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    A is 25 percent more than B. B is how much percent less than A?
    Question

    A is 25 percent more than B. B is how much percent less than A?

    A.

    25

    B.

    20

    C.

    15

    D.

    17.5

    Correct option is B

    According to question,
    Let the price of B = x
    A = B + 25% of B = x + 0.25x = 1.25x

    Percentage less=ABA×100\text{Percentage less} = \frac{A - B}{A} \times 100

    Substitute the values of A and B:\text{Substitute the values of } A \text{ and } B:

    Percentage less=1.25xx1.25x×100=0.25x1.25x×100\text{Percentage less} = \frac{1.25x - x}{1.25x} \times 100 = \frac{0.25x}{1.25x} \times 100

    Simplifying:Percentage less=0.251.25×100=0.2×100=20%\text{Simplifying:} \quad \text{Percentage less} = \frac{0.25}{1.25} \times 100 = 0.2 \times 100 = 20\%​​​

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