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Jar-A contained a mixture of milk and water in the respective ratio of 5 ∶ 1. The difference between quantities of milk and water in Jar-A was 32 litre. If 12 litres of mixture was taken out and 1.5 litres of water was added to Jar-A. What will be the new respective ratio between quantities of milk and water in Jar-A?

Jar-A contained a mixture of milk and water in the respective ratio of 5 ∶ 1. The difference between quantities of milk and water in Jar-A was 32 litre. If 12 litres of mixture was taken out and 1.5 litres of water was added to Jar-A. What will be the new respective ratio between quantities of milk and water in Jar-A? Correct Answer 4 ∶ 1

GIVEN :

The ratio of milk and water in Jar - A = 5 ∶ 1

The difference between the quantity of milk and water in Jar - A = 32

CONCEPT :

Mixture and Ratio

ASSUMPTION :

Let the quantity of Milk and water in Jar - A = 5x : 1x

CALCULATION :

Milk : water = 5 ∶ 1

⇒ 5x - x = 32

⇒ 4x = 32

⇒ x = 8

The quantity of milk = 5x = 5 × 8 = 40

The quantity of water = 1x = 8

Total Quantity = 40 + 8 = 48 liters

Now,

In the new mixture

New Quantity (before adding water) = 48 – 12 = 36 liters  

Quantity of milk and water = 30 : 6

If 12 liters of the mixture was taken out and 1.5 liters of water was added to Jar-A, we get 

Quantity of milk and water = 30 : (6 + 1.5) = 30 : 7.5

Hence, the new respective ratio = 4 ∶ 1

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