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An alloy is made by mixing metal A costing Rs. 2000/kg and metal B costing Rs. 400/kg in the ratio A ∶ B = 3 ∶ 1. What is the cost (in Rs.)…

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An alloy is made by mixing metal A costing Rs. 2000/kg and metal B costing Rs. 400/kg in the ratio A ∶ B = 3 ∶ 1. What is the cost (in Rs.) of 8 kilograms of this alloy?
  • A1600
  • B9800
  • C6400
  • D12800
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CCommunity
Since Ratio in which A and B are mixed = 3 ? 1

⇒ Weight of metal A in 8 kg of alloy = 3/4 × 8 = 6 kg

⇒ Weight of metal B in 8 kg of alloy = 1/4 × 8 = 2 kg

∴ Cost of 8 kg of the alloy = 2000 × 6 + 400 × 2 = Rs. 12800