Question

What is 1% of 1% equal to?
A. \[{10^2}\]
B. \[{10^{ - 1}}\]
C. \[{10^{ - 2}}\]
D. \[{10^{ - 4}}\]

Answer 1

Hint: In this question we will use the basic concept of comparing quantities. Here we will use the method of finding the percentage of any quantity. A percentage is a fraction whose denominator (bottom) is 100. So if we say 50%, we mean 50/100 = $\dfrac {1}{2} $ (after cancelling). So 50% means $\dfrac {1}{2} $. If I want to find 10% of something, 'of' just means 'times'. So 10% of 150 = 10/100 × 150 = 15.

Complete step-by-step solution -
We know that , the formula for finding the percentage of a number is ,
$ \Rightarrow $ x % of y = $\dfrac{x}{{100}} \times y$ .
Here we have to find 1 % of 1%, so
$ \Rightarrow $ 1% of 1% = $\dfrac{1}{{100}} \times (1\% )$
$ \Rightarrow $ 1% of 1% = $\dfrac{1}{{100}} \times \dfrac{1}{{100}}$.
$ \Rightarrow $ 1% of 1% = $\dfrac{1}{{10000}}$.
$ \Rightarrow $ 1% of 1% = \[{10^{ - 4}}\].
Therefore, we can say that 1% of 1% is equal to \[{10^{ - 4}}\].
Hence, the correct answer is option (D).

Note: In this type of question we will use the method of finding the percentage of a number. Here we have to find the percentage of a percentage, so first we will find out the second percentage term by using the formula, x % of y = $\dfrac{x}{{100}} \times y$. Then we will find out the percentage of that term. Through this we can easily get our answer.