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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.
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