Chapter 24, Problem 1A

What is 7.25% of 43.80? Round your answer to 2 decimal places.

To determine

The percentage under given condition.

Answer to Problem 1A

  $3.18$

Explanation of Solution

Given information:

Rate is given as $7.25\%$ and base is $43.80$.

Calculation:

As we know the proportion to find percentage is given as

  $\frac{P}{B}=\frac{R}{100}$

where, $P=\text{percentage, }B=\text{ base and }R=\text{rate}$

Now, as per the problem statement rate is $7.25\%$ i.e. $R=7.25$

Also, base $B=43.80$.

Putting these value in standard proportion,

  $\begin{array}{l}\frac{P}{B}=\frac{R}{100}\\ \Rightarrow \frac{P}{43.80}=\frac{7.25}{100}\\ \text{Applying cross multiplication,}\\ \Rightarrow \text{100}P=7.25\times 43.80\\ \Rightarrow P=\frac{7.25\times 43.80}{100}\\ \Rightarrow P=3.18\end{array}$

Hence, $7.25\%$ of $43.80$ is equal to $3.18$.