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\(\frac{2}{11}\) %
  2. 9 %
  3. 11 %
  4. 11\(\frac{1}{9}\) %

Answer (Detailed Solution Below)

Option 4 : 11\(\frac{1}{9}\) %
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Detailed Solution

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Formula used:

Profit = SP - CP

Profit Percentage = (Profit /CP) × 100

Calculation:

Let CP = C, Initial Profit = P

Initial SP = C + P

New SP = 2 × Initial SP = 2 × (C + P)

New Profit = 11 × Initial Profit = 11P

New Profit = New SP - CP

⇒ 11P = 2(C + P) - C

⇒ 11P = 2C + 2P - C

⇒ 11P = C + 2P

⇒ C = 9P

Initial Profit Percentage = (P/C) × 100

⇒ (P/9P) × 100

⇒ (1/9) × 100

⇒ 11(1/9)%

∴ The initial profit percentage is 11(1/9)%

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