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    Which of the following will yield maximum discount on Rs. 34,480? A) 2 successive discounts of 7% and 3% B) 2 successive discounts of 8% and 2%
    Question

    Which of the following will yield maximum discount on Rs. 34,480?
    A) 2 successive discounts of 7% and 3%
    B) 2 successive discounts of 8% and 2%
    C) Single discount of 9.8%

    A.

    A

    B.

    B

    C.

    C

    D.

    C and B will yield equal discount.

    Correct option is B

    Given:
    Original Price (OP) = ₹34,480
    Formula Used:
    Successive Discount Formula: Effective Discount = (a + b - a×b100\frac {a × b} {100}​)%
    Solution:
    Option A:
    Effective Discount = 7 + 3 - 7×3100\frac {7 × 3} {100}​​
    => Effective Discount = 10 - 0.21 = 9.79%
    Option B:
    Effective Discount = 8 + 2 -8×2100\frac {8 × 2} {100}​​
    => Effective Discount = 10 - 0.16 = 9.84%
    Option C:
    Single Discount = 9.8%
    If the discount percentage is more, then discount is also more.
    ∴ The correct answer is Option B, as it yields the maximum discount.

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