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Q11. 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. Q11. A shopkeeper marks shirts at 25%25\% above cost price then allows a discount of 10%10\%. What is the profit or loss %\% ?
  1. Calculate Marked-up Price: Calculate the marked-up price.\newlineCost price = $100\$100 (assuming for simplicity)\newlineMark-up = 25%25\% of cost price\newlineMarked-up price = Cost price + (25%25\% of Cost price)\newline= $100\$100 + ($100×0.25\$100 \times 0.25)\newline= $100\$100 + $25\$25\newline= $125\$125
  2. Calculate Selling Price: Calculate the selling price after discount.\newlineDiscount = 10%10\% of marked-up price\newlineSelling price = Marked-up price - (10%10\% of Marked-up price)\newline= $125−($125×0.10)\$125 - (\$125 \times 0.10)\newline= $125−$12.5\$125 - \$12.5\newline= $112.5\$112.5
  3. Calculate Profit Percentage: Calculate the profit or loss percentage.\newlineProfit or Loss = Selling price - Cost price\newline= $112.5\$112.5 - $100\$100\newline= $12.5\$12.5\newlineProfit or Loss percentage = Profit or LossCost price×100\frac{\text{Profit or Loss}}{\text{Cost price}} \times 100\newline= $12.5$100×100\frac{\$12.5}{\$100} \times 100\newline= 12.5%12.5\%

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