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Difficulty: EasyPercentage Calculations

A numerical value decreases from 8080 to 6464. Which of the following represents the percentage of decrease?

  1. A
    25%25\%
  2. B
    80%80\%
  3. 20%20\%Answer
  4. D
    0.2%0.2\%

Answer

The correct answer is 20%20\%.
The percentage decrease is found by dividing the absolute change by the original amount. The value decreased by 16 (from 80 to 64). Dividing 16 by the original value of 80 gives 0.20, which converts to 20%.

Step-by-Step Solution

1
Calculate the absolute decrease in the value.
80−64=1680 - 64 = 16
To find the percentage decrease, the total amount of change must first be determined.
2
Divide the change by the original starting value.
1680=0.20\frac{16}{80} = 0.20
Percentage change is always based on the initial value, not the final value.
3
Convert the resulting decimal to a percentage.
0.20×100%=20%0.20 \times 100\% = 20\%
Multiplying by 100 converts the decimal proportion into a percentage format.

Key Concept

Percentage Decrease
Estimated Time:45s
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Topics

Percentage Calculations

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