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

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.