 # A solution, of volume 40 litres, has dye and water - Quantitative Aptitude | CAT Ratio and Proportion |

## CAT 2020 – Slot 1 - CAT Ratio and Proportion- Question 26 - A solution, of volume 40 litres, has dye and water

Question 26: 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?

40 litres is split in ratio 2:3

So dye = 16 l and water = 24 l

Now proportion is 2:5

2 : 5

Now, 16 l of dye : 40 l of water

16 l of water is added

1/4th is removed from the proportion

12 l of dye : 30 l of water

Now how many dye has to be added to make 2 : 3

2 : 3

12 l of dye : 30 l of water

Multiplication factor is 10 (3 × 10 = 30)

2 × 10 = 20 l of dye in total,

So 8 l of dye has to be added

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