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    Question

    36% of one number is equal to 24% of another number. If the

    sum of both numbers is 420, what is the difference between them?
    A 45 Correct Answer Incorrect Answer
    B 84 Correct Answer Incorrect Answer
    C 50 Correct Answer Incorrect Answer
    D 33 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the numbers be ‘x’ and ‘y’ respectively.

    According to the question,

    ⇒ 0.36x = 0.24y

    ⇒ x/y = 0.24 / 0.36 = 2/3

    So the numbers are in the ratio 2 : 3

    Sum of the numbers = 2 + 3 = 5 units = 420

    ⇒ 1 unit = 420 ÷ 5 = 84

    ⇒ Difference = (3 – 2) units = 1 unit = 84

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