SOLUTION: A stall in Divisoria bought 225 blouses at PhP15,750. 25 of these blouses were sold at a mark-up of 150% based on cost, 175 pieces were sold at a mark-up of 75% of the cost, 10 pi

Question 1109800: A stall in Divisoria bought 225 blouses at PhP15,750. 25 of these blouses were sold at a mark-up of 150% based on cost, 175 pieces were
sold at a mark-up of 75% of the cost, 10 pieces were sold during a clearance sale at PhP80 each and the remaining blouses were sold at
20% below cost. Assuming that the blouses all cost the same,
A. How much did each blouse cost?
B. What was the amount of mark-up realized on the purchase?
C. What was the percent mark-up based on the selling price?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
A. Assuming that the blouses all cost the same, the cost of each blouse is
15750 / 225 = 70.
B. Let's take these one by one.
25 of the blouses were sold up at a markup of 150%. If something is marked up 100%, it's double the price right? In this case, it's even more. Multiply the number of blouses (25) by 2.5 (the 1 is the original cost, 1.5 is the markup) by 70 (the cost) to get 4375.
175 blouses were sold at 1.75 x 70 = 21437.5
10 blouses were sold at 80, so 10x80 = 800
That's 175+25+10 or 210. That leaves 15 remaining. 15 were sold at .80 x 70 (a markdown of 20% is 80% of the cost) = 840
Now add them together. 4375 + 21437.5 + 800 + 840 = 27452.5
Subtract the original cost of 15750 to get a profit of 11702.5 (the markup).
C. What is the percent markup? Put another way, what percent of 15750 is 27452.5? I get 74% (rounded - more exact is 74.3015873)
.
Now that you can see the steps, check my math before you submit.
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