Initial Mixture Composition
The initial mixture has a total volume of 13 litres.
- Percentage of petrol in the initial mixture = 40%
- Percentage of ethanol in the initial mixture = $100\% - 40\% = 60\%$
Calculate the initial volumes:
- Initial volume of petrol = $40\%$ of 13 L = $0.40 \times 13$ L = 5.2 L
- Initial volume of ethanol = $60\%$ of 13 L = $0.60 \times 13$ L = 7.8 L
Adding Pure Petrol
3 litres of pure petrol are added to the mixture.
- Volume of petrol added = 3 L
Resulting Mixture Composition
Calculate the new volumes after adding petrol:
- New volume of petrol = Initial petrol + Added petrol = $5.2$ L + 3 L = 8.2 L
- New volume of ethanol = Initial ethanol = 7.8 L (Ethanol volume remains unchanged)
- Total volume of the resulting mixture = Initial mixture volume + Added petrol volume = 13 L + 3 L = 16 L
Final Ethanol Percentage Calculation
Calculate the percentage of ethanol in the resulting mixture:
Percentage of ethanol = $\frac{\text{Volume of ethanol}}{\text{Total volume of mixture}} \times 100\%$
Percentage of ethanol = $\frac{7.8 \text{ L}}{16 \text{ L}} \times 100\%$
Percentage of ethanol = $0.4875 \times 100\% = 48.75\%$
Similar Questions
- If 50L of liquid containing 20% spirit is added with 10L of water then what would be the percentage of spirit in resulting mixture?
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Important Questions from Mixture Problems
A mixture of acid and water contains 20 percent acid. When 10 litres of water is added to the mixture, then the percentage of acid becomes 15 percent. What is the original quantity of mixture ?
A container contains 20 L mixture in which there is 10% sulphuric acid. Find the quantity of sulphuric acid to be added in it to make the solution to contain 25% sulphuric acid.
The ratio of milk to water in a 100 litres mixture is 2 ∶ 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times, What is the percentage of milk in final mixture ?
- 80% and 90% pure acid solutions are mixed to obtain 20 litres of 87% pure acid solution. Find the quantity (in litres) of 80% pure acid solution taken to form the mixture.
Some fruits are bought at a rate of 11 for Rs. 100 and an equal number at a rate of 9 for Rs. 100. If all the fruits are sold at a rate of 10 for Rs. 100, then what is the gain or loss percent in the entire transaction?
