Percentage | Arithmetic aptitude | Discussion Page

In measuring the sides of a rectangle errors of 5% and 3% in excess are made. The error percent in the calculated area is

A) 8.15%

B) 7.15%

C) 6.15%

D) 9.15%

E) 5.15%

Option A

Let actual sides of the rectangle be $x$ and $y$ respectively.

Measured sides are $x + 0.05x$ $= 1.05x$ and $y + 0.03 y$ $= 1.03y$

Autual area $= xy$

Measured area $= (1.05) (1.03) xy$ $= 1.0815 xy$

Error in area $= 1.0815 xy - xy$ $= .0815 xy$

Error % $=\left( \frac{0.0815 xy}{xy}\right)\times 100$ = 8.15%

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