A shopkeeper sells his goods by allowing 18% discount and still earns 30% profit. If he sells his goods by allowing 12% discount on the marked price, then what will be his profit percentage (correct to 2 decimal places)?

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 1)
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  1. 42.62%
  2. 35.45%
  3. 40.35%
  4. 39.51%

Answer (Detailed Solution Below)

Option 4 : 39.51%
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Detailed Solution

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Concept used:

CP/MP = (100 - Discount%) / (100 + Profit%)

Calculation:

According to the given concept,

CP/MP = (100 - 18)/(100 + 30) = 82/130 = 41/65

So, CP = 41 unit and MP = 65 unit

Now, he sells his goods at 12% discount, SP = 65 × 88/100 = 57.2

So profit% = (57.2 - 41)/41 × 100 = 39.51%

∴ The correct answer is 39.51%

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