Question
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? 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.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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