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In a mixture, there is 63 litres of water and 77 litres of milk. Some quantity of mixture is taken out. After that 16 litres of water and 4 litres of milk are added in to the mixture, so that quantity of water and milk are same in the mixture. Find the total quantity of mixture when some amount of mixture taken out.

In a mixture, there is 63 litres of water and 77 litres of milk. Some quantity of mixture is taken out. After that 16 litres of water and 4 litres of milk are added in to the mixture, so that quantity of water and milk are same in the mixture. Find the total quantity of mixture when some amount of mixture taken out. Correct Answer 120 litres

Given:

⇒ Total quantity of mixture = 63 + 77 = 140 litres

Let quantity of mixture taken out be a litres.

⇒ Percentage Quantity of water in mixture = 63/140 × 100 = 45%

⇒ Percentage quantity of alcohol in mixture = 77/140 × 100 = 55%

⇒ Quantity of water in mixture after addition =  63 - a × 45/100 + 16

⇒ Quantity of milk in mixture after addition = 77 - a × 55/100 + 4

Then,

⇒ 63 - a × 45/100 + 16 = 77 - a × 55/100 + 4

⇒ a = 20

∴ Total quantity of mixture after 20 litres of mixture taken out = 140 - 20 = 120 litres

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