Question : A container contains a 20 L mixture in which there is 10% sulphuric acid. Find the quantity of sulphuric acid to be added to it to make the solution contain 25% sulphuric acid.
Option 1: 2 L
Option 2: 3 L
Option 3: 4 L
Option 4: 5 L
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Correct Answer: 4 L
Solution : Initially, the quantity of sulphuric acid in the mixture is 10% of 20 L, which is 2 L. Let the quantity of sulphuric acid be added as $x$ L. After adding $x$ L of sulphuric acid, the total volume of the mixture becomes $(20 + x)$ L, and the total quantity of sulphuric acid becomes $(2 + x)$ L. The final mixture is to contain 25% sulphuric acid. So, $\frac{{2 + x}}{{20 + x}} = \frac{25}{100}$ $\therefore x=4$ Hence, the correct answer is 4 L.
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Question : A mixture of acid and water contains 20% acid. When 10 litres of water is added to the mixture, then the percentage of acid becomes 15%. What is the original quantity of the mixture?
Option 1: 30 litres
Option 2: 25 litres
Option 3: 40 litres
Option 4: 35 litres
Question : If solution A contains 10% acid and solution B contains 30% acid, what ratio of solution A to solution B should be mixed to obtain a mixture with 25% acid?
Option 1: 1 : 2
Option 2: 3 : 1
Option 3: 1 : 3
Option 4: 2 : 1
Question : A vessel contains 20 L of acid. 4 L of acid is taken out of the vessel and replaced by the same quantity of water. Next, 4 L of the mixture is withdrawn and again the vessel is filled with the same quantity of water. The ratio of the quantity of acid left in the vessel with the quantity of acid initially in the vessel is:
Option 1: 4 : 5
Option 2: 4 : 25
Option 3: 16 : 25
Option 4: 1 : 5
Question : A 40 litres mixture contains 25% alcohol and 75% water. If 10 litres of water are added to the mixture, the percentage of alcohol in the new mixture is:
Option 1: 27%
Option 2: 18%
Option 3: 20%
Option 4: 25%
Question : A mixture contains milk and water in a ratio of 5 : 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 : 2. Find the quantity of milk in the mixture.
Option 1: 7 litres
Option 2: 10 litres
Option 3: 5 litres
Option 4: 3 litres
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