an optical mouse originally cost $31.85. before it was removed from the store, it underwent the following…

an optical mouse originally cost $31.85. before it was removed from the store, it underwent the following changes in price.\n|27%|markup|\n|22%|markup|\n|25%|markdown|\n|39%|markup|\n|16%|markdown|\nwhat is the final price of the optical mouse? round all dollar values to the nearest cent.\na. $46.82\nb. $43.21\nc. $35.33\nd. $26.75

an optical mouse originally cost $31.85. before it was removed from the store, it underwent the following changes in price.\n|27%|markup|\n|22%|markup|\n|25%|markdown|\n|39%|markup|\n|16%|markdown|\nwhat is the final price of the optical mouse? round all dollar values to the nearest cent.\na. $46.82\nb. $43.21\nc. $35.33\nd. $26.75

Answer

Explanation:

Step1: First markup by 27%

The new price after the first markup is $31.85\times(1 + 0.27)=31.85\times1.27 = 40.4495$.

Step2: Markup by 22%

The price after the second markup is $40.4495\times(1 + 0.22)=40.4495\times1.22 = 49.34839$.

Step3: Markdown by 25%

The price after the markdown is $49.34839\times(1 - 0.25)=49.34839\times0.75 = 37.0112925$.

Step4: Markup by 39%

The price after the third markup is $37.0112925\times(1 + 0.39)=37.0112925\times1.39 = 51.445696575$.

Step5: Markdown by 16%

The final price is $51.445696575\times(1 - 0.16)=51.445696575\times0.84 = 43.214385123\approx43.21$.

Answer:

b. $43.21$