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    Number A is eight times as large as number B. By what percentage is number B less than number A?
    Question

    Number A is eight times as large as number B. By what percentage is number B less than number A?

    A.

    87.5%

    B.

    20%

    C.

    80%

    D.

    12.5%

    Correct option is A

    Given:
    A = 8 × B

    Concept Used:
    Percentage decrease = [(Difference)(Original Value)]×100[\frac{(Difference) }{ (Original\ Value)}] × 100 

    Solution:

    Let the value of B = x
    Then, A = 8x

    Difference = A - B = 8x - x = 7x

    Percentage by which B is less than A = (7x8x)×100 (\frac{7x }{ 8x}) × 100​​

    Percentage = (78)×100=87.50% (\frac{7 }{ 8}) × 100 = 87.50 \%​​

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