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25 November, 00:33

Two numbers are 40% and 20% less than a third. what percentage of the first number forms of the second?

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  1. 25 November, 00:53
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    133·34%

    Explanation:

    Let the third number be x

    40% of the third number is (40 : 100) * x = 0·4 * x

    As the first number is 40% less than the third number, it means that the first number is x - 0·4 * x = 0·6 * x

    20% of the third number is (20 : 100) * x = 0·2 * x

    As the second number is 20% less than the third number, it means that the second number is x - 0·2 * x = 0·8 * x

    Let the percentage of the first number that forms the second be k%

    ∴ (k : 100) * 0·6 * x = 0·8 * x

    ⇒ (k : 100) = 4 : 3

    ∴ k ≈ 133·34

    ∴ The percentage of the first number that forms the second is 133·34%
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