A mixture of milk and honey contains 50% milk. If ______ litres of another mixture of milk and honey with ____% milk is added to 100 litres of the first mixture, the resulting mixture contains 40% milk. Which of the following options correctly fills the blanks in the same order to make the statement true?
I. 150, 33(1/3)
II. 150, 25
III. 150, 20

Solution

ATQ,

In the first mixture, Quantity of milk = 0.50 × 100 = 50 litres Quantity of honey = 100 – 50 = 50 litres For I: Quantity of milk in second mixture = 150 × 33(1/3)/100 = 50 litres Quantity of honey in second mixture = 150 – 50 = 100 litres In the resultant mixture, Quantity of milk = 50 + 50 = 100 litres Quantity of honey = 50 + 100 = 150 litres Percentage of milk = (100/250) × 100 = 40% So, ‘I’ can be true. For II: Quantity of milk in second mixture = 150 × 25/100 = 37.5 litres Quantity of honey in second mixture = 150 – 37.5 = 112.5 litres In the resultant mixture, Quantity of milk = 50 + 37.5 = 87.5 litres Quantity of honey = 50 + 112.5 = 162.5 litres Percentage of milk = (87.5/250) × 100 = 35% So, ‘II’ cannot be true. For III: Quantity of milk in second mixture = 150 × 20/100 = 30 litres Quantity of honey in second mixture = 150 – 30 = 120 litres In the resultant mixture, Quantity of milk = 50 + 30 = 80 litres Quantity of honey = 50 + 120 = 170 litres Percentage of milk = (80/250) × 100 = 32% So, ‘III’ cannot be true.