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A shopkeeper has 12 kg of pure rice and 6 kg of impure rice. He mixes both type of rice but 3 kg of the mixture gets spoiled. If he again m…

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A shopkeeper has 12 kg of pure rice and 6 kg of impure rice. He mixes both type of rice but 3 kg of the mixture gets spoiled. If he again mixes 3 kg of impure rice to the remaining mixture and sell mixture at a price 20% above the cost price of pure rice. Then what is actual profit or loss percentage if cost of impure rice is 50% of cost of pure rice.
  • A20.75%
  • B30.91%
  • C35.21%
  • D32.27%
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Discussion 1

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CCommunity
Cost price of pure rice = Rs. x/kg

Cost price of impure rice = Rs. 0.5x

Selling price of the mixture = Rs. 1.2x

∴ Total cost price = 12 × x + (6 + 3) × 0.5x = Rs. 16.5x

∴ Total selling price = 18 × 1.2x = Rs. 21.6x

∴ Profit percentage,

⇒ [(21.6x - 16.5x)/16.5x] × 100%

⇒ 30.91%