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    Question

    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

    A Only I and II Correct Answer Incorrect Answer
    B Only II Correct Answer Incorrect Answer
    C Only II and III Correct Answer Incorrect Answer
    D Only I and III Correct Answer Incorrect Answer
    E Only III Correct Answer Incorrect Answer

    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.

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