Question

Find the value when the number $750$ is Increased by$9\% $.

Answer 1

Hint:First find $9\% $of the given number, which is the part of that number. It can be found as:
$9\% $of$x$$ = \dfrac{9}{{100}} \times x$
Substitute the x as the given number and solve the equation.
After that add it with the given number to get the number which is required in the given problem.

Complete step-by-step answer:
We have given a number $750$.
The goal is to increase the given number by $9\% $.
First, find $9\% $of the given number $750$.

So,
$9\% {\text{ of }}750 = \dfrac{9}{{100}} \times 750$
Simplify the value and get the result.
$9\% {\text{ of }}750 = 9 \times 7.5$
$9\% {\text{ of }}750 = 67.5$
So,$9\% $ of the given number $750$ is $67.5$. Now, add this increase in the given number.
The formed number after the increment $ = {\text{Given number}} + {\text{increase in the number}}$
The formed number after the increment $ = {\text{750}} + {\text{67}}{\text{.5}}$
The formed number after the increment ${\text{ = 817}}{\text{.5}}$
So, the increased number by $9\% $ is $817.5$

Note: There is an alternate method to solve the problem. We can easily find an increased number from $750$ by $9\% $. If we find $109\% $ of the number the solution again gives the same answer. Let us find.
$109\% $ of $750$
$ \Rightarrow \dfrac{{109}}{{100}} \times 750$
$ \Rightarrow 10.9 \times 75$
$ \Rightarrow 817.5$
So, the increased number is 817.5. It can be seen that it is the same as the above solution.