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By what per cent should votes of B increase/decrease from their actual value in 2012 to equal its average during the previous 4 year?

A Increase by 3.5%

B Increase by 5.8%

C Decrease by 5.8%

D Decrease by 3.5%

E Decrease by 4.3%

Solution

Correct Answer: Option E

From the given data,

Total number of votes acquired by B during 2008-2011 (in lakhs) = 3.8 + 3.4 + 4.3 + 4.2 = 15.7

Average number of votes acquired by B during 2008-2011 (in lakhs) = 15.7/4 = 3.925

Number of votes acquired by B during 2012 (in lakhs) = 4.1

Required % to maintain average\(= \;\frac{{3.925 - 4.1}}{{4.1}} \times 100\; = \; - 4.3\)

Negative sign shows the % should be decreased.

∴the votes of B in 2012 should decrease by 4.3% in 2012 in order to maintain the average.

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