If a man makes a profit of 25% on selling a shirt for $200, what was the cost pr

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Question: If a man makes a profit of 25% on selling a shirt for $200, what was the cost price?

Options:

Correct Answer: $160

Solution:

Let Cost Price = x. Selling Price = x + 25% of x = 1.25x. 1.25x = 200. x = 200/1.25 = 160.

If a man makes a profit of 25% on selling a shirt for $200, what was the cost price?

If a man makes a profit of 25% on selling a shirt for $200, what was the cost price?

Step 1: Understand that the selling price is $200.
Step 2: Know that the profit is 25%. This means the selling price is 125% of the cost price.
Step 3: Let the cost price be represented as 'x'.
Step 4: Write the equation for selling price: Selling Price = Cost Price + Profit.
Step 5: Since profit is 25% of cost price, we can write: Selling Price = x + 0.25x.
Step 6: Combine the terms: Selling Price = 1.25x.
Step 7: Set the equation equal to the selling price: 1.25x = 200.
Step 8: To find 'x', divide both sides of the equation by 1.25: x = 200 / 1.25.
Step 9: Calculate the value: x = 160.
Step 10: Conclude that the cost price of the shirt is $160.

Profit Calculation – Understanding how to calculate profit percentage and its relation to cost price and selling price.
Algebraic Manipulation – Using algebra to solve for the cost price based on the selling price and profit percentage.