Labelled price of an article is 55.5% 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.50, 44.5
ii.52, 34.5
iii.40, 16.5
iv.52.5, 49.5
v.None of these

Solution

Let CP = 100 & MP(labelled price) = 155.5 From (i), When profit = 50% so SP = 150 then there will be Rs. 5.5 Discount.  Now if there will be twice discount means Rs. 11 discount then New SP = 155.5-11 = Rs. 145.5 then profit will be 45.5%. Hence (i) is possible.   From (ii), When profit = 52% so SP = 152 then there will be Rs. 3.5 Discount.  Now if there will be twice discount means Rs. 7 discount then New SP = 155.5-7 = Rs. 148.5, then profit will be 48.5%. Hence (ii) is not possible.   From (iii), When profit = 40% so SP = 140 then there will be Rs. 15.5 Discount.  Now if there will be twice discount means Rs. 31 discount then New SP = 155.5-31 = Rs. 124.5, then profit will be 24.5%. Hence (iii) is not possible.   From (iv), When profit = 52.5% so SP = 152.5 then there will be Rs. 3 Discount.  Now if there will be twice discount means Rs. 6 discount then New SP = 155.5-6 = Rs. 149.5, then profit will be 49.5%. Hence (iv) is possible.