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

10.2 %

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9 %

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9.2 %

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9.93 %

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Solution

The correct option is D $9.93 %$
We know, Percentage error $= \frac{A p p r o x i m a t e v a l u e - E x a c t v a l u e}{E x a c t v a l u e} \times 100 %$

Therefore, percentage error $= \frac{3.625 - 3.265}{3.625} \times 100$ $%$
$= \frac{0.36}{3.625} \times 100$ %
$= 9.93$ $%$

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