A number is mistakenly divided by 2 instead of being multiplied by 2. Find the percentage change in result due to mistake
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Solution:
We will proceed as follows:
Let the number be x.
Then actual value should be 2x and the measured value is x/2.
Therefore, the percentage error can be calculated as:
Actual value−Measured value/Actual value×100
=2x−x/2/2x×100
=4x−x/2/2x×100
=3x/2×1/2x×100
=3/4×100
=75%
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