a store is selling a green rug for $54.50 and a white rug for $31.85. the green rug is marked down by 12%…

a store is selling a green rug for $54.50 and a white rug for $31.85. the green rug is marked down by 12%, and the white rug is marked up by 16%. after the markup and markdown, which rug is more expensive, and how much more expensive is it? round all dollar values to the nearest cent.\na. the white rug is $1.09 more expensive than the green rug.\nb. the white rug is $5.35 more expensive than the green rug.\nc. the green rug is $1.44 more expensive than the white rug.\nd. the green rug is $11.01 more expensive than the white rug.

a store is selling a green rug for $54.50 and a white rug for $31.85. the green rug is marked down by 12%, and the white rug is marked up by 16%. after the markup and markdown, which rug is more expensive, and how much more expensive is it? round all dollar values to the nearest cent.\na. the white rug is $1.09 more expensive than the green rug.\nb. the white rug is $5.35 more expensive than the green rug.\nc. the green rug is $1.44 more expensive than the white rug.\nd. the green rug is $11.01 more expensive than the white rug.

Answer

Answer:

C. The green rug is $1.44 more expensive than the white rug.

Explanation:

Step1: Calculate green - rug's new price

The green rug's original price is $54.50 and it is marked down by 12%. The new price $P_{g}$ is calculated as $P_{g}=54.50\times(1 - 0.12)$. $P_{g}=54.50\times0.88=$47.96$.

Step2: Calculate white - rug's new price

The white rug's original price is $31.85 and it is marked up by 16%. The new price $P_{w}$ is calculated as $P_{w}=31.85\times(1 + 0.16)$. $P_{w}=31.85\times1.16=$36.946\approx$36.95$.

Step3: Find the price difference

The price difference $\Delta P=P_{g}-P_{w}$. $\Delta P = 47.96-36.95=$11.01$. So the green rug is $11.01 more expensive than the white rug.