Mixture and Allegations-Test 1

A vessel is filled with liquid, which is 3 parts water and 5 parts milk. How much of the liquid should be drawn of and replaced by water to make it half water and half milk?

Milk and water are in a Can A as 4:1 and in Can B as 3:2. For Can C, if one takes equal
quantities from A and B, find the ratio of milk to water in C.

A mixture contains alcohol and water in the ratio 3:2. If it contains 3 liters more alcohol
than water, the quantity of alcohol in the mixture

Three types of Rice of Rs. 1.27, Rs. 1.29 and Rs. 1.32 per kg are mixed together to
be sold at Rs. 1.30 per kg. In what ratio should this rice be mixed?

A dishonest milkman professes to sell his milk at cost price but he mixes it with water and thereby gains 25%. The percentage of water in the mixture is:

A container contains 50 liters of milk. From this container 5 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?

An alloy of gold and copper weights 50 g. It contains 80% gold. How much gold
should be added to the alloy so that percentage of gold is increased to 90?

A trader sells total 315 TV sets. He sells black and white TV sets at a loss of 6% and
color TV sets at a profit of 15% thus he gains 9% on the whole. What are the no. of
black and white sets which he has sold?

4 kg of a metal contains 1/5 copper and rest in Zinc. Another 5 kg of metal contains
1/6 copper and rest in Zinc.The ratio of Copper and Zinc into the mixture of these
two metals:

Rs. 69 were divided among 115 students so that each girl gets 50 paise less than a boy. Thus each boy received twice the paise as each girl received. The no. of girls in the class is:

A shopkeeper purchase two quantities of rice at the rate of Rs. 280/kg and Rs.
260/kg . In 52 kg of the second quantity, how much rice of the first quantity should
be mixed so that by selling the resulting mixture at Rs.300/ kg , he gains a profit of
25%.

If the average weight of the whole class is 50 kg. And the average weight of boys in
the class is 30 kg and the average weight of girls in the same class is 22 kg. What could
be the possible strength of boys and girls in the class respectively?

A woman travels 200 km in 5 hours in two parts. In the first part of the journey, she
travels by car at the speed of 50 km/hr . In the second part of the journey , she travels
by bus at the speed of 30 km/hr . How much distance did she travel by bus?

Somnath bought two different kinds of oil, one is soya oil and another is olive
oil.There are two mixtures of these two oils . In the first mixture the ratio of the soya and olive oil is in the ratio of 3 : 4 and in the second mixture the ratio of the soya
and olive oil is 5 : 6 . If he mixes these two mixtures and makes a third mixture of 36
liters in which the ratio of the soya oil and olive oil is 4 : 5. Find the quantity of the
second mixture that is needed to make 36 liters of third type of mixture.

A vessel which contains 100 liters of salt and sugar solution in the ratio of 22 : 3 .
From the vessel 40 liters of mixture is taken out and 4.8 liters of pure salt solution and pure sugar solution , both are added to the mixture . What is the percentage of the
quantity of sugar solution in the final mixture less than the quantity of salt solution?

The average marks of the students in four sections P, Q ,R and S together is 60% .
The average marks of the students of P, Q, R and S separartely are 45% , 50%, 72%
and 80% respectively. If the average marks of the students of P and Q together is 48%
and that of the students of Q and R is 60%. What is the ratio of number of students in
sections A and D ?

A shopkeeper has two types of wheat . The percentage of first type of wheat is 80%
and the percentage of second type of wheat is 60%. If he mixes 28 kg of first type of
wheat to the 32 kg of second type of wheat , then find the percentage of resultant wheat
in the mixture.

From a container of wine , 8 liters of wine is drawn and replace the same quantity
with water. This is performed three more times, now the ratio of the quantity of wine
to that of water in the container becomes 16 : 65. What is the initial quantity of wine in
the container?

The price of the diesel is Rs. 70 per litre and the price of the petrol is Rs. 40 per
litre. If the profit after selling the mixture at Rs. 75 per litre be 25 %. Find the ratio of
the diesel and petrol in the mixture.

There are two factories, one in India and another in US. Mr. Anish purchased these
two factories for total 80 crores. Later on, he sold the Indian factory at the rate
of 16% profit and the US factory at 32% profit, thereby he gained 20%. What is the
selling price of the factory?

A chemist has 10L of a solution that is 10% nitric acid by volume. He wants to dilute
the solution to 4% strength by adding water. How many litres of water must be add?

A bottle contains (3/4) of milk and the rest water. How much of the mixture must be
taken away and replaced by an equal quantity of water so that the nixtude has half milk and half water?

P and Q are two alloys of gold and copper prepared by mixing metals in the ratio 7 : 2
and 7 : 11 resp. If equal quantities of the alloys are melted to form a third alloy R, Find the ratio of gold and copper.

A container has 30 L of water. If 3 L of water is replaced by 3 L of spirit and this
operation is repeated twice , what will be the quantity of water in the new mixture?

Two barrels contain a mixture of ethanol and gasoline. The content of the ethanol is
60% in the first barrel and 30% in the second barrel. In what ratio must the
mixtures from the first and the second barrels be taken to form a mixture
containing 50% ethanol?