Three friends $A, B, C$ invest in business in the ratio $3 : 4 : 5$ for time $2 : 3 : 4$ months respectively…

Three friends $A, B, C$ invest in business in the ratio $3 : 4 : 5$ for time $2 : 3 : 4$ months respectively. Their profit shares are in the ratio:
  1. $6 : 12 : 20$
  2. $3 : 4 : 5$
  3. $2 : 3 : 4$
  4. $5 : 12 : 20$

Solution

Profit share $\propto$ (investment) $\times$ (time) $= 3\cdot 2 : 4\cdot 3 : 5\cdot 4 = 6 : 12 : 20$.

Asked in: IMO

Practice more DIRECT AND INVERSE PROPORTIONS questions on Aicharya