Question

What percent of $Rs.125$ is $Rs.10$ ?

Answer 1

Hint: Here we have been asked what percent of one value is another. So we will use the percentage formula for solving this question. Firstly we will let the percent as $x\%$ then we will form an equation using the formula of percentage such that $x\%$ of one value is equal to another value. Finally we will solve this equation by removing the percentage sign and dividing the unknown variable by $100$ and solving the equation further to get our desired answer.

Complete step-by-step answer:
We have to find what percent of $Rs.125$ is $Rs.10$ .
Let $x\%$ of $Rs.125$ is $Rs.10$
So we can write the above statement using the formula $P\%$ of Number $=X$ as follows:
$x\%\times 125=10$
Remove $\%$ sign and dividing $x$ by $100$ as follows:
$\Rightarrow \dfrac{x}{100}\times 125=10$
$\Rightarrow x=\dfrac{100}{125}\times 10$
On solving further we get,
$\Rightarrow x=\dfrac{20}{25}\times 10$
$\Rightarrow x=8\%$
So we get the value of $x\%=8$
Hence $Rs.125$ is $8\%$ of $Rs.10$
So, the correct answer is “$8\%$”.

Note: Percentage is any number or any ratio that can be expressed as a fraction of $100$ . For getting the percentage between two numbers, divide the second number by the first number and multiply it by $100$ then solve the value and add the $\%$ sign on the answer obtained to get the percentage between them. We could have used that approach in our question as follows:
$\Rightarrow \dfrac{Rs.10}{Rs.125}\times 100$
$\Rightarrow 8\%$
So again we are getting the answer as $8\%$
Percentage has no dimension as we can see that the value which is Rupee in this case is cancelled out. Hence it is a dimensionless number. We can represent percentage in decimal or in fraction form as well in this case though we have obtained the percentage in integer.