A shopkeeper professes to sell his goods at the cost price, but he uses false weights with which he cheats by 10% while buying and by 15% while selling. His overall percentage of profit or loss is:

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  1. 5%
  2. 29.41%
  3. 22.72%
  4. 25%

Answer (Detailed Solution Below)

Option 2 : 29.41%
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CT 01: Ancient History - Stone Age & Indus Valley Civilization
10 Qs. 10 Marks 7 Mins

Detailed Solution

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Given:

Shopkeeper cheats 10% while buying ⇒ gets 1.1 kg instead of 1 kg

Shopkeeper cheats 15% while selling ⇒ gives only 0.85 kg instead of 1 kg

Formula used:

Profit% = (SP - CP) / CP × 100

Calculation:

Let CP of 1.1 kg = ₹100

⇒ CP of 1 kg = 100 ÷ 1.1 = 90.91

He sells 0.85 kg for ₹100

⇒ SP of 1 kg = 100 ÷ 0.85 = 117.65

⇒ Profit = 117.65 - 90.91 = 26.74

⇒ Profit% = 26.74 ÷ 90.91 × 100 = 29.41%

∴ The correct answer is 29.41%

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