Question

The owner of a small store buys coats for $60.00 each. Answer parts a and b.

a. He sells the coats for $96.00 each. What percent of the purchase price is the sale price?
The sale price is % of the purchase price.
b. The owner increases the sale price by the same percent that you found in part a when he buys
jackets for $45 and sells them. How many jackets must the owner buy for the total jacket sales to
be at least $250? Explain your answer.
The owner must buy jacket(s).
Explain your answer.
He sells the jackets for % of $45, or $
He can only sell a whole number of
jackets, so he needs to sell I.

Answer 1

The sale price for coats is 160% of the purchase price. To achieve sales of at least $250 with jackets, the owner must buy and sell 4 jackets at $72 each, which is 160% of the purchase price ($45).

The student's question revolves around percent increase in price and sales calculations, which fall under the category of mathematics. In part a, to find the percent of the purchase price that the sale price represents, we divide the sale price by the purchase price and then multiply by 100 to convert the decimal to a percent.

Thus, the calculation is: (96 / 60) × 100 = 160%.

This means the sale price is 160% of the purchase price.

For part b, applying the same percent increase to a new purchase price of $45 for jackets, we multiply 45 by 1.6 to get the increased sale price of the jackets.

The resulting sale price for each jacket is $45 × 1.6 = $72.00.

To reach a sales goal of at least $250, we divide the goal by the new sale price per jacket. $250 / $72.00 = 3.47222 jackets.

Since only whole jackets can be sold, the owner must buy and sell 4 jackets to meet the sales goal.

Answer 2

160%

Explanation:

The owner buys the coats at a purchase price= $60

He sells the coats for a selling price= $96

Now, the question is:

The selling price $96 is what percentage of the purchase price $60

step 1: 96= x% of 60

step 2: 96= (x/100)*60

step 3: 96= 6x/10

step 4: 960/6 = x

step 5: x = 160%