put the following items in order from most expensive to least expensive.\n| item | base price | change |…

put the following items in order from most expensive to least expensive.\n| item | base price | change | direction |\n| blender | $29.73 | 9% | markdown |\n| hat | $14.16 | 77% | markup |\n| ink | $20.17 | 27% | markup |\n| heater | $28.46 | 22% | markdown |\na. blender, heater, ink, hat\nb. blender, ink, hat, heater\nc. ink, hat, blender, heater\nd. ink, heater, blender, hat\nplease select the best answer from the choices provided
Answer
Explanation:
Step1: Calculate the final price of the blender
A markdown of 9% means the blender's final - price is $(1 - 0.09)\times29.73=0.91\times29.73 = 27.0543$.
Step2: Calculate the final price of the hat
A markup of 77% means the hat's final - price is $(1 + 0.77)\times14.16=1.77\times14.16 = 25.0632$.
Step3: Calculate the final price of the ink
A markup of 27% means the ink's final - price is $(1 + 0.27)\times20.17=1.27\times20.17 = 25.6159$.
Step4: Calculate the final price of the heater
A markdown of 22% means the heater's final - price is $(1 - 0.22)\times28.46=0.78\times28.46 = 22.1988$.
Step5: Compare the final prices
$27.0543>25.6159>25.0632>22.1988$, so the order from most expensive to least expensive is blender, ink, hat, heater.
Answer:
B. blender, ink, hat, heater