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    Question

    In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis.

    Quantity I: A shopkeeper bought an article for Rs. 3000 and marked its price up by 50%. He then gave two successive discounts of 10% and ‘x’%, making a profit of Rs. 240. What is the value of ‘x’?

    Quantity II: A's current age is 6 years younger than B's, and B is 12 years younger than C. If the ratio of the combined ages of A and B to C's age is 7:6, what will A's age be in 4 years?

    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 relation cannot be determined Correct Answer Incorrect Answer

    Solution

    Answer: B Quantity I: CP of the article = Rs.3000 SP of the article = 3000 + 240 = Rs.3240 So,        405 * (100 – x) = 32400 40500 – 405x = 32400 x = 20 Quantity II: Let C’s present age = ‘x’ years So, B’s present age = (x – 12) years And A’s present age = (x – 12 – 6) = (x – 18) years 12x – 180 = 7x x = 36 So, age of A after 4 years = 36 – 18 + 4 = 22 years Hence, Quantity I < Quantity II

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