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    What is the equivalent discount percentage corresponding to two successive discounts of 9% and 17% ?
    Question

    What is the equivalent discount percentage corresponding to two successive discounts of 9% and 17% ?

    A.

    27.53%

    B.

    26.47%

    C.

    26.00%

    D.

    24.47%

    Correct option is D

    Given: 
    two successive discounts of 9% and 17%.
    Concept Used: 
    SP after discount = MP×(1Discount%100)MP \times \left(1 - \frac{Discount\%}{100} \right)
    Solution: 
    Let the Marked Price, MP = ₹ 100  
    Now, 100×91100×83100=75.53100 \times \frac{91}{100}\times\frac{83}{100} = 75.53 
    so discount = 100 - 75.53 = 24.47 
    Discount % = 24.47100×100=24.47%\frac{24.47}{100}\times 100 = 24.47\% 

    Alternate Method: 
    Using the formula ;
    x+y+xy100x+y+\frac{xy}{100}  
    For two successive discounts, x is negative and y is also negative. 

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