Question

    Two quantities, Quantity I and Quantity II, are provided. Your task is to solve both quantities and determine the correct relationship between them. Choose the appropriate option.

    Quantity 1: A factory produces 1200 gadgets in 8 hours.

    If the production rate is increased by 25%, how many gadgets can be produced in the same time? Quantity 2: If the factory operates 12 hours a day at the original production rate, how many gadgets will it produce in one day?
    A Quantity 1 > Quantity 2 Correct Answer Incorrect Answer
    B Quantity 1 < Quantity 2 Correct Answer Incorrect Answer
    C Quantity 1 = Quantity 2 Correct Answer Incorrect Answer
    D Quantity 1 ≤ Quantity 2 Correct Answer Incorrect Answer
    E Quantity 1 ≥ Quantity 2 Correct Answer Incorrect Answer

    Solution

    Original rate = 1200 gadgets / 8 hours = 150 gadgets/hour. New rate = 150 + 25% of 150 = 150 + 37.5 = 187.5 gadgets/hour. Quantity 1: 187.5 gadgets/hour * 8 hours = 1500 gadgets. Quantity 2: 150 gadgets/hour * 12 hours = 1800 gadgets. Thus, Quantity 1 < Quantity 2. Answer: b) Quantity 1 < Quantity 2

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