I estimated $260$ people, but $325$ came. Find the error as a percent of the exact value.

20 %

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40 %

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30 %

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None of these

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Solution

The correct option is A $20 %$
$\Rightarrow$ Expected people to come is $260$ and actual people came is $325$
$\Rightarrow$ Approximate value is $260$ and exact value is $325$
$\Rightarrow$ $E r r o r = E x a c t v a l u e - A p p r o x i m a t e v a l u e = 325 - 260 = 65$ .
$\Rightarrow$ $P e r c e n t e r r o r = \frac{65}{325} \times 100 = 20 %$

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I estimated 260 people, but 325 came. Find the error as a percent of the exact value.

The correct option is A 20%⇒ Expected people to come is 260 and actual people came is 325⇒ Approximate value is 260 and exact value is 325⇒ Error=Exactvalue−Approximatevalue=325−260=65.⇒ Percenterror=65325×100=20%

I estimated $260$ people, but $325$ came. Find the error as a percent of the exact value.