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    Question

    Find a single discount percentage equivalent to

    successive discounts of 20%, 30%, and 35% ?
    A 63.6% Correct Answer Incorrect Answer
    B 55% Correct Answer Incorrect Answer
    C 46% Correct Answer Incorrect Answer
    D 36.4% Correct Answer Incorrect Answer

    Solution

    Total discount allowed after first 2 discounts = 20 + 30 – {(20 × 30)/100} = 44% So, required percentage = 44 + 35 – {(35 ×44)/100} =63.6 % Alternate solution: Let the marked price be Rs.100x So, selling price = 100x × (4/5) × (7/10) × (13/20) = Rs. 36.4x So, total discount allowed = 100x – 36.4x = 63.6%xRs. required percentage=(63.6x/100x) ×100=63.6%

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