Rita invested 25% more than sunil. Sunil invested 30% less than Abhinav, who invested Rs. 6000. What is the ratio of the amount that Rita invested to the total amount by all of them together ?

Solution(By Examveda Team)

$$\eqalign{ & {\text{Abhinav's investment}} \cr & = {\text{Rs}}{\text{. 6000}} \cr & {\text{Sunil's investment}} \cr & = \left( {100 - 30} \right)\% {\text{ of Rs}}{\text{. 6000}} \cr & = {\text{70}}\% {\text{ of Rs}}{\text{. 6000}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{70}}{{100}} \times 6000} \right) \cr & = {\text{Rs}}.4200 \cr & {\text{Rita's investment}} \cr & = \left( {{\text{100 + 25}}} \right)\% {\text{ of Rs}}{\text{. 4200}} \cr & = {\text{125}}\% {\text{ of Rs}}{\text{. }}42{\text{00}} \cr & = {\text{Rs}}{\text{.}}\left( {\frac{{125}}{{100}} \times 4200} \right) \cr & = {\text{Rs}}{\text{. }}5250 \cr & {\text{Total amount invested}} \cr & = {\text{Rs}}{\text{.}}\left( {{\text{6000}} + 42{\text{00}} + 5250} \right) \cr & = {\text{Rs}}{\text{. }}15450. \cr & \therefore {\text{Required Ratio}} \cr & = 5250:15450 \cr & = 35:103 \cr} $$