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Important Questions on Differential Equations

EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations

A 50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find a new amount of water in the mixture.
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
How many liters of water should be added to a 30 L mixture of milk and water containing milk and water in the ratio 7 : 3, such that the resultant mixture has 40% water in it?
EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
Two bottles of the same capacity are 35% and 3313% full of orange juice, respectively. They are filled up completely with apple juice and the contents of both the bottles are emptied into another vessel. The percentage of apple juice in the mixture is:
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
A can contain a mixture of two liquids A and B in the ratio 7: 5. When 9 L of mixture is drain 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?
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
How much quantity (in kg.) of wheat costing Rs.84 per kg. must be mixed with 81 kg. of wheat costing Rs.60 per kg. so that on selling the mixture at Rs.75.9 per kg, there is a gain of 15%?
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
Jar A contains "X" ltr of pure milk only. A 27 ltr mixture of milk and water in the respective ratio of 4:5 is added to Jar A. The new mixture thus formed in Jar A contains 70% milk. What is the value of X?
EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
In what ratio, sugar costing Rs.60 per kg be mixed with sugar costing Rs.42 per kg such that by selling the mixture at Rs.56 per kg there is a gain of 12%?
EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
In what ratio a man must mix pulses at ₹11.10 per kg with ₹15.20 per kg so as to make a mixture worth ₹13.20 per kg?
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
25 litres of a mixtures contains 30% of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is:
EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
A mixture contains wine and water in the ratio 3:2 and another mixture contains them in the ratio 4:5. How many litres of the latter must be mixed with 3 litres of the former so that the resultant mixture may contain equal quantities of wine and water?
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
A vessel contains a 32 litres solution of acid and water in which the ratio of acid and water is 5:3 if 12 litres of the solution are taken out and 712 litres of water and added to it, then what is the ratio of acid and water in the resulting solution?
EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?
EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
A vessel contains a solution of two liquids A and B in the ratio 5:3. When 10 liters of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes 10:11.The quantity (in litres) of the solution, in the vessel, was ______.
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
In a mixture of 60 litres, the ratio (by volume) of milk and water is 2 : 1. If X litres of water is added to the mixture, the ratio of milk and water becomes 1 : 2, then what is the value of X?
EASY
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
The ratio (by volume) of milk and water in a mixture is 2:1. If we add 12 litres of water in the mixture, then the ratio of milk and water becomes 4:3. What is the quantity of water in the new mixture?
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
Two varieties of sugar are mixed together in a certain ratio. The cost of the mixture per Kg is ₹0.50 less than that of the superior and ₹0.75 more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is:
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
In what ratio must a mixture of 15% spirit strength be mixed with that of 25% spirit strength to get a mixture of 21% spirit strength?
MEDIUM
Mathematics>Integral Calculus>Differential Equations>Applications of Differential Equations
18 litres of pure water was added to a vessel containing 80 litres of pure milk. 49 litres of the resultant mixture was then sold and some more quantity of pure milk and pure water was added to the vessel in the ratio of 2: 1. If the resultant ratio of milk and water in the vessel was 4: 1, what was the quantity of pure milk added in the vessel?