Question

$\frac{(25\%of50\%of100\%)}{(25\times 50)}$ is equal to

• A. $1.1\%$
• B. $0.1\%$
• C. $0.01\%$
• D. $1\%$

Answer 1

The correct option is C

$0.01\%$

It is given that,

$\frac{(25\%of50\%of100\%)}{(25\times 50)}$ is equal to

Note : $\%is\frac{1}{100}$ and $of$ means multiplication $\times$.

So,

$\frac{(25\%of50\%of100\%)}{(25\times 50)}$ is written as ,

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

$=$ $\frac{\left(\frac{1}{4}\times \frac{1}{2}\times 1\right)}{\left(1250\right)}$

$=$$\left(\frac{1}{4}\times \frac{1}{2}\times 1\right)\times \frac{1}{1250}$

$=$ $\left(\frac{1}{8}\right)\times \frac{1}{1250}$

$=$ $\frac{1}{10000}$ ( convert fraction to decimal )

$=$ $0.0001$

We need to convert it into percentage $\%$ , for that multiply decimal with $100\%$

$=$ $0.0001\times 100\%$

$=$$0.01\%$

Therefore, the answer is $0.01\%$.

Hence, the option is C .