Finding Increase or Decrease Percentage in Situations
An error of ...
Question
An error of 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
A
2%
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B
2.02%
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C
4%
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D
4.04%
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Solution
The correct option is D4.04% Let the correct side of the square be x cm. Then, incorrect side =x+2100x=1.02x Correct area =x2 Incorrect area =(1.02x)2=1.0404x2 ∴% Error =(1.0404x2−x2x2×100)% =(0.0404×100)%