The salary of 10 workers is Rs each. So total salary of 10 workers = Rs. 2000*10 = Rs.20000
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1 AVERAGE Answer key Word problems a. The salary of 5 workers in a factory is Rs. 500 each,10 workers in Rs.2000 each and 15 workers is Rs Find the average salary of the workers in the factory. Solution: The salary of 5 workers is Rs. 500 each. So total salary of 500 workers = Rs. 500 *5 = Rs The salary of 10 workers is Rs each. So total salary of 10 workers = Rs. 2000*10 = Rs Salary of 15 workers is Rs (no need to multiply as it is not given for each) So average salary = Total salary of all workers No of workers = = = Rs Ans - So average salary of workers in the factory = Rs. 800 b. Given below is the distanced travelled by Car A and Car B on different days of the week in kilometers. Find out which car travelled more kilometers. Day Monday Tuesday Wednesday Thursday Friday Car A Car B Solution : Average kms travelled by Car A = Total number of kms Number of days = = 9 = 19.2 kms 5 5
2 Average kms travelled by Car AB = Total number of kms Number of days = = 90 = 18 kms 5 5 Since 19.2 kms > 18 kms the distance travelled by Car A is more Ans = Car A travelled more kms c. The sugar consumption( in kgs) of a cake shop on few days of the week is as below. What is the average sugar consumption? Day Monday Tuesday Wednesday Thursday Friday Sunday Solution: Average sugar consumption = Total consumption during given days Total number of days = = 4 = 12.3 kgs Ans = 12.3 kgs is the average sugar consumption of the cake shop d. The rainfall in Gujarat and Kerala for months is as follows. Which state received more rainfall? Kerala(in cms) Gujarat(in cms) Jan Feb March Apr May June Solution : Average rainfall in Kerala = Total rainfall in Kerala No of months
3 = = 2100 = 350 cms Average rainfall in Gujarat = Total rainfall in Gujarat No of months = = 800 = cms Since 350 cms > cms Kerala received more rainfall Ans = Kerala received more rainfall e. Find the average of the first 8 even numbers. Solution : First 8 even numbers = 2,4,,8,10,12,14,1 Average of first eight even numbers = = 2 = 9 8 Ans = 9 f. The petrol consumption (in litres) across 2 states in India for various months are as below. Which state consumed more petrol? What is the average consumption in the month of November? Month Bangalore Hyderabad July August September October November December January
4 Solution: Average petrol consumed in Bangalore = Sum of petrol consumed in all months Number of months = = 285 = 4081 litres Average petrol consumed in Hyderabad = Sum of petrol consumed in all months Number of months = = = 4000 litres Since 4081 litres > 4000 litres; the average consumption of petrol in Bangalore is higher. Average consumption of both the states in November = Total consumed in November Number of states = = = litres 2 2 So average consumption of both states in November = litres g. The run rate of two batsmen for different matches is as below. Which batsmen scored more runs? What was the average runs scored by the batsmen for the World Cup? Batsmen World Cup IPL T20 Test Cricket Sachin M.S Dhoni Solution : Average runs scored by Sachin = Total numbers scored by Sachin Number of matches = = 240 = 01.5 runs 4 4 Average runs scored by Dhoni = Total numbers scored by Dhoni Number of matches
5 = = 2 =.5 runs 4 4 Since.5 runs> 01.5 runs, Dhoni scored more runs. Average runs scored by both batsmen in the World Cup = Total runs scored in the World Cup Number of batsmen Ans = 825 runs = = 150 = 825 runs 2 2 h. Find the average of the first 9 prime numbers. Solution : First 9 prime numbers = 1,3,5,,11,13,1,19,23 Average = Sum of primes = = 99 = 11 Number of primes 9 9 Ans = 11 i. The number of apples got from three trees in an orchard is as below. What is the average number of apples got from all the 3 trees? Tree A 5 Tree B 90 Tree C 5 Solution : Average Number of apples got from all 3 trees = Sum of total apples got Number of trees = = 222 = 4 apples 3 3 Ans = 4 apples SUMMARY - AVERAGE Average means = Total consumption or whatever the question is related to (i.e the sum ) Numbers of months/days etc. If 2 sets of data are given,then find the average in each case. The set which for which average is greater is greater
D. Rs D. 19 years 39. The average of 8 numbers is 12. If each number is increased by 2, the new average will be A. 12 B. 14
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Bounds. Find the upper and lower bounds of the following: 1) 50m rounded to the nearest 10m. Upper Bound = Lower Bound =
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