Question

When the $\frac{1}{10}$ percent of $5000$ is subtracted from $\frac{1}{10}$ of $5000$, the difference is,

• A. $50$
• B. $400$
• C. $495$
• D. $500$

Answer 1

The correct option is C

$495$

Explanation for the correct option:

$\frac{1}{10}$ percent of $5000$ is computed as,

$$\begin{gathered} \frac{1}{10}\%\mathrm{of}5000=5000\times \frac{1}{10\times 100} \\ \Rightarrow \frac{1}{10}\%\mathrm{of}5000=5 \end{gathered}$$

And,

$$\begin{gathered} \frac{1}{10}\mathrm{of}5000=5000\times \frac{1}{10} \\ \Rightarrow \frac{1}{10}\mathrm{of}5000=500 \end{gathered}$$

Now,

$$\begin{gathered} \frac{1}{10}\mathrm{of}5000-\frac{1}{10}\%\mathrm{of}5000=500-5 \\ \therefore \frac{1}{10}\mathrm{of}5000-\frac{1}{10}\%\mathrm{of}500=495 \end{gathered}$$

Hence, the correct option is $\mathrm{C}$.