Initial Mixture Composition
The total volume of the mixture is 150 litres.
The ratio of acid to water is 2:3.
Total ratio parts = 2 + 3 = 5.
- Initial volume of acid = \(\frac{2}{5} \times 150\) = 60 litres.
- Initial volume of water = \(\frac{3}{5} \times 150\) = 90 litres.
Mixture Replacement Calculation
30 litres of the mixture are removed.
- Amount of acid removed = \(\frac{2}{5} \times 30\) = 12 litres.
- Amount of water removed = \(\frac{3}{5} \times 30\) = 18 litres.
After removal:
- Remaining acid = 60 - 12 = 48 litres.
- Remaining water = 90 - 18 = 72 litres.
- Remaining total volume = 48 + 72 = 120 litres.
Final Mixture Composition
30 litres of water are added to the remaining mixture.
- Final acid volume = 48 litres.
- Final water volume = 72 + 30 = 102 litres.
- Final total volume = 48 + 102 = 150 litres.
Final Acid Percentage
Calculate the percentage of acid in the final mixture:
Percentage of Acid = \(\frac{\text{Final Acid Volume}}{\text{Final Total Volume}} \times 100\)
Percentage of Acid = \(\frac{48}{150} \times 100\)
Percentage of Acid = \(0.32 \times 100\) = 32%
The final percentage of acid in the mixture is 32%.
Similar Questions
- A bucket has 60 litres of a solution with sugar and water in the ratio 5:1. If 12 litres of the solution are replaced with water, what is the new ratio?
- A can contains 40 litres of oil at Rs. 50/litre. Another can contains 60 litres of oil at Rs. 60/litre. They are mixed, and 20 litres are sold at Rs. 70/litre. How much profit or loss does the seller make on this sale?
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Important Questions from Mixture and Alligation
My father is presently 25 years older than me. The sum of our ages 5 years ago was 39 years. Find my present age.
Rice worth ₹43/kg and ₹67/kg are mixed with a third variety in the ratio 2 : 1 : 5. If the mixture is worth ₹96/kg, the price (in ₹) of the third variety of rice per kg will be:
42 litres of milk at ₹25 per litre is mixed with 28 litres of milk at ₹40 per litre. Find the average price of the mixture.
15 kg of ₹10 per kg wheat is mixed with 5 kg of another type of wheat to get a mixture costing ₹30 per kg. Find the price (per kg) of the costlier wheat.
If a + b + c = 0, then the value of (a² + b² + 2ab) is equal to:
