The cost of 25 items is the same as the revenue by selling X items. Find X, if the profit made in the transaction is 25%?Options3216.672520
Question
The cost of 25 items is the same as the revenue by selling X items. Find X, if the profit made in the transaction is 25%?Options3216.672520
Solution
The problem is a basic profit calculation problem. Here are the steps to solve it:
Step 1: Understand the problem The cost of 25 items is the same as the revenue from selling X items. The profit made in the transaction is 25%. We need to find the value of X.
Step 2: Set up the equation Let's denote the cost price of one item as C and the selling price of one item as S. According to the problem, we have the following two equations:
25C = XS (The cost of 25 items is the same as the revenue from selling X items)
S = 1.25C (The selling price is 125% of the cost price because there is a 25% profit)
Step 3: Substitute S from the second equation into the first equation 25C = X * 1.25C
Step 4: Solve for X Divide both sides of the equation by 1.25C, we get:
X = 25 / 1.25 = 20
So, the answer is 20.
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