Question

$\frac{25\%of50\%of100\%}{25of100\times 50\%of100}$ is equal to ______ .

• A. $0.0001\%$
• B. $0.1\%$
• C. $0.01\%$
• D. $1\%$

Answer 1

Answer: (D)

$1\%$

Given $\frac{25\%of50\%of100\%}{25of100\times 50\%of100}$

So, first solving solving numerator

$\frac{25}{100}$ of $\frac{50}{100}$ of $\frac{100}{100}$

$⟹\frac{25}{100}\left(\frac{50}{100}\left(\frac{100}{100}\right)\right)equation\left(1\right)$

Now taking denominator

$25$ of $100\times 50\%$ of $100$

So, $25$ of $100$ means $\frac{25}{100}$ which is $\frac{1}{4}$

$50\%$ of $100=\frac{50}{100}\times 100=50$

So, denominator becomes $\frac{1}{4}\times 50equation\left(2\right)$

$\frac{Numerator}{Denominator}=\frac{equation\left(1\right)}{equation\left(2\right)}$

$=\frac{\frac{25}{100}\left(\frac{50}{100}\left(\frac{100}{100}\right)\right)}{\frac{1}{4}\times 50}$

$=\frac{\frac{1}{4}\times \frac{1}{2}}{\frac{1}{4}\times 50}$

$=\frac{1}{2}\times 50$

In terms of percent $=\frac{1}{100}\times 100=1\%$