Two vessels containing 35 litres and 47 litres quantity of solution, have milk and water in the ratio of 17:18 and 28:19 respectively. If the solutions are mixed with each other, then how many litres of water has to be added in the final solution to make the resulting solution in the ratio 1:1? 

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  1. 12
  2. 8
  3. 10
  4. 6

Answer (Detailed Solution Below)

Option 2 : 8
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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Detailed Solution

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Given:

1st vessel: Milk and water ratio in 37 liters is 17 : 18

2nd vessel: Milk and water ratio in 47 liters vessel is 28 : 19

Calculations:

Let's take Milk as M and water as W

Amount of Milk and water in 1st vessel = 17 liters: 18 liters

Amount of Milk and water in 2nd vessel =  28 liters: 19 liters

The total amount of Milk and water after mix = (17 + 28) liters:(18 + 19) liters

The total amount of Milk and water after mix = 45 liters: 37 liters

To make the Milk and water ratio 1 : 1 then we need to add 8 liters of water.

The total amount of  Milk and water at final = 45 liters: 45 liters = 1 : 1

∴ The correct answer is option 2.

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