Chapter 6.1, Problem 52STP

To determine

Find the $35\%$ of the number.

Answer to Problem 52STP

The number is $28$ , option D is correct.

Explanation of Solution

Given:

It is given in the question that $40\%$ of a number is $32$ .

Concept Used:

In this, use the concept of percent proportion such that the ratio of given two number will equal to the ratio of $p/100$ .

Calculation:

Here, Using the percent proportion:

  $\begin{array}{l}\frac{32}{x}=\frac{40}{100}\\ x\cdot 40=32\cdot 100\\ x=\frac{32\times 100}{40}\\ x=\frac{3200}{40}\\ x=80\end{array}$

Now, find $35\%of80$ ,

  $\begin{array}{l}\frac{y}{80}=\frac{35}{100}\\ y\cdot 100=35\cdot 80\\ y=\frac{35\times 80}{100}\\ y=\frac{2800}{100}\\ y=28\end{array}$

Conclusion:

The number is $28$ .