Mixture and Alligation

A solution of sugar syrup has 15% sugar. Another solution has 5% sugar. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% sugar?

In what ratio, water must be mixed with fruit juice costing Rs. 24 per liter so that the juice would be worth of Rs.20 per liter?

Box A contains wheat worth Rs. 30 per kg and box B contains wheat worth Rs. 40 per kg. If both A and B are mixed in the ratio 4 : 7 then the price of mixture per kg is :

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

How many litres of liquid A was contained by the can initially?

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:

8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of water is 16 : 65. How much wine did the cask hold originally?

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs. 20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is:

In what ratio must a grocer mix two varieties of pulses costing Rs. 15 and Rs. 20 per kg respectively so as to get a mixture worth Rs. 16.50 kg?

How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?

In what ratio must water be mixed with milk to gain 16 % on selling the mixture at cost price?

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

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?

Tea worth of Rs. 135/kg &Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?

A merchant has 1000 kg of sugar part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The Quantity sold at 18% profit is

A can contains a mixture of two liquids A and B is 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?

A vessel is filled with liquid, 3 parts of which are water and 5 parts of syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A mixture of 150 liters of wine and water contains 20% water. How much should more water be added so that water becomes 25% of the new mixture?

The ratio of expenditure and savings is 3 : 2 . If the income increases by 15% and the savings increases by 6% , then by how much percent should his expenditure increases?

The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is:

How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?

The cost of Type 1 rice is Rs. 15 per kg and Type 2 rice is Rs.20 per kg. If both Type 1 and Type 2 are mixed in the ratio of 2 : 3, then the price per kg of the mixed variety of rice is

A container contains 40 liters of milk. From this container, 4 liters 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?

From a container, 6 liters of milk was drawn out and was replaced by water. Again 6 liters of the mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of the mixture is:

The diluted wine contains only 8 liters of wine and the rest is water. A new mixture whose concentration is 30%, is to be formed by replacing wine. How many liters of the mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture?

Two vessels contain 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?

In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If the ratio of the milk and water is to be 1 : 2, then the amount of water to be further added
must be?

A person has a chemical of Rs. 25 per liter. In what the ratio should water be mixed in that chemical so that after selling the mixture at Rs. 20 per liter he may get a profit of 25%?

How many kgs of sugar costing Rs. 5.75 per kg should be mixed with 75 kg of cheaper sugar costing Rs. 4.50 per kg so that the mixture is worth Rs. 5.50 kg?

Three vessels whose capacities are in ratio 5 : 3 : 2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 3: 2, 2 : 1 and 3 : 1 respectively. Find the percentage of water in the new mixture obtained when one-third of first, half of second and two-third of the third vessel is taken out and mixed together?

The wheat sold by a grocer contained 10% low-quality wheat. What quantity of good quality wheat should be added to 150 kg of wheat so that the percentage of low-quality wheat becomes 5%?

There is a mixture of alcohol and water of 120 liters. The ratio of alcohol to water is 5 : 3. If 30% of the mixture is taken out and the same amount of water is
added then find the new ratio of alcohol and water in the mixture.

A vessel contains 100 liters mixture of milk and water in the respective ratio of 22 : 3. 40 liters of the mixture is taken out from the vessel and 4.8 liters of pure milk and pure water each is added to the mixture. By what percent quantity of water is less than the quantity of milk?

In a vessel, there is a mixture of apple, orange and mango juices in the ratio of 3 : 5 : 4 respectively. A quantity of 12 litres from the mixture is replaced by 8 litres of apple juice. Thereafter the quantities of apple and orange juices in the resultant mixture become same. Find out the initial quantity of mixture in the vessel.

A 20 liters mixture contains milk and water in the respective ratio of 3 : 2. Then 10 liters of the mixture is removed and replaced with pure milk and the operation is repeated once more. At the end of the two removals and replacements, what is the ratio of milk and water in the resultant mixture respectively?

A jar has 60 litres of milk. From the jar, 12 litres of milk was taken out and replaced by an equal amount of water. If 12 litres of the newly formed mixture is taken out of the jar, what is the final the quantity of milk left in the jar?

In a vessel there is a certain quantity of the mixture of milk and water in the ratio 5 : 1 respectively. 24 liters of the mixture is taken out and the same quantity of milk is added to the vessel. The ratio of milk and water now becomes 13 : 2 respectively. Again 15 liters of the mixture is taken out. What is the quantity of milk in the resulting mixture? (in litres)

Two vessels A and B contains milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing milk is

A producer of rice mixes two varieties of rice from two fields one costing Rs 18 per kg and another Rs. 20 per kg in the ratio 5 : 3. If he sells the mixed variety at Rs. 21 per kg, then his gain percent is?

18 liters of pure water was added to a vessel containing 80 liters of pure milk. 49 liters of the resultant mixture was then sold and some more a quantity of pure milk and pure water was added to the vessel in the respective ratio of 2 : 1. If the resultant respective ratio of milk and water in the vessel was 4 : 1, what was the quantity of pure milk added in the vessel? (in liters)

In what ratio milk & water should be mixed so that after selling this mixture at its cost price there is a profit of  11\(\frac{1}{9} \)% ?

In a pot, the ratio of milk and water is 4 : 1. In another pot, the ratio of milk and water is 7 : 4. In what ratio mixture should be taken from both mixtures to make final mixture so that in final mixture the ratio of milk and water be 41 : 14?

600 g of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

A milk seller has milk of Rs 100 per liter, in what the ratio should water be mixed in that milk so that after selling the mixture at Rs 80 per liter, he may get a profit of 50%?

If a mixture contains water and alcohol in the ratio 2:3, what is the percentage quantity of water in the mixture?

In a tennis tournament having 125 entrance, a player is eliminated whenever he losses a match. How many matches are played in entire tournaments?

Anil invested an amount for three years at a simple interest rate of 9% p.a.He got an amount of Rs.19,050 at the end of three years. What principal amount did he invest?

How many pieces of 8.6 metres length cloth can be cut out of a length of 455.8 metres cloth?

The sum of the ages of a father and his son is 4 times the age of the son. If the average age of the father and the son is 28 years, what is the son’s age?

If the number of barrels of oil consumed doubles in a 10-year period and if B barrels were consumed in the year 1940, what multiple of B will be consumed in the year 2000?

Jar A contains ‘X’ ml mixture of milk and water in the respective ratio of 3 : 2. Jar B contains ‘x’ ml mixture of milk