Chapter 6.1, Problem 30IP

To determine

Find the amount which is lower in the both case.

Answer to Problem 30IP

Accessories Central has the best price with $\$16.8$ .

Explanation of Solution

Given:

It is given in the question that maria buy a pair of sunglasses cost $\$48$ with a $65\%$ discount from accessories central and on Shades Inc. that sunglasses cost $\$38$ with a $55\%$ discount.

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,

For Accessories Central, the percentage is already known and let the number be x .

  $\begin{array}{l}\frac{x}{48}=\frac{35}{100}\\ x\cdot 100=35\cdot 48\\ x=\frac{35\times 48}{100}\\ x=\frac{1680}{100}\\ x=16.8\end{array}$

The cost of sunglasses is $\$16.8$ .

Again,

For Shades Inc., the percentage is already known and let the number be x .

  $\begin{array}{l}\frac{x}{39}=\frac{45}{100}\\ x\cdot 100=45\cdot 39\\ x=\frac{45\times 39}{100}\\ x=\frac{1755}{100}\\ x=\$17.55\end{array}$

The cost of sunglasses is $\$17.55$ .

Hence, from the both prices Accessories Central has the best price.

Conclusion:

Accessories Central has the best price.