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    Question

    Labelled price of an article is 55% more than the CP of

    the article. When it is solid at x% discount then _______% percent profit is obtained and when it is sold at a discount of 2x%, _______% profit is obtained. Which of the following options are possible for the blanks in same order? i.45.5, 36 ii.33, 10 iii.42.5, 30 iv.40, 15       v. None of these
    A Only (i) & (ii) Correct Answer Incorrect Answer
    B Only (ii) & (iv) Correct Answer Incorrect Answer
    C Only (i) & (iii) Correct Answer Incorrect Answer
    D Only (iv) & (v) Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let CP = 100 & MP (labelled price) = 155 From (i), When profit = 45.5% so SP = 145.5 then there will be Rs. 9.5 Discount.  Now if there will be twice discount means Rs. 19 discount then New SP = 155-19 = Rs. 136, then profit will be 36%. Hence (i) is possible.   From (ii), When profit = 33% so SP = 133 then there will be Rs. 22 Discount.  Now if there will be twice discount means Rs. 44 discount then New SP = 155-44 = Rs. 111, then profit will be 11%. Hence (ii) is not possible.   From (iii), When profit = 42.5% so SP = 142.5 then there will be Rs. 12.5 Discount.  Now if there will be twice discount means Rs. 25 discount then New SP = 155-25 = Rs. 130, then profit will be 30%. Hence (iii) is possible.   From (iv), When profit = 40% so SP = 140 then there will be Rs. 15 Discount.  Now if there will be twice discount means Rs. 30 discount then New SP = 155-30 = Rs. 125, then profit will be 25%. Hence (iv) is not possible.

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