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The number 80 is decreased to 75 . What is the percentage by which the number was decreased, to the nearest tenth of a percent? Answer:

The number 8080 is decreased to 7575 . What is the percentage by which the number was decreased, to the nearest tenth of a percent?\newlineAnswer:

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Full solution

Q. The number 8080 is decreased to 7575 . What is the percentage by which the number was decreased, to the nearest tenth of a percent?\newlineAnswer:
  1. Identify Numbers: Identify the original number and the new number after the decrease.\newlineOriginal number: 8080\newlineNew number after decrease: 7575\newlineWe need to calculate the decrease in the number and then find out what percentage that decrease is of the original number.
  2. Calculate Decrease: Calculate the decrease in the number.\newlineDecrease = Original number - New number\newlineDecrease = 80−7580 - 75\newlineDecrease = 55
  3. Calculate Percentage: Calculate the percentage decrease.\newlinePercentage decrease = (Decrease÷Original number)×100(\text{Decrease} \div \text{Original number}) \times 100\newlinePercentage decrease = (5÷80)×100(5 \div 80) \times 100
  4. Perform Division and Multiplication: Perform the division and multiplication to find the percentage decrease.\newlinePercentage decrease = (0.0625)×100(0.0625) \times 100\newlinePercentage decrease = 6.25%6.25\%
  5. Round Percentage: Round the percentage decrease to the nearest tenth of a percent.\newlineRounded percentage decrease = 6.3%6.3\%

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