Question

If p percent of $250$ is $75$, what is $75\%$ of $p$ ?
(a) $22.5$
(b) $25$
(c) $75$
(d) $225$
(e) $250$

Answer 1

Hint: To solve the above question, we have to know the concept of percentage. So, percentage, which is a relative value indicating hundredth parts of any quantity and One percent (symbolized$1\%$ ) is a hundredth part; thus, $100$ percent represents the entirety and $200$ percent specifies twice the given quantity.

Complete step by step answer:
To understand the concept of percentage we will take some examples and polish our brain.
So, if we take $25\%$ that means $\Rightarrow \dfrac{25}{100}$
If we take $25\%of\,80$ that means$\Rightarrow \dfrac{25}{100}\times 80$
Now, if we simplify it then we will get $\Rightarrow \dfrac{1}{4}\times 80$
Now we will get final result as$\Rightarrow 20$
We will take one more example to make our concept strong.
If it is given that only $10$ of the $200$ oranges are bad, now we have to determine the percentage of it.
$\Rightarrow $ As it is given that $10$ of the $200$ oranges are bad, then we get the fraction as $=\dfrac{10}{200}$ .
Now we have to find the percentage of it, so the percentage is$=\left( \dfrac{10}{200}\times 100 \right)\%$ .
Now we simplify it and we will get $\Rightarrow 5\%$
Now we go through our given problem that is $p$ percent of $250$ is $75$ .
If we simplify it we can get $\Rightarrow \dfrac{p}{100}\times 250$
$\Rightarrow 250p=7500$
$\Rightarrow p=\dfrac{7500}{250}=30$
We get the value $p=30\%$
Now, we have to determine $75\%of\,p$ .
As we get$p=30$
So, we will get$\Rightarrow \dfrac{75}{100}\times 30$
Now if we simplify it, we can get $\Rightarrow 22.5$

So, the correct answer is “Option A”.

Note: Here student must take care of the concept of percentage. Sometimes student did a mistake on the time of determination of percentage of a fraction like $0.36\%$ .On this time student forgets to consider the fraction like they did $\Rightarrow \left( \dfrac{36}{100} \right)$ but the actual way to determine is $\dfrac{0.36}{100}=\dfrac{36}{10000}$ .
So, students have to take care of it.