If the cost price is 72% of the selling price, then what is the percentage of profit (correct to 2 decimal places)

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 3)
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  1. 38.89%
  2. 35.75%
  3. 32.25%
  4. 28.75%

Answer (Detailed Solution Below)

Option 1 : 38.89%
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Detailed Solution

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Given:

The cost price is 72% of the selling price.

Concept used:

Profit% = \({(Selling\ Price\ -\ Cost\ Price) \over Cost\ Price} \times 100\%\)

Calculation:

Let the selling price be 100x.

Cost price = 100x × 72% = 72x

Now, profit% = \(\frac {100x- 72x}{72x} \times 100\%\) ≈ 38.89%

∴ The profit percentage is 38.89%.

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