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In a barrel of 56 litres, the volume of milk is 62.5%. If the mixture requires to make 85.71% of milk, how much more amount of pure milk is needed to be added?

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In a barrel of 56 litres, the volume of milk is 62.5%. If the mixture requires to make 85.71% of milk, how much more amount of pure milk is needed to be added?
1). 91 litres
2). 88 litres
3). 90 litres
4). 85 litres


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Total volume of mixture = 56 litres

Amount of milk in mixture = 62.5% of total volume = (5/8) × 56 = 35 litres

Let x litres of pure milk is added in the mixture.

To change the proportion of mixture,

Required amount of milk = 85.71% of total volume = (6/7) × (56 + x)

⇒ 35 + x = (6/7) × (56 + x)

⇒ 35 + x = 48 + 6x/7

⇒ x/7 = 13

⇒ x = 91 litres

∴ Amount of milk required = 91 litres

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