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    Question

    Successive discount of a% and b% are equivalent to a

    discount of
    A (a + b)% Correct Answer Incorrect Answer
    B (a+b/2)% Correct Answer Incorrect Answer
    C (a+b - ab/100)% Correct Answer Incorrect Answer
    D √ab% Correct Answer Incorrect Answer

    Solution

    Effective Discount = 100 [(100-a) × (100 - b)/100] This can be expanded and simplified to: Effective Discount = 100-(10000 - 100b -100a + ab)/100 Effective Discount = a + b -(ab/100) So the single equivalent discount is a plus b minus the product of a and b divided by 100. This result gives the percentage of the discount on the original price. Direct-Formula of Successive discount of a% and b% - (a+b-ab/100)%

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