A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially ?
Let the initial quantity of the mixture be x liters.
The ratio of A to B is 7:5, so the amount of A initially = (7/12) × x.
After removing 9 liters, the new amount of A becomes (7/12) × (x - 9).
After adding 9 liters of B, the new ratio becomes 7:9.
Solving this equation gives x = 36, so the initial amount of A = (7/12) × 36 = 21 liters.
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Suggested Test Series
Two alloys of gold and copper are mixed in the ratio 2:3. The first alloy has gold and copper in the ratio 4:1, and the second in the ratio 1:4. What is the ratio of gold to copper in the resulting mixture?
From a 50-litre mixture containing alcohol and water in the ratio 3:2, 10 litres are removed and replaced with water.
What is the new ratio of alcohol to water?
There are total 24 hats of blue and red colour. The average cost of blue colour hats is Rs. 65. The average cost of red colour hats is Rs. 35. The average cost of all the hats is Rs. 50. What is the number of red colour hats?
A 120-litre solution of salt and water contains 25% salt. If 30 litres of water are added, what is the new percentage of salt in the solution?
A solution contains 30% of substance S and 70% of substance T by weight. If the solution has a total mass of 1200 grams, and 300 grams of substance S are added to it, what is the new percentage concentration of substance S in the solution?
XYZ mixes 64 kg of rice worth Rs.85 per kg with 36 kg of rice worth Rs.105 per kg. At what rate should he sell the mixture to gain 10%? (In Rs.)
A can contains 180 litres of rose milk at Rs.40.5 per litre. How much water which is free of cost must be added to this can so that the cost of rose milk reduces to Rs.30 per litre? (In litres)
Two vessels, containing 23 liters and 35 liters quantity of solution, have milk and water in the ratio of 11:12 and 22:13 respectively. If the solutions are mixed with each other, then how many liters of water has to be added in the final solution to make the resulting solution in the ratio 1:1? (In litres)
Surya rice = ₹40/kg, Chandra rice = ₹50/kg mixed in ratio 3:2. Find mixture price.
The ratio of acid and water in solution A and solution B is 7: 8 and 9: 11, respectively. 3 litres of solutionA is mixed with 4 litres of solution B and 1 litre water is also added to it. What is the percentage of acid inthe resulting solution?
