If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions Q represents the final price of the item?
Choose the most appropriate option.
A) Q=(10,000z + 100z(x – y) – xyz)/10,000  B) Q=(10,000z + 100z(y – x) – xyz)/10,000  C) Q=(100z(x – y) – xyz)/10000  D) (100z(y – x) – xyz)/10000  E) 10000 /(x – y)
-Q=(10,000z + 100z(x – y) – xyz)/10,000-   z=Original Price   x=MU   y=MD   New price with MU:   z(x/ 100+1)   New price with MD:   z[(x/100+1)(-y/100+1)]   Solvingâ€¦   =z[((x+100)/100)((-y+100)/100)]   =z(x100-xy+10000-100y)/10000   =(zx100-xyz+10000z-100yz)/10000 --&gt; similar to Q=(10,000z + 100z(x – y) – xyz)/10,000
<result>A</result>
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions Q represents the final price of the item?