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Question

A mine supplies 10000 tons of copper ore, containing an average of 1.5 wt% copper, to a smelter every day. The smelter extracts 80% of the copper from the ore on the same day. What is the production of copper in tons/day?

The correct answer is
120

Copper Production Calculation from Ore

This solution outlines the steps to calculate the daily copper production based on the provided ore supply, copper content, and extraction efficiency.

Step 1: Calculate Total Copper Content in Ore

Determine the total amount of copper available in the daily ore supply.

  • Ore supplied daily: $10000$ tons
  • Average copper content: $1.5\%$ by weight
  • Total copper calculation: $ \text{Total Copper} = \text{Ore Supplied} \times \frac{\text{Copper Content}}{100} $ $ \text{Total Copper} = 10000 \text{ tons} \times \frac{1.5}{100} $ $ \text{Total Copper} = 150 \text{ tons} $

Therefore, the daily ore supply contains $150$ tons of copper.

Step 2: Calculate Actual Copper Production

Calculate the amount of copper extracted by the smelter, considering the extraction efficiency.

  • Total copper available: $150$ tons
  • Extraction efficiency: $80\%$
  • Copper production calculation: $ \text{Copper Production} = \text{Total Copper} \times \frac{\text{Extraction Efficiency}}{100} $ $ \text{Copper Production} = 150 \text{ tons} \times \frac{80}{100} $ $ \text{Copper Production} = 120 \text{ tons} $

The smelter produces $120$ tons of copper per day.

Conclusion

The daily production of copper is calculated by first finding the total copper in the ore and then applying the extraction efficiency.

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Important Questions from Percentage (Notes)

  1. In an election between two candidates, a candidate who got $30\%$ of the total votes is defeated by $15000$ votes. The number of votes obtained by the winning candidate is:-

  2. Which of the following multipliers will increase a given number by 25.3 % ?
  3. If A earns \(33\frac{1}{3}%\) more than B, then how much percent does B earn less than A?

  4. दो उम्मीदवारों के बीच एक कॉलेज चुनाव में, एक उम्मीदवार को कुल वैध मतों में से $55\%$ वोट मिले । $15\%$ वोट अवैध थे । यदि कुल वोट $15,200$ थे, तो दूसरे उम्मीदवार को कितने वैध वोट मिले ?
  5. एक शहर की जनसंख्या एक दशक में $1,75,000$ से बढ़कर $2,62,500$ हो गई । प्रति वर्ष जनसंख्या में औसत प्रतिशत वृद्धि है
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