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    Question

    After a discount of Rs.63, item 'chips' is sold for 40%

    more than its cost, yielding a 22% profit. After a 10% discount, item "cold drinks," which has a cost price of Rs.460, is marked down by Rs.40 from its cost price. Quantity I: Determine 120% of item "chips's" cost. Quantity II: Determine 94% of item "cold drinks's" selling price. In the question, two Quantities I and II are given. You have to solve both the Quantity to establish the correct relation between Quantity-I and Quantity-II and choose the correct option. 
    A Quantity-I > Quantity-II Correct Answer Incorrect Answer
    B Quantity-I < Quantity-II Correct Answer Incorrect Answer
    C Quantity-I ≤ Quantity-II Correct Answer Incorrect Answer
    D Quantity-I = Quantity-II or No relation Correct Answer Incorrect Answer
    E Quantity-I ≥ Quantity-II Correct Answer Incorrect Answer

    Solution

    ATQ, Let the cost price of item ‘chips’ = Rs. ‘100c’ Then, marked price of item ‘chips’ = 100c × 1.4 = ‘140c’ Selling price of item ‘chips’ = 140yc – 63 = 100c × 1.22 = Rs. ‘122c’ So, 140c – 122c = 63 Or, 18c = 63 So, c = 63 ÷ 18 = 3.5 So, cost price of item ‘chips’ = 3.5 × 100 = Rs. 350 Marked price of item ‘cold drinks ’ = 460 + 40 = Rs. 500 Selling price of article = 500 × 0.9 = Rs. 450 Quantity I: 120% of cost price of item ‘chips’ = 350 × 1.2 = Rs. 420 So, Quantity I = Rs. 420 Quantity II: 94% of selling price of item ‘cold drinks’ = 450 × 0.94 = Rs. 423 So, Quantity II = Rs.423 Therefore, Quantity I < Quantity II

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