Answer to Question #170177 in Algebra for Samuel sefenu

Question

A retail kiosk has listed a pair of sunglasses for $136 less 30%. A department store in the shopping mall lists the same model for $126 less 20%, less an additional 15%. What additional rate of discount must the kiosk give to meet the department store price?

Answer 1

Discounted price for retail kiosk $=0.70 × 136$

$=\$95.20$

For department store in the shopping mall:

First discounted price $=0.8 × 126$

$=\$100.80$

Final discounted price $=0.85 × 100.80$

$=\$85.68$

Difference between retail kiosk and department store 

$=95.20 – 85.68$

$=\$9.52$

Additional discount rate required $=9.52/95.20$

$=0.1$

$=10$ percent