A wholesaler sells a batch of goods for $1200, which includes a profit of 20%. W
Practice Questions
Q1
A wholesaler sells a batch of goods for $1200, which includes a profit of 20%. What was the cost price of the goods?
$1000
$1100
$1200
$1300
Questions & Step-by-Step Solutions
A wholesaler sells a batch of goods for $1200, which includes a profit of 20%. What was the cost price of the goods?
Step 1: Understand that the wholesaler sells goods for $1200, which includes a profit of 20%.
Step 2: Let the cost price of the goods be represented by 'x'.
Step 3: Since there is a profit of 20%, the selling price can be expressed as the cost price plus 20% of the cost price. This can be written as: Selling Price = x + 0.2x.
Step 4: Combine the terms: Selling Price = 1.2x.
Step 5: We know the selling price is $1200, so we can set up the equation: 1.2x = 1200.
Step 6: To find 'x', divide both sides of the equation by 1.2: x = 1200 / 1.2.
Step 7: Calculate the value: x = 1000.
Step 8: Therefore, the cost price of the goods is $1000.
Profit Calculation – Understanding how to calculate profit as a percentage of the cost price and how it relates to the selling price.
Algebraic Manipulation – Using algebra to solve for the unknown variable (cost price) in an equation derived from the selling price.