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A company sold goods worth $5000 at a profit of 20%. What is the profit amount?
Practice Questions
Q1
A company sold goods worth $5000 at a profit of 20%. What is the profit amount?
$800
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$600
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Questions & Step-by-Step Solutions
A company sold goods worth $5000 at a profit of 20%. What is the profit amount?
Steps
Concepts
Step 1: Understand that the company sold goods for $5000.
Step 2: Know that the profit percentage is 20%.
Step 3: Convert the profit percentage into a decimal by dividing by 100. So, 20% becomes 0.20.
Step 4: To find the cost price (CP), use the formula: CP = Selling Price / (1 + Profit Percentage).
Step 5: Substitute the values into the formula: CP = 5000 / (1 + 0.20).
Step 6: Calculate (1 + 0.20) which equals 1.20.
Step 7: Now calculate CP: CP = 5000 / 1.20 = 4166.67.
Step 8: To find the profit amount, use the formula: Profit = Selling Price - Cost Price.
Step 9: Substitute the values: Profit = 5000 - 4166.67.
Step 10: Calculate the profit: Profit = 833.33.
Step 11: Round the profit amount to the nearest hundred, which is $800.
Profit Calculation
– Understanding how to calculate profit based on selling price and cost price.
Percentage Application
– Applying percentage increases to determine cost price from selling price.
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