In a mixture, there are 200 litres of milk and 40 litres of water. ___ litres of mixture is drawn and ___ litres of pure water is added. No…

200 litres of milk and 40 litres of water that means total 240 litre mixture is already there.

Checking with the options:

Option A:

When 48 litres of mixture is drawn (I.e. 48/240 = 20% of the mixture)

Quantity of Milk = 200 × 0.8 = 160 L

Quantity of Water = 40 × 0.8 = 32 L

64 litres of pure water is added:

Quantity of Milk = 160 L

Quantity of Water = 32 + 64 = 96 L

Difference of Milk and Water quantities = 160 – 96 = 64 litres

It satisfies the blanks.

Option B:

When 36 litres of mixture is drawn (I.e. 36/240 = 15% of the mixture)

Quantity of Milk = 200 × 0.85 = 170 L

Quantity of Water = 40 × 0.85 = 34 L

66 litres of pure water is added:

Quantity of Milk = 170 L

Quantity of Water = 34 + 66 = 100 L

Difference of Milk and Water quantities = 170 – 100 = 70 litres

It does not satisfy the blanks.

Option C:

When 54 litres of mixture is drawn (I.e. 54/240 = 22.5% of the mixture)

Quantity of Milk = 200 × 0.775 = 155 L

Quantity of Water = 40 × 0.775 = 31 L

60 litres of pure water is added:

Quantity of Milk = 155 L

Quantity of Water = 31 + 60 = 91 L

Difference of Milk and Water quantities = 155 – 91 = 64 litres

It satisfies the blanks.

Option D:

When 78 litres of mixture is drawn (I.e. 78/240 = 32.5% of the mixture)

Quantity of Milk = 200 × 0.675 = 135 L

Quantity of Water = 40 × 0.675 = 27 L

14 litres of pure water is added:

Quantity of Milk = 135 L

Quantity of Water = 27 + 14 = 41 L

Difference of Milk and Water quantities = 135 – 41 = 94 litres

It does not satisfy the blanks.

Hence, Option A and C satisfy the blanks.