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A merchant sells two articles for $500 each. If he makes a profit of 10% on one

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Question: A merchant sells two articles for $500 each. If he makes a profit of 10% on one and a loss of 10% on the other, what is his overall profit or loss?

Options:

  1. Loss of $5
  2. Profit of $5
  3. No profit no loss
  4. Loss of $10

Correct Answer: Loss of $5

Solution:

Cost Price of first = 500/1.1 = 454.55, Selling Price = 500. Cost Price of second = 500/0.9 = 555.56, Selling Price = 500. Total Cost Price = 454.55 + 555.56 = 1010.11, Total Selling Price = 1000. Loss = 1010.11 - 1000 = 10.11.

A merchant sells two articles for $500 each. If he makes a profit of 10% on one

Practice Questions

Q1
A merchant sells two articles for $500 each. If he makes a profit of 10% on one and a loss of 10% on the other, what is his overall profit or loss?
  1. Loss of $5
  2. Profit of $5
  3. No profit no loss
  4. Loss of $10

Questions & Step-by-Step Solutions

A merchant sells two articles for $500 each. If he makes a profit of 10% on one and a loss of 10% on the other, what is his overall profit or loss?
  • Step 1: Understand that the merchant sells two articles for $500 each.
  • Step 2: Calculate the cost price of the first article, which has a profit of 10%. Use the formula: Cost Price = Selling Price / (1 + Profit Percentage). So, Cost Price of first = 500 / 1.1 = 454.55.
  • Step 3: Note that the selling price of the first article is $500.
  • Step 4: Calculate the cost price of the second article, which has a loss of 10%. Use the formula: Cost Price = Selling Price / (1 - Loss Percentage). So, Cost Price of second = 500 / 0.9 = 555.56.
  • Step 5: Note that the selling price of the second article is also $500.
  • Step 6: Calculate the total cost price by adding the cost prices of both articles: Total Cost Price = 454.55 + 555.56 = 1010.11.
  • Step 7: Calculate the total selling price by adding the selling prices of both articles: Total Selling Price = 500 + 500 = 1000.
  • Step 8: Determine the overall profit or loss by subtracting the total selling price from the total cost price: Loss = Total Cost Price - Total Selling Price = 1010.11 - 1000 = 10.11.
  • Profit and Loss Calculation – Understanding how to calculate profit and loss based on selling price and cost price.
  • Percentage Calculations – Applying percentage increases and decreases to determine cost prices from selling prices.
  • Total Cost and Selling Price – Summing up total cost prices and selling prices to find overall profit or loss.
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