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    Question

    In the question, two quantities I and II are given. You have to solve both the quantities to establish the correct relation between Quantity I and Quantity II and choose the correct option.

    The sum of the cost price of articles A and B is Rs.500 while the ratio of their cost prices is 2:3 respectively.

    Quantity I: If article A is marked 52% above its cost price and sold after offering a discount of 25% then find the profit earned on selling article A.

    Quantity II: Articles A and B are sold at profit of 30% and loss of 5% respectively. Find the overall profit earned on selling these two articles.

    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 Correct Answer Incorrect Answer
    E Quantity I = Quantity II or No relation Correct Answer Incorrect Answer

    Solution

    Cost price of article A = 500 x (2/5) = Rs.200 Cost price of article B = 500 - 200 = Rs.300 Quantity I: MP of article A = 200 x 1.52 = Rs.304 SP of article A = 304 x 0.75 = Rs.228 So, profit earned = 228 – 200 = Rs.28 Quantity I = Rs.28 Quantity II: SP of article A = 200 x 1.30 = Rs.260 SP of article B =300 x 0.95 = Rs. 285 So, overall profit earned = (260 + 285) – 500 = Rs. 45 Quantity II = Rs. 45 Hence, Quantity I < Quantity II

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