Mathematics

A number 3.625 is wrongly read as 3.265; find the percentage error.

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Given:

Incorrect number = 3.265

Correct number = 3.625

Difference = Correct number - Incorrect number

Difference = 3.625 - 3.265

Difference = 0.36

Percentage error = $\dfrac{\text{difference}}{\text{correct number}} \times 100$ %

= $\dfrac{0.36}{3.625} \times 100$ %

= $\dfrac{36}{3.625}$ %

= $\dfrac{36,000}{3,625}$ %

= 9.93 %

The percentage error = 9.93%.

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