Three partners shared the profit in a business in the ratio 8 : 7 : 5, They invested their capitals for 7 months, 8 months and 14 months, respectively. What was the ratio of their capitals?

Solution (By Examveda Team)

\[\begin{array}{*{20}{c}} {\text{A}}&:&{\text{B}}&:&{\text{C}}&{} \\ 8&:&7&:&5&{ \leftarrow {\text{Profit}}} \\ 7&:&8&:&{14}&{ \leftarrow {\text{Time}}} \end{array}\]
$$\eqalign{ & {\text{Capital}} = \frac{{{\text{Profit}}}}{{{\text{Time}}}} \cr & {\text{Capital}} = \frac{8}{7}:\frac{7}{8}:\frac{5}{{14}} = 64:49:20 \cr} $$