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    A trader offers several discount schemes. Choose the scheme that provides the lowest selling price from the following options.
    Question

    A trader offers several discount schemes. Choose the scheme that provides the lowest selling price from the following options.

    A.

    A single discount of 72%

    B.

    Buy one, get one free

    C.

    Buy one, get three free

    D.

    Buy two, get five free

    Correct option is C

    Solution:

    Option A - A single discount of 72%:
    The selling price after a 72% discount is 28% of the original price. Mathematically, this is:
    Selling Price =P×(10.7 P \times (1 - 0.7​2) = 0.28P

    Option B - Buy one, get one free:
    This means the trader gives one additional product for every product purchased, so the effective price per item is halved.
    Effective Price =P2 \frac{P}{2}= 0.50P​​

    Option C - Buy one, get three free:
    For every one product bought, four products are received. Thus, the price per product is:
    Effective Price = P4\frac{P}{4}= 0.25P​​

    Option D - Buy two, get five free:
    For every two products bought, seven are received. Hence, the price per product is:
    Effective Price =2P7 \frac{2P}{7}0.2857P\approx 0.2857P​​​

    Conclusion:

    The lowest price is given by Option C, where you get four products for the price of one, making the price per product 0.25P.

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