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    Which of the following successive discounts is better for a customer? a. 20%,15%,10% b. 25%,12.5%,10%
    Question

    Which of the following successive discounts is better for a customer?
    a. 20%,15%,10%
    b. 25%,12.5%,10%

    A.

    Both are the same

    B.

    b is better

    C.

    a is better

    D.

    Cannot be determined

    Correct option is B

    Given:
    Option a: 20%, 15%, 10% successive discounts
    Option b: 25%, 12.5%, 10% successive discounts
    Formula Used:
    Final Price Multiplier = (1d1100)(1d2100)(1d3100)(1 - \frac{d_1}{100})(1 - \frac{d_2}{100})(1 - \frac{d_3}{100})​​
    Solution:
    Assume the Marked Price is 100 to compare the final selling prices directly. The lower selling price is better for the customer.
    Selling Price for Option a:
    SP(a) = 100 × 0.80 × 0.85 × 0.90 = 61.2 (which signifies an effective discount of 38.8%)
    Selling Price for Option b:
    SP(b) = 100 × 0.75 × 0.875 × 0.90 = 59.0625 (which signifies an effective discount of 40.9375%)
    Since Option b yields a lower selling price (or higher effective discount), it is better for the customer.
    Final Answer
    So the correct answer is (b)

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