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Question

A positive number is divided by 6 by mistake, instead of being multiplied by 6.  What is the percentage error (approximately)?
  1. 97.22
  2. 83.27
  3. 75.35 
  4. 3.86


Solution

The correct option is A 97.22
Let the number be x.

When it was multiplied by 6, the number obtained would have been 6x.

The number was divided by 6 instead.

Thus the number obtained was x6

Hence, percentage error = 6xx66x×100%

=36xx36x×100%

=3536×100%

=97.22%

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