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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.