Profits of a business are divided among three partners A, B and C in such a way that 4 times the amount received by A is Equal to 6 times the amount received by B and 11 times the amount received by C. The ratio in which the three received the amount is.

Solution (By Examveda Team)

$$\eqalign{ & = 4{\text{A}} = 6{\text{B}} = 11{\text{C}} = k(say) \cr & {\text{Then,}} \cr & {\text{A}} = \frac{k}{4}, \cr & {\text{B}} = \frac{k}{6}, \cr & {\text{C}} = \frac{k}{{11}} \cr & \Rightarrow {\text{A}}:{\text{B}}:{\text{C}} = \frac{1}{4}:\frac{1}{6}:\frac{1}{{11}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 33:22:12 \cr} $$