A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?
Pick one
A) 30%  B) 35%  C) 40%  D) 45%  E) 50%
# of items 100 (assume);   # of items that should be marked for sale is x;   # of items that should be at the regular price is 100-x;   # of items that are actually marked for sale   0.3*100= 
<gadget id="calculator">  0.3*100</gadget>
<output>30</output>
30.   Let's see how many items are marked for sale:   20% of 100-x (20% of the items that are supposed to be marked with their regular prices (100-x) are now marked for sale);    100-55= 
<gadget id="calculator"> 100-55</gadget>
<output>45</output>
45% of x (since 55% of the items that are supposed to be marked for sale (x) are marked with regular prices, then the remaining 45% of x are marked for sale);   So, 0.2(100-x)+0.45x=30 --&gt; x=40 (# of items that should be marked for sale).   So, # of the items that are supposed to be marked with their regular prices is  0.2*(100-40)= 
<gadget id="calculator"> 0.2*(100-40)</gadget>
<output>12</output>
12, which is  12/30*100= 
<gadget id="calculator"> 12/30*100</gadget>
<output>40</output>
40% of # of items that are actually marked for sale.   Answer: 40%.
<result>C</result>
A new sales clerk in a department store has been assigned to mark sale items with red tags, and she has marked 30% of the store items for sale. However, 20% of the items that are supposed to be marked with their regular prices are now marked for sale, and 55% of the items that are supposed to be marked for sale are marked with regular prices. What percent of the items that are marked for sale are supposed to be marked with regular prices?