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Let's assume the cost price of the software is represented by "C" dollars.
According to the given information, the computer company gives a discount of 10% off the marked price. This means the selling price (marked price after the discount) is 90% of the marked price.
Let's denote the marked price as "M" dollars. The selling price, after the 10% discount, is 90% of the marked price, which can be calculated as:
Selling price = M * (90/100) = 0.9M dollars
The company makes a profit of 11% on this sale, which means the profit is 11% of the cost price. The profit can be calculated as:
Profit = C * (11/100) = 0.11C dollars
We know that profit is equal to the difference between the selling price and the cost price:
Profit = Selling price - Cost price
Substituting the values we have:
0.11C = 0.9M - C
To find the percent by which the marked price exceeds the cost price, we can solve this equation for M - C and then express it as a percentage of the cost price:
0.11C + C = 0.9M
1.11C = 0.9M
M - C = M - (1.11C) 0.9M
Percentage = [(M - C) / C] * 100
Percentage [(0.9M) / C] * 100
Therefore, the marked price exceeds the cost price by approximately (0.9M / C) * 100 percent.
Added 6/24/2023 12:43:21 AM
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