# Arithmetic & Average Questions

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TOPIC: AVERAGE SMA 5000
SUMMER 2020
1.Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby
increasing his average by 8 runs. His new average is:
SOLUTION
Let Ajit's average be x for 9 innings. So, Ajit scored 9x run in 9 innings.
In the 10th inning, he scored 100 runs then average became (x+8). And he scored (x + 8) × 10
runs in 10 innings.
Now,
9x+100=10×(x+8)
or,9x+100=10x+80
or,x=100−80
or,x=20
New average=(x+8)
=28runs
2.The average temperature for Wednesday Thursday and Friday was 40 degrees Celsius. The
average for Thursday Friday and Saturday was 41 degrees Celsius. If temperature on Saturday
was 42 degrees Celsius , what was the temperature on Wednesday?
Solution:
Average temperature for Wednesday, Thursday and Friday = 40° C
Total temperature = 3 × 40 = 120° C
Average temperature for Thursday, Friday and Saturday = 41° C
Total temperature = 41 × 3 = 123° C
Temperature on Saturday = 42° C

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Now,
(Thursday + Friday + Saturday) - (Wednesday + Thursday + Friday) = 123 - 120;
Saturday - Wednesday = 3
Wednesday = 42 - 3 = 39° C
The average of the first five multiples of 9 is:
Solution
Required average
=(total sum of multiple of 9) / 5
=(9+18+27+36+45) / 5
=27
Note, average of 9 and 45 is also 27.
And average of 18 and 36 is also 27.
3.The speed of the train going from Nagpur to Allahabad is 100 km/h while when coming back
from Allahabad to Nagpur, its speed is 150 km/h. find the average speed during whole journey.
Solution
Average speed,
=2×X×Y /X+Y
=2×100×150 /100+150
=200×150 /250
=120km/hr
4.In a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is
replaced by a new man. What is weight of new comer?
Solution

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MATHS QUESTIONS AND ANSWERS TOPIC: AVERAGE SMA 5000 SUMMER 2020 1.Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is: SOLUTION Let Ajit's average be x for 9 innings. So, Ajit scored 9x run in 9 innings. In the 10th inning, he scored 100 runs then average became (x+8). And he scored (x + 8) × 10 runs in 10 innings. Now, ⇒9x+100=10×(x+8) or,9x+100=10x+80 or,x=100−80 or,x=20 New average=(x+8) =28runs 2.The average temperature for Wednesday Thursday and Friday was 40 degrees Celsius. The average for Thursday Friday and Saturday was 41 degrees Celsius. If temperature on Saturday was 42 degrees Celsius , what was the temperature on Wednesday? Solution: Average temperature for Wednesday, Thursday and Friday = 40° C Total temperature = 3 × 40 = 120° C Average temperature for Thursday, Friday and Saturday = 41° C Total temperature = 41 × 3 = 123° C Temperature on Saturday = 42° C Now, (Thursday + Friday + Saturday) - (Wednesday + Thursday + Friday) = 123 - 120; Saturday - Wednesday = 3 Wednesday = 42 - 3 = 39° C The average of the first five multiples of 9 is: Solution Required average =(total sum of multiple of 9) / 5 =(9+18+27+36+45) / 5 =27 Note, average of 9 and 45 is also 27. And average of 18 and 36 is also 27. 3.The speed of the train going from Nagpur to Allahabad is 100 km/h while when coming back from Allahabad to Nagpur, its speed is 150 km/h. find the average speed ...
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