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

CAT 2020 Question Paper | CAT Verbal Ability Slot 1

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, how many litres of dye must be added to the remaining solution to bring the proportion back to 2 : 3?

Started 5 days ago by Shashank in

0 6

Answer : The answer is '8'

Explanatory Answer

Solution = 40 litres
Dye = 16 litres
Water = 24 litres
New amount of water in the solution will be 5*8 = 40 litres, i.e 16 litres of water has been added
Solution = 56 litres
We remove ¼ or 14 litres, which leaves 42 litres with dye = 12 litres and water = 30 litres
We need 8 litres of dye to get the proportion to 2:3