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If the selling price of a bed is 2-times of initial, then the profit is 11-times of initial. Find the initial profit percentage.

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  1. 9 %
  2. 9 %
  3. 11 %
  4. 11 %

Answer (Detailed Solution Below)

Option 4 : 11 %
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<style type="text/css">.math-tex { font-family: "Times New Roman", serif; font-style: italic; } </style><p><strong>Formula used:</strong></p><p>Profit = SP - CP</p><p>Profit Percentage = (Profit /CP) × 100</p><p><strong>Calculation:</strong></p><p>Let CP = C, Initial Profit = P</p><p>Initial SP = C + P<br> <br> New SP = 2 × Initial SP = 2 × (C + P)<br> <br> <span>New Profit = 11 × Initial Profit = 11P</span><br> <br> New Profit = New SP - CP</p><p>⇒ 11P = 2(C + P) - C</p><p>⇒ 11P = 2C + 2P - C</p><p>⇒ 11P = C + 2P</p><p>⇒ C = 9P</p><p>Initial Profit Percentage = (P/C) × 100</p><p>⇒ (P/9P) × 100</p><p>⇒ (1/9) × 100</p><p>⇒ 11(1/9)%</p><p><strong>∴ The initial profit percentage is </strong><span>11(1/9)%</span></p> - pehlivanlokantalari.com
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