Sean purchases office furniture from a wholesaler listed at $700, less discounts of 25% and 9%. She has overhead expenses of 16% of the cost and wants to have an operating profit of 50% of the cost. What is the maximum rate of markdown that she can offer so that she breaks even on the sale?

Let's break down the problem step by step.

### Step 1: Calculating the cost price after discounts
The original list price is \$700, and there are two successive discounts of 25% and 9%.

- First discount of 25%:
  \[
  700 \times (1 - 0.25) = 700 \times 0.75 = 525
  \]

- Second discount of 9%:
  \[
  525 \times (1 - 0.09) = 525 \times 0.91 = 477.75
  \]

Thus, the final cost price of the furniture is **\$477.75**.

### Step

Learn how to calculate the maximum markdown rate for breaking even on the sale of office furniture priced at $700 after discounts of 25% and 9%. Includes calculations for overhead costs, desired profit margin, and selling price. Suitable for students in Grades 10-12.

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Step 1: Calculating the cost price after discounts

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