A mixture initially has 40 liters of petrol and an unknown quantity of diesel. When 25% of the mixture is extracted into container P and 10 liters of petrol are added to container P, the ratio of petrol to diesel in container P becomes a certain value.

Which of the following options provides the values to fill the blanks in the same order to render the statement true?

I. 60, 4:3

II. 24, 11:4

III. 48, 5:3

Solution

ATQ, For I: Quantity of petrol 25% of the mixture = 0.25 × 40 = 10 litres Quantity of diesel in 25% of the mixture = 0.25 × 60 = 15 litres Ratio of petrol to diesel after addition of 10 litres of petrol = (10 + 10):15 = 4:3 Therefore, I is true. For II: Quantity of petrol in 25% of the mixture = 0.25 × 40 = 10 litres Quantity of diesel in 25% of the mixture = 0.25 × 24 = 6 litres Ratio of petrol to diesel after addition of 10 litres of petrol = (10 + 10):6 = 10:3 Therefore, II is false. For III: Quantity of petrol in 25% of the mixture = 0.25 × 40 = 10 litres Quantity of diesel in 25% of the mixture = 0.25 × 48 = 12 litres Ratio of petrol to diesel after addition of 10 litres of petrol = (10 + 10):12 = 5:3 Therefore, III is true.