right] = 9{\text{ units}} \cr & {\text{But profit of C}} = {\text{Rs}}{\text{. 243 (given)}} \cr & {\text{9 units}} = {\text{Rs}}{\text{. 243}} \cr & {\text{1 unit}} = {\text{Rs}}{\text{. 27}} \cr & {\text{Profit share of B}} \cr & = 4{\text{ units}} \cr & = 27 \times 4 \cr & = {\text{Rs}}{\text{. 108}} \cr} $$