Question

A number is mistakenly divided by $10$ instead of being multiplied by $10$. What is the percentage change in the result due to this mistake?

Answer 1

Let the number be x

The resultant = x/10

The required result = 10x

Error = 10x - $\frac{x}{10}=\frac{100x-x}{10}=\frac{99x}{10}$

Percentage error $=\frac{\frac{99x}{10}}{10x}\times 100=\frac{99x}{100x}\times 100$

= 99%