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Study the following graph carefully and answer the questions given beside:
 
The line graph shows the percentage of Dancers, Actors, and Directors who like cars and are from Tiripura and the table shows the total number of Dancers, Actors, and Directors living in Tiripura.


 
Total number of Dancers, Actors, and Directors over the years in Tiripura
 
 Year   Dancers   Actors   Directors 
2011 4500 3000 1500
2012 5700 4600 2100
2013 6300 6000 1200
2014 6600 5400 1600
2015 4000 6800 2000
2016 7800 7500 4500

1
Find the total number of directors who do not like cars in the year 2011 and 2014 together?
» Explain it
C
Total number of directors who do not like cars in the year 2011 and 2014 together = (100 – 15)% of 1500 + (100 – 12.5)% of 1600 
 
= 85% of 1500 + 87.5% of 1600
 
= 1275 + 1400 = 2675
2
What is the difference between the number of Actors who like cars in 2016 and the number of Dancers who do not like cars in 2014? 
» Explain it
B
Number of Actors who like cars in 2016 = 20% of 7500 = 1500
 
Number of Dancers who do not like cars in 2014 = (100 – 35)% of 6600 = 4290
 
Reqd. difference = 4290 – 1500 = 2790
3
Find the ratio of Dancers who like cars in 2011 to that of Actors who like cars in 2013?
» Explain it
C
Reqd. ratio =  25% of 4500  = 15 : 16
20% of 6000
4
What is the overall percentage change from the number of Directors who like cars in 2011 to the number of Dancers who like cars in 2016?
» Explain it
D
The number of Directors who like cars in 2011 = 15% of 1500 = 225 The number of Dancers who like cars in 2016 = 37.5% of 7800 = 2925
Reqd. % =  2925 – 225  ×100 = 1200%
225
5
What was the approximate mean of Dancers, Actors and Directors who like cars in 2015? 
» Explain it
A
Reqd. avg =  27.5% of 4000 + 22.5% of 6800 + 10% of 2000
3

 =  1100 + 1530 + 200
3

 =  2830  = 943.33 ≈ 943
3