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Two vessels contain the spirit of 0.5 and 0.75 concentrations. If 2 litres from the first vessel and 3 litres from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?
- a)15 : 17
- b)7 : 17
- c)13 : 7
- d)17 : 15
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Two vessels contain the spirit of 0.5 and 0.75 concentrations. If 2 li...
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Two vessels contain the spirit of 0.5 and 0.75 concentrations. If 2 li...
Given:
- First vessel has 0.5 concentration of spirit
- Second vessel has 0.75 concentration of spirit
- 2 litres is taken from the first vessel
- 3 litres is taken from the second vessel
To find:
- Ratio of spirit and water in the resultant solution
Solution:
First vessel:
- 0.5 concentration of spirit means out of 1 litre, 0.5 litre is spirit and 0.5 litre is water
- 2 litres is taken from the first vessel, so the amount of spirit taken = 2 * 0.5 = 1 litre
- The remaining amount of water in the vessel = 2 litres - 1 litre = 1 litre
Second vessel:
- 0.75 concentration of spirit means out of 1 litre, 0.75 litre is spirit and 0.25 litre is water
- 3 litres is taken from the second vessel, so the amount of spirit taken = 3 * 0.75 = 2.25 litres
- The remaining amount of water in the vessel = 3 litres - 2.25 litres = 0.75 litre
Resultant solution:
- Total amount of spirit = 1 litre + 2.25 litres = 3.25 litres
- Total amount of water = 1 litre + 0.75 litre = 1.75 litres
- Ratio of spirit to water = 3.25 : 1.75
- Dividing both sides by 1.75, we get the simplified ratio = 13 : 7
Therefore, the ratio of spirit to water in the resultant solution is 13 : 7.
- First vessel has 0.5 concentration of spirit
- Second vessel has 0.75 concentration of spirit
- 2 litres is taken from the first vessel
- 3 litres is taken from the second vessel
To find:
- Ratio of spirit and water in the resultant solution
Solution:
First vessel:
- 0.5 concentration of spirit means out of 1 litre, 0.5 litre is spirit and 0.5 litre is water
- 2 litres is taken from the first vessel, so the amount of spirit taken = 2 * 0.5 = 1 litre
- The remaining amount of water in the vessel = 2 litres - 1 litre = 1 litre
Second vessel:
- 0.75 concentration of spirit means out of 1 litre, 0.75 litre is spirit and 0.25 litre is water
- 3 litres is taken from the second vessel, so the amount of spirit taken = 3 * 0.75 = 2.25 litres
- The remaining amount of water in the vessel = 3 litres - 2.25 litres = 0.75 litre
Resultant solution:
- Total amount of spirit = 1 litre + 2.25 litres = 3.25 litres
- Total amount of water = 1 litre + 0.75 litre = 1.75 litres
- Ratio of spirit to water = 3.25 : 1.75
- Dividing both sides by 1.75, we get the simplified ratio = 13 : 7
Therefore, the ratio of spirit to water in the resultant solution is 13 : 7.
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Two vessels contain the spirit of 0.5 and 0.75 concentrations. If 2 litres from the first vessel and 3 litres from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?a)15 : 17b)7 : 17c)13 : 7d)17 : 15e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Solutions for Two vessels contain the spirit of 0.5 and 0.75 concentrations. If 2 litres from the first vessel and 3 litres from the second vessel are mixed, then what will be the ratio of the spirit and the water in the resultant solution?a)15 : 17b)7 : 17c)13 : 7d)17 : 15e)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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