Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: Seema had a loss when she sold a dress for Rs. 1500. If it is sold for Rs. 2400 then there would be a profit which is 80% of loss. Find the cost price of a dress. Quantity B: Raj bought a cycle with an additional 2% discount on the reduced price, after a 5% discount on showroom price. The showroom price of cycle is Rs. 4500. At what price Raj purchased the cycle? Correct Answer Quantity A Quantity A: Let the cost price of the dress be Rs.a. If the selling price is Rs. 1500 then it would have a loss. Loss = cost price – selling price Loss = a – 1500 But, if the selling price is Rs. 2400 then it would have profit. Profit = selling price – cost price Profit = 2400 – a Given, The profit is 80% of the loss (2400 – a) = (80/100) × (a – 1500) 12000 – 5a = 4a – 6000 9a = 18000 a = 2000 The cost price of the dress is Rs. 2000. Quantity B: The showroom price of Cycle = Rs. 4500 Price of the cycle after a 5% discount = = 4500 – 4500 × (5/100) = 4275 Raj get additional 2% discount on price after 5% discount. Raj purchased cycle at = = 4275 – 4275 × (2/100) = 4189.5 Raj purchased cycle at Rs. 4189.5 From the above solution, The relation between Quantity A < Quantity B is established.