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Originally posted by krishnasty on 09 Oct 2011, 01:28.
Last edited by Bunuel on 22 Jul 2014, 01:29, edited 1 time in total.
Renamed the topic and edited the question.
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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?
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
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?
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?
A. 30% B. 35% C. 40% D. 45% E. 50%
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# 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=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=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 --> 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)=12, which is 12/30*100=40% of # of items that are actually marked for sale.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.