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A number is mistakenly divided by 5 instead of being multiplied by 5 . Find the percentage change in the result due to this mistake.

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answer is A.

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Detailed Solution

Concept- When comparing two numbers, you should always calculate the difference between the two, then divide the result by the original number and multiply by 100.
Percentage change

Therefore, the actual number would be

But by mistake, the number was divided by 5
Therefore, the number would be

Now, take the difference between the Actual number and the mistaken number.

Substitute the values of difference and actual number in the formula-
Percentage change

Percentage change

Simplify the above equation-
(taking "

" common from the numerator and denominator")
Percentage change

Percentage Change

Therefore, the required solution is -
The percentage change in the result due to this mistake is

Hence, from the given multiple choices, option 1 is the correct answer.

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