SOLUTION: A computer company gives a discount of 10% on a new piece of software. If it makes a profit of 4%, what percent does the marked price exceed the cost price?
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Question 623234: A computer company gives a discount of 10% on a new piece of software. If it makes a profit of 4%, what percent does the marked price exceed the cost price? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! the original price of the product is y
the cost of the product is x.
they sell the product for .9*y (10% discount)
they make a 4% profit margin over the cost.
this means that the price they sell it for is equal to 1.04*x
this means that .9*y = 1.04*x
this means that y is equal to 1.04*x / .9 which makes y equal to 1.155555555....*x.
the original price was 15.55555555% over the cost.
the sale price is 4% over the cost.
what does this mean in real numbers?
let's assume the cost is 100 dollars.
the original price is 1.1555555555 * 100 dollars which makes the original price equal to 115.5555555555555 dollars.
sale is 10% off this price which makes the sale price equal to .9 * 115.5555555555 which makes the sale price equal to 104 dollars.
the profit is 4 dollars which is equal to 4% of 100 dollars.
the marked price exceeds the cost price by 4%
the original price exceeds the cost price by 15.555555555%
that's what i think you are asking.
let me know if what you wanted was something different.
