Average Mixture & Alligation Level-3 Quiz-2

1. In what ratio should Ram mix two varieties of barley costing Rupees 20 and Rupees 24 per kg so that by selling it at Rupees 27.60 per kg Ram makes a profit of 20%?

2. 1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol. If x > y, how many integer values can x take?

3. There are three sets of numbers A, B and C. The averages of the elements of A, B, C are 31, 38, 35, respectively. The average of the elements of A and B is 35 and the average of the elements of B and C is 37. Find the average of all the elements of A, B, and C.

4. There are 10 boys in a group. Four boys leave and five boys join the group. It is found that the average weight of the group remains unchanged. If the average weight of the boys who leave is ‘b’, that of the boys who join is ‘c’and the average weight of the initial group is ‘x’, which of the following can be true?

5. A grocer has two varieties of rice, Rice A and Rice B costing Rupees 10 per kg and Rupees 12 per kg, respectively. He sells the total mixture of Rice A and Rice B having 420 kg of Rice A for Rupees 25,200 with a profit margin of 20%. How much quantity of rice B is present in the mixture sold?

6. Two vessels A and B of equal volume contain milk and water in the ratio 3 : 2 and 2 : 1 to their brim respectively. Two liters of the solution from vessel A and three liters of the solution from vessel B are poured into a big empty vessel C. If the solution in C occupied 40% of the capacity of C, what proportion of the volume of vessel C should be the volume of water that shall be added so that the ratio of milk and water in vessel C becomes 1 : 1?

7. In a school there are a total of 50 students in class X, who are divided into three sections A, B and C. Sections A and B have an equal number of students. All the students of the class wrote a test. The average marks obtained by the students of sections A and B together is 52.5. The average
marks obtained by the students of sections A and C together is 60. The average marks obtained by the students of sections B and C together is 70. The average marks obtained by the students of sections A, B and C together is 60. How many students are there in section C?

8. School X has 3 classes, A, B and C. The average score of Class B is 16 more than the average score of class C. The strengths of Classes A, B and C are in the ratio 2:3:5, respectively. If the average score of the school 2 less than the average score of Class A, Find the difference between average of class A and class C.

9. A vessel contains a solution of milk and water containing 90% milk. 10 liters of solution is withdrawn from the vessel and replaced by water. The procedure is repeated one more time. If the final quantity of milk in the vessel is 72.9 liters, then find the initial quantity of the solution
in the vessel (in liters)

10. Twelve years ago, the average of the ages of the members of a joint family having ten members was 25 years. Four years later, a member aged 50 years died and a child was born in the family that year. Four years after that, another member aged 50 years died and another child was born. Find the present average age of the members of the family (in years).