CAT 2020 Slot 1 QA Question 3: A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, ho

Question

A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, ho

Accepted Answer

Initially, the solution has dye and water in the ratio 2 : 3 and the total volume is 40 litres.

Dye = $\dfrac{2}{5} 	imes 40 = 16$ litres
Water = $\dfrac{3}{5} 	imes 40 = 24$ litres

After adding water, the dye : water ratio becomes 2 : 5. The dye is still 16 litres.

Required water = $\dfrac{5}{

A solution, of volume 40 litres, has dye and water in the proportion 2 : 3. Water is added to the solution to change this proportion to 2 : 5. If one-fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3?