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    Question

    The ratio of the number of apples to that of oranges in a

    basket is 3:5. If 15 more fruits of each type are added, the ratio becomes 6:9. Find the number of oranges in the basket originally.
    A 30 Correct Answer Incorrect Answer
    B 95 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 68 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original number of apples and oranges in the basket be ‘3x’ and ‘5x’, respectively.

    ATQ;

    (3x + 15) / (5x + 15) = (6/9)

    Or, 9 × (3x + 15) = 6 × (5x + 15)

    Or, 27x + 135 = 30x + 90

    Or, 3x = 45

    Or, x = 15

    So, the number of oranges in the basket originally = 5 × 15 = 75

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