A number x is mistakenly divided by 10 instead of being multiplied by 10. what is the percentage error in the result?
A. -99%
B. -100%
C. +99%
D. +100%
Answer: Option A
Solution(By Examveda Team)
Actual result = 10xBy mistake it has been divided by 10 = $$\frac{x}{{10}}$$
%Change = $$ {\frac{{10x - \left( {\frac{{10}}{x}} \right)}}{{10x}}} $$ × 100 = 99 = -99%
Since, actual value is greater than the wrong value.
Alternatively,
Let, x = 10
Actual result = 10 × 10 = 100
Wrong result = $$\frac{{10}}{{10}}$$ = 1
Change = (1 - 100) = -99
% Change = - 99%
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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