A faulty machine weighs 900 g as 1000 g. A shopkeeper uses this weighing machine to sell 45 kg of rice at Rs.65 per kg which he bought at Rs. 58 per kg. His overall profit percentage is approximately equal to:

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SSC GD Constable (2022) Official Paper (Held On : 08 Feb 2023 Shift 3)
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  1. 23.8%
  2. 18.9%
  3. 22.6%
  4. 24.5%

Answer (Detailed Solution Below)

Option 4 : 24.5%
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Detailed Solution

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Given

Faulty machine ratio = 900 g ∶ 1000 g

Quantity of rice sold = 45 kg

Selling price = Rs. 65 per kg

Buying price = Rs. 58 per kg

Formula used:

Profit% = [(Selling Price - Cost Price)/Cost Price] × 100.

Calculation:

⇒ Actual weight of rice the shopkeeper sells = (900/1000) × 45 kg = 40.5 kg

⇒ Total cost price = 40.5 kg × Rs. 58 per kg = Rs. 2349

⇒ Total selling price = 45 kg × Rs. 65 per kg = Rs. 2925

⇒ Profit percentage = [(2925 - 2349)/2349] × 100 = 24.5%

Therefore, the shopkeeper's overall profit percentage is approximately 24.5%.

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