Question

What is the value of $90\%$ of 130?

Answer 1

Hint: We will solve the expression by using the concept of percentage that is $x\%\text{ }of\text{ }y=\dfrac{x}{100}\times y$. Substituting the values and simplifying the obtained equation we will get the desired answer.

Complete step-by-step solution:
We have to find what is $90\%$ of 130.
Now, we know that the basic rule of percentage is $x\%\text{ }of\text{ }y=\dfrac{x}{100}\times y$.
To solve the percentage the word ‘of’ represents the multiplication so always replace the word ‘of’ by multiplication and the word ’is’ represents the sign equal “$=$”. So we can write the given expression as
\[\Rightarrow 90\%\times 130\]
Now, we know that one percent is the part of hundred percent. To write a percentage in to decimal form we will divide it by 100. Then simplifying the above obtained equation we will get
\[\Rightarrow \dfrac{90}{100}\times 130\]
Now, simplifying the above obtained equation we will get
\[\begin{align}
  & \Rightarrow 9\times 13 \\
 & \Rightarrow 117 \\
\end{align}\]
Hence we get $90\%$ of 130 is 117.

Note: Alternatively we can also solve the question by using the concept of proportion. For this we need to take the proportion between the two quantities and compare the part to the whole. Simplifying the obtained proportion we will get the desired answer. The point to be remembered is that in this particular question there is no need to convert the obtained answer into percentage because we have asked to find the value not percentage.