Q:

A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearance items. What percent of the original price do you end up paying? Give your answer accurate to at least one decimal place.

Accepted Solution

A:
Answer: He would pay 45% of the original price.Step-by-step explanation:Since we have given that Let the original price of item be 'x'Rate mark down by 25%Amount of marked down would be [tex]\dfrac{25}{100}\times x\\\\=0.25x[/tex]Amount after marked down becomes [tex]x-0.25x\\\\=0.75x[/tex]Additional clearance items by 40% offAmount of additional off is given by[tex]\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x[/tex]After additional off, the amount becomes,[tex]0.75x-0.3x\\\\=0.45x[/tex]Hence, he would pay 45% of the original price.