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Mathematics

A number 80 is wrongly taken as 100. The percentage error is :

  1. 20%

  2. 25%

  3. 10080×100%\dfrac{100}{80}\times 100\%

  4. 80100×100%\dfrac{80}{100}\times 100\%

Percent & Percentage

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Answer

Given:

Correct Number = 80

Incorrect Number = 100

Difference in number = Incorrect number - Correct number

= 100 - 80 = 20

Percentage error = Difference in numberCorrect Number×100\dfrac{\text{Difference in number}}{\text{Correct Number}} \times 100 %

= 2080×100\dfrac{20}{80} \times 100 %

= 14×100\dfrac{1}{4} \times 100 %

= 25%

Hence,option 2 is the correct option.

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