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Directions: Study the following graph carefully to answer the questions that follow.

          Number of new companies registered (in thousand) in four countries in various years


                  
Important for :
1
In which year is the average of the number of companies registered the maximum?
» Explain it
B
In 2005, the average number of companies registered

=   (5 + 10 + 15 + 35) × 1000  =  65000  = 16250
4 4

In 2006, the average number of companies registered

=   (10 + 25 + 30 + 35) × 1000  = 25000
4

In 2007, the average number of companies registered

=   (5 + 10 + 15 + 20) × 1000  = 12500
4

In 2008, the average number of companies registered

=    (30 + 25 + 20 + 15) × 1000  = 22500
4

In 2009, the average number of companies registered

=   (5 + 20 + 25 + 35) × 1000  = 21250
4

In 2010, the average number of companies registered

=    (10 + 20 + 25 + 30) × 1000  = 21250
4

In 2011, the average number of companies registered

=    (5 + 15 + 25 + 35) × 1000  = 20000
4

In 2012, the average number of companies registered

=    (10 + 15 + 30 + 35) × 1000  = 22500
4

Hence, in 2006, the average number of companies registered was the maximum.
2
The number of companies registered in 2012 is what percentage more or less than the number of companies registered in the year 2005?
» Explain it
D
Number of companies registered in 2012 = (15 + 10 + 35 + 30) × 1000
= 90 × 1000 = 90000.

Number of companies registered in 2005 = (5 + 15 + 10 + 35) × 1000 = 65 × 1000 = 65000

∴    Required % =   90000 – 65000  × 100 = 33.33%
75000

Hence, number of companies registered in 2012 is 33.33% more than 2005.
3
What is the ratio of the number companies registered in Japan to that in China during 2005 to 2012?
» Explain it
E
Number of companies registered in Japan during 2005 to 2012, 

= (10 + 35 + 10 + 25 + 20 + 30 + 35 + 35) × 1000 = 200000 
 
Number of companies registered in China during 2005 to 2012, 

= (35 + 30 + 15 + 30 + 35 + 25 + 5 + 30) × 1000 = 205000
 
Reqd. ratio = 200000 : 205000 = 40 : 41.
4
In which of country is the average number of companies registered the maximum?
» Explain it
B
Average number of companies registered in France

=   (15 + 25 + 20 + 15 + 25 + 10 + 15 + 10) × 1000  =  135000  = 16875
8 8

Average number of companies registered in Germany

=    (5 + 10 + 5 + 20 + 5 + 20 + 25 + 15) × 1000  =  105000  = 13125
8 8

Average number of companies registered in Japan

=    (10 + 35 + 10 + 25 + 20 + 30 + 35 + 35) × 1000  =  200000  = 25000
8 8

Average number of companies registered in China

=   (35 + 30 + 15 + 30 + 35 + 25 + 5 + 30) × 1000  =  205000  = 25625
8 8

Average number of companies registered in China is the maximum.
5
The total number of companies registered in France is how much more or less than the total number of companies registered in China?
» Explain it
C
Total number of companies registered in France

=   (15 + 25 + 20 + 15 + 25 + 10 + 15 + 10) × 1000 = 135000

Total number of companies registered in China

=   (35 + 30 + 15 + 30 + 35 + 25 + 5 + 30) × 1000  =  205000

=   205000 – 135000  × 100  =  70000  × 100 = 34.14%
205000 205000

So, France has 34.14% less registered companies than China.