A bedroom suite costs Town \& Country Furniture $$ 5, 000$ less $30 %$ and $15 %$ . The normal rate of markup on cost is $90 %$ . The suite is marked down $30 %$ in a Mid-Summer Sale.
4 What is the sale price? (Round your answer to the nearest cent.)
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What is the sale price? (Round your answer to the nearest cent.)
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Sale price
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Answer

$2833.33$ is the sale price of the bedroom suite.

Steps

Step 1 ：Let the original cost of the bedroom suite be $c$ .

Step 2 ：The original price after the $90 %$ markup is $1.9 c$ .

Step 3 ：The discounted price after the $5, 000$ discount is $1.9 c - 5000$ .

Step 4 ：Since the discounted price is $30 %$ and $15 %$ less than the original price, we have the equation: $1.9 c - 5000 = 0.85 c$ .

Step 5 ：Solving for $c$ , we get $c \approx 4761.90$ .

Step 6 ：The original price is $1.9 c \approx 9047.62$ .

Step 7 ：Finally, applying the $30 %$ Mid-Summer Sale discount, we get the sale price: $0.7 (9047.62) \approx 2833.33$ .

Step 8 ： $2833.33$ is the sale price of the bedroom suite.