If the selling price of an article is doubled, then the profit becomes four times. What was the original profit percentage? 

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SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 4)
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  1. 75%
  2. 100%
  3. 50%
  4. 25%

Answer (Detailed Solution Below)

Option 3 : 50%
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Detailed Solution

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Given:

If the selling price of an article is doubled, then the profit becomes four times.

Formula used:

Profit = Selling price (S.P) - cost price (C.P)

Profit % = {profit (P) × 100}/C.P 

Calculation:

According to the question:

⇒ 4 × (S.P - C.P) = (2 × S.P - C.P)

⇒ 4 S.P - 4 C.P = 2 S.P - C.P

⇒ 2 S.P = 3 C.P

⇒ S.P/C.P = 3/2

Profit percentage = (P × 100)/C.P.

⇒ {(3 - 2) × 100}/2 = 100/2 = 50%.

∴ The correct answer is 50%.

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