Question
Download Solution PDFIf the selling price of a bed is 2-times of initial, then the profit is 11-times of initial. Find the initial profit percentage.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula 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)%
Last updated on Jul 10, 2025
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