Initial Alcohol Calculation
The tank initially contains 120 litres of liquid.
The percentage of alcohol is 30%.
Initial amount of alcohol = $30\%$ of 120 litres
Initial alcohol = $\frac{30}{100} \times 120 = 0.30 \times 120 = 36$ litres.
Initial amount of non-alcohol = $120 - 36 = 84$ litres.
Mixture Replacement Calculation
30 litres of the mixture are removed.
Amount of alcohol removed = $30\%$ of 30 litres
Alcohol removed = $\frac{30}{100} \times 30 = 9$ litres.
Amount of non-alcohol removed = $30 - 9 = 21$ litres.
Amount of alcohol remaining = $36 - 9 = 27$ litres.
Amount of non-alcohol remaining = $84 - 21 = 63$ litres.
Total volume remaining = $120 - 30 = 90$ litres.
Addition of New Liquid
30 litres of another liquid are added.
This new liquid contains 50% alcohol.
Amount of alcohol added = $50\%$ of 30 litres
Alcohol added = $\frac{50}{100} \times 30 = 15$ litres.
Amount of non-alcohol added = $30 - 15 = 15$ litres.
Final Alcohol Percentage Calculation
Total alcohol in the resulting solution = Alcohol remaining + Alcohol added
Total alcohol = $27 + 15 = 42$ litres.
Total volume of the resulting solution = Volume remaining + Volume added
Total volume = $90 + 30 = 120$ litres.
Percentage of alcohol in the resulting solution = $\frac{\text{Total alcohol}}{\text{Total volume}} \times 100\%
Percentage of alcohol = $\frac{42}{120} \times 100\%
Percentage of alcohol = $\frac{420}{12}\% = 35\%$.
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?
- A seller mixes two varieties of rice costing Rs. 40/kg and Rs. 60/kg in a certain ratio and sells the mixture at Rs. 55/kg, gaining 10%. What is the ratio in which the two types are mixed?
- A mixture of 150 litres contains acid and water in the ratio 2:3. If 30 litres of the mixture is replaced with water, what will be the percentage of acid in the final mixture?
- A chemist prepares 60 liters of antiseptic solution by mixing two liquids 'A' and 'B' in the ratio 2:3. If the cost of 'A' is Rs. 45/liter and 'B' is Rs. 30/liter, what is the average cost per liter of the final solution?
- An alloy contains tin and copper in the ratio 5:3. A second alloy contains tin and copper in the ratio 3:1. What quantity of the first alloy must be mixed with 20 kg of the second alloy to produce a new alloy with tin and copper in the ratio 4:2?
- A 45-litre mixture of kerosene and diesel contains kerosene and diesel in the ratio 4:5. How much diesel must be added to make the ratio 4:6?
A container has 60 litres of a mixture of acid and water in the ratio 7:3. 20% of the mixture is taken out and replaced with water. This operation is repeated once more. What is the final percentage of acid in the mixture?
- A 30-litre container of pure milk undergoes a 6-litre removal and 6-litre water replacement process, repeated 4 times. Approximately how much original milk remains?
- A mixture contains 60% milk. If 20 liters of water is added to the 80-liter mixture, what is the new percentage of milk?
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:
