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Question

Mathematics Question on Mixtures and Allegations

A mixture of 40 litres of milk and water contains 10% water. How much water should be added to this so that water may be 20% in the new mixture?

A

6.5 litres

B

5.5 litres

C

4 litres

D

5 litres

Answer

5 litres

Explanation

Solution

Mixture of 40 liters
Milk = 36
Water = 4
Let x amount of water be added, so
4+x=20100(40+x)4 + x = \frac{20}{100} (40 + x)
Solving for x, we get
x = 5 liters

Therefore, the correct option is (D): 5 liters