Mixture and Allegations-Test 4

A dishonest milkman professes to sell his milk at cost price, but he mixes it with
water and thereby gains 33(1/3)%. The percentage of water in the mixture is?

A person has a chemical of Rs 15 per litre. In what ratio should water be mixed in that
chemical so that after selling the mixture at Rs 12/litre he may get a profit of 20%.

If 2 kg of metal, of which 1/3 is zinc and the rest is copper be mixed with 3 kg of
metal of which ¼ is zinc and the rest is copper, What is the ratio of zinc to copper
in the mixture?

A man has 90 pens. He sells some of these at a profit of 15% and the rest at 9% profit.
On the whole transaction he gets a profit of 11%. How many pens did he sell at 9%
profit?

A butler stole wine from a butt of sherry which contained 35% spirit and he replaced
what he had stolen by wine containing only 20% spirit. The butt was then 25% strong
only. How much of the butt did he steal?

A container contains some amount of milk. A milkman adds 200 ml of water for each
one liter of milk in the container. 6 liters of the mixture is sold from the container and
10 liters of milk is added to the remaining mixture. If now the ratio of milk to water in
container is 25 : 3, find the initial quantity of milk in the container.

A container contains 64 litres of pure milk. One-fourth of the milk is replaced by water. Again the operation is performed,and one-fourth of mixture is replaced by water. Find the final ratio of milk to water in the container.

In what ratio do the three varieties of rice costing Rs 6, Rs 8 and Rs 9 per 100 grams
should be mixed in order to obtain a mixture costing Rs 84 per kg?

Two containers A and B contain mixture of milk and water such that A contains 40% milk and B contains 22% milk. Some part of mixture in container A is replaced by
equal quantity of mixture from container B. How much quantity of the mixture was
replaced if final mixture contains 32% milk?

A container filled of milk-water mixture contains 75% milk. 5 litres of this mixture
is replaced by water. Next, 10 l of the mixture is replaced by water. If the final
percentage of milk in the container is 54%, find the initial quantity of mixture in the
container.

How much milk (in litres) costing Rs 60 per litres should be mixed with 35 litres of milk costing Rs 84 per litres so that there is a profit of 50% on selling the mixture at Rs
111 per litres?

A container whose capacity is 60 l contains milk and water in the ratio 3 : 2. How much
quantity of the mixture should be replaced with pure milk so that in the final mixture, ratio of milk to water is 7 : 3?

3 containers having capacities in the ratio 2: 3 : 1 contain mixture of liquids A and B such that the ratio of A to B in them is 2 :3, 1 : 4 and 3 : 7 respectively. If all the
three containers are emptied in a single container, what will be the ratio of A to B
in the final mixture?

12 liters of water is drawn out from a container full of water and replaced by
milk. Again 12 liters of mixture are drawn and the container is again filled with milk. The ratio of final quantity of water to milk in the container is 11 : 25. How much did
the container hold?

There are two mixtures such that they contain 75% milk and 80% milk respectively. Some amount from first mixture is mixed with twice the same
amount of second mixture. Find the percentage of milk in the resultant mixture?

A 56 litre mixture contains milk and water in the ratio of 5 : 2 . How much water should be added to the mixture so as make the resultant mixture containing 40% water in it?

A mixture of 30 liters contains milk and water in the ratio 7 : 3. 10 liters of the mixture is taken out and replaced with pure milk and the same operation is repeated one more time. Find the final ratio of milk to water in the mixture.

How much milk (in liters) costing Rs 50 per liters should be mixed with 18 liters of
milk costing Rs 56 per liters so that there is a profit of 25% on selling the mixture at Rs
65 per liters?

A 24 litres of milk and water mixture contains milk and water in the ratio 3 : 5.
What litres of the mixture should be taken out and replaced with pure milk so that the
final mixture contains milk and water in equal proportions?

25 litres are drawn from a cask full of wine and is then filled with water. This operation
is performed one more time. The ratio of the quantity of wine now left in cask to that
of the water is 36 : 85. How much wine the cask hold originally?

Out of 2100 kg wheat, some part is sold making 10% profit while the remaining part is sold making 16% profit. If there is an overall profit of 14%, what quantity was sold at 16% profit?

Container A and B contains water and alcohol in the ratio 1 : 3 and 3 : 2
respectively. How much amount of mixture from container A should be mixed with 30 L of mixture from container B, so that the resultant mixture contains water and
alcohol in the ratio 11 : 12?

The rice sold by a shopkeeper contains 15% low quality rice. What quantity of good quality rice should be added to 70 kg of rice so that percentage of low quality wheat becomes 7%?

Container A and B contains 25% and 50% water respectively. The rest is milk in both
the containers. How much amount should be mixed from container A to some amount
in to some amount of container B so as to get 12 liters of new mixture having water to
milk ratio 3 : 5?

A mixture contains A and B in the ratio of 5 : 3. 16 litres of this mixture is taken out
and 5 litres of A is poured in. the new mixture has ratio of A to B as 11 : 6. Find
the total original quantity of mixture.