Question

What percentage of Rs. 200 is Rs. 10?

Answer 1

Hint:
Here, we are required to find that what percentage of Rs. 200 is Rs. 10. We will assume the percentage to be some variable. Then, we will form a mathematical equation using the above given information. Solving the equation further, we will get the required percentage.

Complete step by step solution:
We will first define the term percentage.
We know that ‘cent’ means 100. Hence, ‘Percentage’ means ‘per 100’ or we can say that percentage is that number which can be expressed as a fraction of 100 or by just using the $\% $ sign.
Now, in this question, it is asked to find what percentage of Rs. 200 is Rs. 10.
Let $x\% $ of Rs. 200 be Rs. 10.
Here, ‘of’ indicates that we have to multiply the terms and ‘be/is’ indicates the usage of ‘equals to’ sign. Therefore, we can write
$x\% \times 200 = 10$
We can write the percentage sign ($\% $) as $\dfrac{1}{{100}}$. So,
$ \Rightarrow \dfrac{x}{{100}} \times 200 = 10$
Dividing the LHS by 100, we get
$ \Rightarrow 2x = 10$
Dividing both sides by 2, we get
$ \Rightarrow x = 5$

Therefore, $5\% $ of Rs. 200 is Rs. 10.
Hence, this is the required answer.

Note:
Percentage can be expressed as a fraction of 100. We use percentage in our day to day life to express some measurement.
For example: We express exam marks as percentage.
As in this question it is asked that what percentage of Rs. 200 is Rs. 10, this could be misinterpreted and misread and hence, we could make the equation as:
$10 \times x\% = 200$
$\dfrac{{200}}{{10}} = x\% $
As this is the wrong answer, so must read the question carefully.