Average Mixture & Alligation Level-2 Quiz-3

1. The average weight of a group of boys is 30 kg. After 1 more boy, weighing 62 kg, joins the group, the average weight of the group goes up by 2 kg. Find the original number of boys in the group.

2. Two varieties of rice are mixed in the ratio 2 : 5 and the mixture is sold at Rupees 12 per kg at a profit of 20%. If the first variety costs Rupees 7 per kg more than the second variety, find the cost per kg of the first variety.

3. The average weight of N boys in a group is 30 kg. If 5 boys with an average weight of 12 kg join the group the average weight would be the same as if 5 boys with an average weight of 36 kg leave the group. Find N.

4. The average marks obtained by 40 students of a class is 85. The difference between the marks obtained by the students who got the highest mark and the lowest mark is 108. If both these students are removed, the average falls by 1 mark. Find the highest mark.

5. If the average marks of first 3/4th of the students of a class is 3/4th of the average of the entire class, then what is the average marks of the remaining students?

6. A dishonest milkman professes to sell milk at cost price but he makes 33 1 / 3 % profit by mixing it with water. What is the water content in the milk solution?

7. In a class there are two sections—A and B. The average marks obtained by the students of sections A and B in a mathematics test are 30 marks and 40 marks, respectively. If the number of students in sections A and B are in the ratio 2 : 3, what are the average marks of the whole class?

8. The average of the heights of the students in a class will become 180 cm if three students with in average height of 160 cm join the class and five students with an average height of 168 cm leave the class. If two students whose heights are 172 cm and 182 cm join the class, what will happen to the average height of the class?

9. A shopkeeper mixed 3 varieties of wheat costing Rupees 12 per kg, Rupees 18 per kg and Rupees 21 per kg and sold the mixture at Rupees 15 per kg at 20% profit. Which of the following represents a possible ratio of the varieties mixed?

10. The total cost of producing a certain number of units of an article is partly fixed and partly varies directly with the number of units of that article produced. The average cost of producing 15,000 units of that article is Rupees 2 while that of producing 25,000 units of that article is Rupees 1.5. Find the variable cost of each unit of the article produced.