### Join Testzone, Smartkeeda’s Test Series Platform for:

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

Important for :
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