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    Which offer is better? 1) Two successive discounts of 10% and 20% 2) Single discount of 30%
    Question

    Which offer is better?
    1) Two successive discounts of 10% and 20%
    2) Single discount of 30%

    A.

    (1)

    B.

    (2)

    C.

    Cannot be determined

    D.

    Both (1) & (2) are the same

    Correct option is B

    Given:
    1: Two successive discounts of 10% and 20%.
    2: A single discount of 30%.
    Formula Used:
    For two successive discounts of a% and b%, the net discount is given by:
    Net discount=a+b(a×b100)\text{Net discount} = a + b - \left( \frac{a \times b}{100} \right)​​
    Solution:
    For Option 1 (two successive discounts of 10% and 20%):
    Net discount=10+20(10×20100)=302=28%\text{Net discount} = 10 + 20 - \left( \frac{10 \times 20}{100} \right) = 30 - 2 = 28 \%​​
    For Option 2 (single discount of 30%):
    Discount = 30%
    Thus, The single discount of 30% is better, as it gives a higher discount compared to the 28% .

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