Question

A friend plans to purchase a 72-inch tv at a particular store for a cost of $1500. The store is offering 25% off any one item. He also has an internet coupon for an additional 10% off any discounted price. How much will your friend save (a) in dollar amount and (b) in percent?

Answer 1

the The Solution.

The marked price of the 72-inch TV = $1500

25% discount makes the actual discount to be:

`\begin{gathered} \text{Actual Discount = 25 \% of 1500} \\ \text{ = }(25)/(100)*1500=\text{ \$375} \end{gathered}`

So, the discounted price will now be

Discounted price = 1500 - 375 = $1125

He has an additional 10% internet coupon discount on already dicounted price ($1125) .

`\begin{gathered} \text{Additional discount = 10\% of 1125} \\ \text{ =}(10)/(100)*1125=\text{ \$112.50} \end{gathered}`

a. The friend will save

`\begin{gathered} 375+112.50 \\ =\text{ \$487.50} \end{gathered}`

b. in percentage, he saved

`(487.5)/(1500)*100=32.5\text{ \%}`

Therefore, the correct answers are:

a. $487.50

b. 32.5%