Answer:
The cost price of the item is $ 3,200, and the marked price of the item is $ 4,000.
Step-by-step explanation:
Since the marked price of an article is 25% above it's cost price, and when it is sold at a discount of 15% there is a gain of $ 200, to find the cost price of the article and the marked price of the article the following calculation must be performed:
X x 1.25 x 0.85 = X + 200
1.0625X = X + 200
6.25 = 200
100 = X
100 x 200 / 6.25 = X
20,000 / 6.25 = X
3,200 = X
3,200 x 1.25 = 4,000
Therefore, the cost price of the item is $ 3,200, and the marked price of the item is $ 4,000.
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