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

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.