# Exercise on Averages – 2

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1. The average monthly salary of 12 workers and 3 managers in a factory was Rs. 600. When one of the managers whose salary was Rs. 720, was replaced with a new manager, the average salary of the team went down to Rs. 580. What is the salary of the new manager?

2.The average wage of a worker during a fortnight comprising 15 consecutive working days was Rs.90 per day. During the first 7 days, his average wage was Rs.87/day and the average wage during the last 7 days was Rs.92/day. What was his wage on the 8th day?

3. When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students?

4. The average weight of a class of 24 students is 36 kgs. When the weight of the teacher is also included, the average weight increases by 1kg. What is the weight of the teacher?

5. The average age of a family of 5 members is 20 years. If the age of the youngest member is 10 years, what was the average age of the family at the time of the birth of the youngest member?

6. Average weight of 25 boys in a class is 48 kgs. The average weight of class of 40 students is 45 kgs. What is the average weight of the 15 girls in the class?

7. The average of 5 quantities is 10 and the average of 3 of them is 9. What is the average of the remaining 2?

8. Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. What is the total cost of 24 apples and 24 mangoes.

9. The average age of three girls is 16 years. When a fourth girl joins them, their average age becomes 13 years. How old is the fourth girl?

10. In five compulsory subjects, a candidate scored an average of 60 marks. In two optional subjects he scores equal marks and when these marks are added to his total marks, his average marks drops by 4. How much did he score in each optional subject? (Maximum marks for both compulsory and optional subjects are same)

11. A batsman in his 12th inning scores 63 runs. Due to this, his average score increases by 2 runs. What is his average score after the 12th innings? (He had never been 'not out').

12.    The average cost of eight items in a shop is Rs. 5000. Three items costing Rs.4000, Rs. 4200, Rs. 4300 are sold. What is the average cost of the remaining items?

13. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?

14. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is

15. In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Arun?

16. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

17. A pupil's marks were wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by half (1/2). The number of pupils in the class is:

18. The average of nine numbers is equal to the average of ten numbers and the 10th number therefore is

19. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

20. The average age of 12 students at present is 12 years. What will the average be after 12 years

21. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:

22. The average age of P, Q, R and S is 30 years. How old is R?

I. The sum of ages of P and R is 60 years.

II. S is 10 years younger than R.

23. How many candidates were interviewed everyday by the panel A out of the three panels A, B and C?

I. The three panels on average interview 15 candidates every day.

II.Out of a total of 45 candidates interviewed everyday by the three panels, the number of candidates interviewed by panel A is more by 2 than the candidates interviewed by panel c and is more by 1 than the candidates interviewed by panel B.

24. A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?

25. Each of the questions given below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question. How many marks did Tarun secure in English? a.The average mark obtained by Tarun in four subjects including English is 60. b.The total marks obtained by him in English and Mathematics together are 170. c.The total marks obtained by him in Mathematics and Science together are 180.