Quantity-I: The cost price of an article is Rs. 500. It is sold at a loss of 20%. Find the selling price. Quantity-II: The cost price of an article is Rs. 800. It is sold at a profit of 25%. Find the selling price. Quantity-III: An article is bought for Rs. 1200 and sold for Rs. 1500. Find the profit percentage. Which of the following pair of symbols will define the relation between Quantity I and Quantity II and between Quantity II and Quantity III respectively?
A. = 
B.  >
C. <
D. ≥ E. ≤ F. # (relation cannot be established)

Solution: Quantity I: Selling price = Cost price × (1 - Loss%) Selling price = 500 × (1 - 0.20) = 500 × 0.80 = 400 Quantity II: Selling price = Cost price × (1 + Profit%) Selling price = 800 × (1 + 0.25) = 800 × 1.25 = 1000 Quantity III: Profit = Selling price - Cost price Profit = 1500 - 1200 = 300 Profit percentage = (Profit / Cost price) × 100 Profit percentage = (300 / 1200) × 100 = 25% Comparing Quantity-I, Quantity-II, and Quantity-III: Quantity-I = 400 Quantity-II = 1000 Quantity-III = 25% Now, comparing: Quantity-I < Quantity-II > Quantity-III Therefore, the correct pair of symbols is: C & B Correct option: e