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The ratio of milk and water in a mixture is 7 ∶ 4, If 5 liters of water are added to the mixture the ratio becomes 5 ∶ 3. What is the quantity of milk in the initial mixture?
1. 100 liters
2. 125 liters
3. 150 liters
4. 175 liters

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Correct Answer - Option 4 : 175 liters

Given:

​The ratio of milk and water is 7 ∶ 4

After adding 5 liters of water, ​the ratio of milk and water is 5 ∶ 3

Calculation:

Let the quantity of milk and water be 7x and 4x 

According to the question, we have,

⇒ 7x/(4x + 5) = 5/3

⇒ 21x = 20x + 25

⇒ 21x - 20x = 25

⇒ x = 25

Now, the initial quantity of milk is

⇒ 7x = 7 × 25

⇒ 175 liters

∴ The quantity of milk in the initial mixture is 175 liters.

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