Unit operating expenses for an item costing $80 are estimated at 50% of cost, and the desired operating profit is 15% of cost.a. Determine the selling price. (Do not round intermediate calculations and round your final answer to 2 decimal places.)Selling price $ b. Determine the rate of markup on cost. (Do not round intermediate calculations and round your final answer to 1 decimal place.)Markup on cost %c. Determine the rate of markup on selling price. (Do not round intermediate calculations and round your final answer to 1 decimal place.)Markup on selling price %
Question
Unit operating expenses for an item costing b. Determine the rate of markup on cost. (Do not round intermediate calculations and round your final answer to 1 decimal place.)Markup on cost %c. Determine the rate of markup on selling price. (Do not round intermediate calculations and round your final answer to 1 decimal place.)Markup on selling price %
Solution
a. Determine the selling price.
First, calculate the total cost which includes the unit cost and operating expenses. The operating expenses are 50% of the unit cost, so:
Operating expenses = 50/100 * 40
The total cost is the sum of the unit cost and operating expenses:
Total cost = 40 = $120
The desired operating profit is 15% of the unit cost, so:
Operating profit = 15/100 * 12
The selling price is the sum of the total cost and the operating profit:
Selling price = 12 = $132
b. Determine the rate of markup on cost.
The rate of markup on cost is the operating profit divided by the unit cost, expressed as a percentage:
Markup on cost = (80) * 100 = 15%
c. Determine the rate of markup on selling price.
The rate of markup on selling price is the operating profit divided by the selling price, expressed as a percentage:
Markup on selling price = (132) * 100 = 9.1%
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