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If the cost price of an item is $150 and it is sold for $180, what is the gain i

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Question: If the cost price of an item is $150 and it is sold for $180, what is the gain in percentage?

Options:

  1. 15%
  2. 20%
  3. 25%
  4. 30%

Correct Answer: 20%

Solution:

Gain = Selling Price - Cost Price = 180 - 150 = 30. Gain Percentage = (Gain/Cost Price) * 100 = (30/150) * 100 = 20%.

If the cost price of an item is $150 and it is sold for $180, what is the gain i

Practice Questions

Q1
If the cost price of an item is $150 and it is sold for $180, what is the gain in percentage?
  1. 15%
  2. 20%
  3. 25%
  4. 30%

Questions & Step-by-Step Solutions

If the cost price of an item is $150 and it is sold for $180, what is the gain in percentage?
  • Step 1: Identify the cost price of the item, which is $150.
  • Step 2: Identify the selling price of the item, which is $180.
  • Step 3: Calculate the gain by subtracting the cost price from the selling price: Gain = Selling Price - Cost Price = 180 - 150.
  • Step 4: Perform the subtraction: Gain = 30.
  • Step 5: To find the gain percentage, use the formula: Gain Percentage = (Gain / Cost Price) * 100.
  • Step 6: Substitute the values into the formula: Gain Percentage = (30 / 150) * 100.
  • Step 7: Calculate the division: 30 / 150 = 0.2.
  • Step 8: Multiply by 100 to find the percentage: 0.2 * 100 = 20%.
  • Step 9: The gain percentage is 20%.
  • Profit Calculation – Understanding how to calculate profit by subtracting the cost price from the selling price.
  • Percentage Calculation – Applying the formula for percentage gain, which involves dividing the gain by the cost price and multiplying by 100.
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