everweek a store buys 30 gallons of milk at a cost of $1.58 per gallon. The store owner anticipates a 15% spoilage rate.in order to achieve a 20% markup based on selling prive what is the selling price per gallon

To find the selling price per gallon of milk, we need to calculate the total cost and markup amount first. Here is how you can do it step by step:

Step 1: Calculate the total cost of purchasing the milk:

The store buys 30 gallons of milk per week, and the cost per gallon is $1.58. So, the total cost is calculated as follows:

Total cost = Number of gallons × Cost per gallon
Total cost = 30 gallons × $1.58/gallon
Total cost = $47.40

Step 2: Calculate the spoilage rate:

The store owner anticipates a 15% spoilage rate, which means 15% of the purchased milk will be spoiled and cannot be sold. So, we need to subtract the spoiled milk from the total cost:

Spoilage amount = Total cost × Spoilage rate
Spoilage amount = $47.40 × 0.15
Spoilage amount = $7.11

Step 3: Calculate the cost of the sold milk:

The cost of the sold milk is the remaining cost after deducting the spoilage amount from the total cost:

Cost of sold milk = Total cost − Spoilage amount
Cost of sold milk = $47.40 − $7.11
Cost of sold milk = $40.29

Step 4: Calculate the markup amount:

The store owner wants a 20% markup based on the selling price. This markup percentage is calculated based on the cost of the sold milk:

Markup amount = Cost of sold milk × Markup rate
Markup amount = $40.29 × 0.20
Markup amount = $8.06

Step 5: Calculate the selling price per gallon:

The selling price per gallon can be found by adding the markup amount to the cost per gallon:

Selling price per gallon = Cost per gallon + Markup amount
Selling price per gallon = $1.58 + $8.06
Selling price per gallon = $9.64

Therefore, the selling price per gallon of milk would be $9.64.