Question

What is 10% of 2800?

Answer 1

Hint: In this question we need to use the concept of percentage. So, for the same we will use the percent formula which is Value=$${\displaystyle \frac{(Percent\times number)}{100}}$$ .Direct substitution of values in this formula will give us the appropriate result.

Complete step by step solution:
Now, in this question we can see that we need to find the percent of some number So, according to formula we have,
Given Percent is =10%
And number of which we want the percent portion is =2800
So, now putting these values in formula of value we get,
Value=$${\displaystyle \frac{(Percent\times number)}{100}}$$
$Value={\displaystyle \frac{(10\times 2800)}{100}}$ (We have removed the % symbol since we have divided by 100 in denominator)
Now multiplying 10 and 2800 we get
$\Rightarrow {\displaystyle \frac{28000}{100}}$
And now dividing with 100 will give us the decimal value that is,
$$\Rightarrow 280$$
So, after dividing the number 28000 by 100 we can see that we get 280.
Hence our required answer is that $10$ of 2800 is 280.

Note: Students majorly forget to imply this formula and directly use the percentage formula and substitute the value in the wrong way and get the wrong answer. Secondly, students forget to remove the percent symbol while putting the value of Percent. It must be taken care that the calculation portion is done in an appropriate manner that reduces chances of error like first solve the bracket only, don't just see 100 in the denominator and accordingly apply decimal places and then multiply in decimals which may give large decimal values if the value is large enough.
We can also verify this like what percent of 2800 is 280 and we will get the ans as $$10$$ using the percentage formula which is,
Percentage=${\displaystyle \frac{number}{total}}\times 100$ .