Question

Find the percentage of given quantity:
a. $25\%$ of $500$
b. $30\%$ of ₹ $1200$
c. $45\%$ of $500$ KM

Answer 1

Hint: To get the percentage of the given quantity in the form of $a\%$ of $b$, we will use the formula $\dfrac{a}{100}\times b$. Then, we will simplify it in the simplest form with the help of proper mathematical operations to get the required answer.

Complete step by step answer:
a. $25\%$ of $500$
Since, the formula for getting the percentage of the above given quantity is:
$\Rightarrow \dfrac{a}{100}\times b$
Where, $a=25$ and $b=500$.
Now, we will substitute the respective values of $a$ and $b$in the formula as:
$\Rightarrow \dfrac{25}{100}\times 500$
Here, we will get $12500$ after multiplying $25$ and $500$ from the above step as:
$\Rightarrow \dfrac{12500}{100}$
Using division, we will have:
$\Rightarrow 125$
Hence, the percentage of $25\%$ of $500$ is $125$.

b. $30\%$ of ₹$1200$
We will use the formula for getting the percentage of the above given quantity.
$\Rightarrow \dfrac{a}{100}\times b$
Where, $a=30$ and $b=1200$.
Substitute $30$ for $a$ and $1200$ for $b$in the formula as:
$\Rightarrow \dfrac{30}{100}\times 1200$
After multiplying $30$ and $1200$, we will get $36000$ from the above step as:
$\Rightarrow \dfrac{36000}{100}$
We will have $360$by division from the above step as:
$\Rightarrow 360$
Hence, the required answer is $360$.

c. $45\%$ of $500$ KM
For getting the percentage of the above given quantity, we can use the formula mentioned below:
$\Rightarrow \dfrac{a}{100}\times b$
Where, $a=45$ and $b=500$.
Substituting $30$ for $a$ and $1200$ for $b$ in the above formula as:
$\Rightarrow \dfrac{45}{100}\times 500$
Now, we will multiply $45$ with $500$ and will get $22500$ from the above step as:
$\Rightarrow \dfrac{22500}{100}$
By division, we will have $225$from the above step as:
$\Rightarrow 225$
Hence, the required value of the given quantity is $225$.

Note: We can check whether the procedure for obtaining the required value is correct or incorrect in the by using the following formula of getting percent of obtained value.
$=\dfrac{\text{Obtained value}}{\text{Total}}\times 100$
Check for $25\%$ of $500$ -
Since, the obtained value is $125$ and total is $500$. So, from the formula-
$=\dfrac{125}{500}\times 100$
Now, we will do the necessary mathematical calculation:
$\begin{align}
  & =\dfrac{125}{5} \\
 & =25\% \\
\end{align}$
Hence, the solution is correct.

For $30\%$ of ₹$1200$-
Since, the obtained value is $360$ and the total is $1200$. So, from the formula-
$=\dfrac{360}{1200}\times 100$
Now, we will do the necessary mathematical calculation:
$\begin{align}
  & =\dfrac{360}{12} \\
 & =30\% \\
\end{align}$
Hence, the solution is correct.
For $45\%$ of $500$ KM
Since, the obtained value is $225$ and the total is $500$. So, from the formula-
$=\dfrac{225}{500}\times 100$
Now, we will do the necessary mathematical calculation:
$\begin{align}
  & =\dfrac{225}{5} \\
 & =45\% \\
\end{align}$
Hence, the solution is correct.