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Dabio’s Doggie Dishes marks their Big Bad Bowl up by 145% and sells it for 29.40. What is the cost to the store for the bowl?

User Barth
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2 Answers

3 votes

Answer:

To calculate the original cost price of the bowl, you divide the selling price, $29.40, by 2.45, the sum of the original and the percentage markup. The cost to the store for the bowl is $12.00.

Step-by-step explanation:

To find the original cost price of the Big Bad Bowl for Dabio’s Doggie Dishes, we need to reverse a percentage markup calculation. The bowl is sold at a 145% markup, meaning the sell price is 145% higher than the cost price. If we let C represent the cost price, then the selling price would be C plus 145% of C, which can be expressed as C + 1.45C or 2.45C. The selling price is given as $29.40, so we set up the equation 2.45C = $29.40 to solve for C.

Let's solve for C:

2.45C = $29.40

C = $29.40 / 2.45

C = $12.00

Thus, the cost to the store for the bowl is $12.00.

User SirVer
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7.6k points
1 vote

Final answer:

The student's question about the original cost of an item before markup is a mathematics problem. By setting up an equation based on the markup percentage (145%) and the final price ($29.40), we find that the original cost to the store for the Big Bad Bowl is $12.00.

Step-by-step explanation:

The question involves calculating the original cost of an item before a markup was added. Dabio's Doggie Dishes increases the price of their Big Bad Bowl by 145% and sells it for $29.40. To find the cost to the store for the bowl, we need to work backwards from the sale price.

Let's define the original cost of the bowl as C. The markup is applied to this cost, which means the final price would be C plus 145% of C, or C + 1.45C = 2.45C. Since we know the final price is $29.40, we can set up the following equation:

2.45C = $29.40

To find the original cost C, we divide both sides by 2.45:

C = $29.40 / 2.45

C = $12.00

Therefore, the cost to the store for the Big Bad Bowl is $12.00.

User Hanna
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7.1k points