Chapter 6.1, Problem 38IP

To determine

Find the number of $5\frac{1}{3}\%$ which is $41$ .

Answer to Problem 38IP

The number of $5\frac{1}{3}\%$ is $769.23$ .

Explanation of Solution

Given:

It is given in the question that the two numbers are given $5\frac{1}{3}\%and41$ .

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,

The percent is $5\frac{1}{3}\%=5.33\%$ . Let b represent the number.

  $\begin{array}{l}\frac{41}{b}=\frac{5.33}{100}\\ b\cdot 5.33=41\cdot 100\\ b=\frac{41\times 100}{5.33}\\ b=\frac{4100}{5.33}\\ b=769.23\end{array}$

Conclusion:

The number is $769.23$ .