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.
Important Questions from Percentage (Notes)
- Anubhav spent 14% of his income on electricity bills, 28% on rent and 18% on shopping. If $\frac{1}{4}$ th of the remaining amount is ₹5120, how much did he spend on electricity bills ?
- The total population of a town is 50,000. The number of males and females increases by 10% and 15% respectively and consequently the population of the town becomes 56,000. What was the number of males in the town?
- Gokul donates $17\%$ of his savings to old age home, $17\%$ of the savings to orphanage and $17\%$ of his savings to foundations for medical help. The remaining amount of Rs.$9800$ of savings is been deposited in bank. Find the salary of Gokul, if $50\%$ of the salary is his savings amount. (In Rs.)
- Which of the following multipliers will increase a given number by 25.3 % ?
If A earns \(33\frac{1}{3}%\) more than B, then how much percent does B earn less than A?
