Alligations & Mixtures Quiz || DUJAT 2021 || 22 September for IPM, CUET & BBA Exams Exams

Question 1

A shopkeeper has bought acid of Rs.30 per liter. In what ratio should water be mixed in acid so that after selling the mixture at Rs.21 per liter, he may get the profit of 50%.

Question 2

One container contains some milk and another container contains an equal quantity of water. To prepare a solution, 25 g of the milk is poured into the second container. Then,

of the so- formed solution is poured from the second container into the first. If the fluid in the first container is eight times that in the second, what quantity of water was taken initially?

Question 3

A mixture X of milk and water contains 87.5% of milk. After 12 litres of water is added, the milk content gets reduced to 50%. If another mixture Y contains the quantity of milk equal to the quantity of mixture X initially such that the ratio of milk to water is 4: 3, then find the quantity of water in mixture Y.

Question 4

A Shopkeeper bought 25 kg of rice at the rate of Rs. 40 per kg and 10 kg of rice at Rs. 50 per kg and mixed them. He sold 60% of the total quantity at the rate of Rs. 50 per kg. At what price per kg should he sell the remaining quantity to make 15% overall profit?

Question 5

The boiler tank in a chemical factory holds 105 litres. 5 tanks each having one-fifth the capacity of the boiler tank fill in ‘hard water’ at same rates in the boiler tank in 2 hours. The outlet of the two of smaller tanks work as inlet pipes and other two work as outlet and the fifth tank fill in the main ‘boiler’ at half of its efficiency.What is the number of hours taken to fill in the main boiler when all the pipes are opened at once?

Question 6

The boiler tank in a chemical factory holds 105 litres. 5 tanks each having one-fifth the capacity of the boiler tank fill in ‘hard water’ at same rates in the boiler tank in 2 hours. The outlet of the two of smaller tanks work as inlet pipes and other two work as outlet and the fifth tank fill in the main ‘boiler’ at half of its efficiency.Only three pipes are working, two at their full efficiency and the third one with half of its efficiency and all the three are acting as an inlet. If all the three are opened alternately with the latter pipe being first to be opened to fill the boiler such that each smaller tanks fills ‘hard water’ in the main boiler for equal time, then the number of hours taken to fill the boiler to half of its capacity is :

Question 7

In a plant, two tanks of 20% concentration and 5% concentration are present. When the level in 5% tank reaches 20%, a new batch is prepared from the 20% tank along with service water to get 80% level in 5% tank. Find the ratio of volume of 20% conc. fluid to the volume of service water required to achieve the same.

Question 8

There are 3 containers A, B and C which contain water, milk, and acid respectively in equal quantities. 10% of the content of A is taken out and poured into B. then 10% from B is transferred to C, from which again 10% is transferred to A. what is the proportion of milk in container A at the end of the process?

Question 9

When one liter of water is added to a mixture of acid and water, the new mixture contains 20% acid. When one liter of acid is added to the new mixture, then the resulting mixture contains 33

% acid. The percentage of acid in the original mixture was

Question 10

Two vessels A and B of capacity 100 liters and 270 liters contains mixture of milk and water in the ratio of 3:2 and 5:4. When 30% of the mixture from vessel A is taken out and added to vessel B. After mixing it thoroughly in vessel B 50% of the mixture from vessel B is taken out and added to vessel A then find the ratio of milk and water in vessel A after the two procedure?