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A shopkeeper marks shirts at 25%25\% above cost price then allows a discount of 10%10\%. What is the profit or loss %\% ?

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Q. A shopkeeper marks shirts at 25%25\% above cost price then allows a discount of 10%10\%. What is the profit or loss %\% ?
  1. Assume Cost Price: Let's assume the cost price of the shirt is $100\$100 (it makes the math easier).
  2. Calculate Marked Price: First, calculate the marked price which is 25%25\% above the cost price. So, 25%25\% of $100\$100 is $25\$25.
  3. Add Marked Price: Add the $25\$25 to the original cost price to get the marked price: $100+$25=$125\$100 + \$25 = \$125.
  4. Calculate Discount: Now, the shopkeeper gives a 10%10\% discount on the marked price. 10%10\% of $125\$125 is $12.5\$12.5.
  5. Subtract Discount: Subtract the discount from the marked price to find the selling price: $125$12.5=$112.5\$125 - \$12.5 = \$112.5.
  6. Find Profit/Loss Percentage: To find the profit or loss percentage, we compare the selling price to the cost price. The selling price is $112.5\$112.5 and the cost price was $100\$100.
  7. Calculate Profit: Calculate the profit by subtracting the cost price from the selling price: $112.5$100=$12.5\$112.5 - \$100 = \$12.5.
  8. Calculate Profit Percentage: The profit percentage is the profit divided by the cost price, then multiplied by 100100. So, ($12.5/$100)×100=12.5%(\$12.5 / \$100) \times 100 = 12.5\%.

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