Direction: Study the following graph to answer these questions.

The bar graph shows the performance of 3 political parties A, B and C in terms of votes acquired in the elections in a constituency during 2008-2012. The following data given in lakhs.

Important for :
1
By what percent is the average number of votes acquired by B more/less than that of A during 2008-2012?
» Explain it
C
Average of votes acquired by A

 = 2.1 + 2.5 + 3.05 + 4.1 + 4.15 5

= 3.18

Average of votes acquired by B

 = 3.5 + 3.1 + 4 + 3.9 + 3.8 5

= 3.66

Required percentage

 = 3.66 – 3.18 3.18

= × 100 = 15%

∴  It is 15% more than A.

Hence, option C is correct.

2
How many more votes are required by C in 2013 than in 2012 to make the ratio of votes with A, 3 : 2, keeping the votes of A same in 2012?
» Explain it
B
let the required number of votes be x.

 Then, x + 1.5 = 3 4.15 2

 x + 1.5 = 4.15 × 3 2

x = 6.225 – 1.5 = 4.725 lakh.

Hence, option B is correct.

3
By what per cent should votes of B increase/decrease in 2012 to equal its average during the previous 4 year?
» Explain it
D
Average of votes for previous four years

 = 3.5 + 3.1 + 4 + 3.9 = 14.5 4 4

= 3.625

Hence, the number of votes in 2012 are more than average.

Number of votes that should be decreased = 3.8 – 3.625 = 0.175 lakh

Required decrease in percentage

 = 0.175 × 100% = 4.6% 3.8

Hence, option D is correct.

4
In 2011, by what percent should the votes of C increase to exceed the votes of B in the same year by 12%?
» Explain it
C
112% of votes of C = 112% of 3.9

 = 112 × 3.9 = 4.368 100

∴  Votes of C must be increased to 4.368

∴  Increased votes = 4.368 – 2.3 = 2.068

Then, required percentage

 = 2.068 × 100% = 89.9% 2.3

Hence, option C is correct.

5
What percent of votes were acquired by B with respect to the total votes acquired by all the three parties in 2009?
» Explain it
B
Total votes acquired by all three parties

= 3.1 + 2.5 + 1.9 = 7.5

Required percentage

 = 3.1 × 100% = 41.33% 7.5

Hence, option B is correct.

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