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    Question

    Labelled price of an article is 60% 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 i.45, 30 ii.40, 20 iii.49, 30 iv.50, 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) = 160 From (i), When profit = 45% so SP = 145 then there will be Rs. 15 Discount.  Now if there will be twice discount means Rs. 30 discount then New SP = 160-30 = Rs. 130 then profit will be 30%. Hence (i) is possible.   From (ii), When profit = 40% so SP = 140 then there will be Rs. 20 Discount.  Now if there will be twice discount means Rs. 40 discount then New SP = 160-40 = Rs. 120, then profit will be 20%. Hence (ii) is possible.   From (iii), When profit = 49% so SP = 149 then there will be Rs. 11 Discount.  Now if there will be twice discount means Rs. 22 discount then New SP = 160-22 = Rs. 138, then profit will be 38%. Hence (iii) is not possible.   From (iv), When profit = 50% so SP = 150 then there will be Rs. 10 Discount.  Now if there will be twice discount means Rs. 20 discount then New SP = 160-20 = Rs. 140, then profit will be 40%. Hence (iv) is not possible.

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