Chapter 6.3, Problem 23IP

To determine

Calculate the original cost of television and theater system.

Answer to Problem 23IP

The original cost will be $ $2500$ .

Explanation of Solution

Given:

It is given in the question that the coat of a television and theater system are $\$2668.75$ and the tax included in it is $6.75\%$ .

Concept Used:

In this, use the concept of percent equation and the equation is $Part=Percent\cdot Whole$ .

Calculation: Let the original cost was x. Then, the paid in tax was $2668.75-x$ .

So,

  $\begin{array}{l}2668.75-x=0.0675x\\ 2668.75=0.0675x+x\\ 2668.75=1.0675x\\ x=\frac{2668.75}{1.0675}\\ x=2500\end{array}$

Conclusion:

The original cost will be $ $2500$ .