Chapter 1.7, Problem 23E

Solution

What was his salary before raise?

  $x=35200$

Given:

Mark received a 3.5% salary increase. His salary after the raise was $36,432.

Concept Used:

An addition equation shows the sum of two numbers using + and = signs. The equals sign (=) means the things to its left are equal to the things to its right. The plus sign (+) shows you what things to add.

Calculation:

Let the salary of mark before raise $=x$

According to question −

Increment in salary $=3.5\%$

Salary after raise $=\$36432\cdot ($

  $\begin{array}{c}x+\frac{3.5}{100}x=36432\\ \frac{100x+3.5x}{100}=36432\\ \frac{103.5x}{100}=36432\\ 103.5x=36432\cdot 100\\ x=\frac{3643200}{103.5}\\ x=35200\end{array}$

So the salary of Mark before raise, $x=35200$