Study the graph to answer these questions. The graph below shows sales of different colour of Brand-X refrigerator for the year 2009, 2010 and 2011. Brand-X: Sales volume by colour of refrigrator(in '000s)
Question: 1
Over the given three years which has been the highest selling colour; and what percentage of volume did it account for?
Sales of red colour refrigerator in all the given years in thousands = (20 + 30 + 45) = 95 Sales of Blue colour refrigerator in all the given years in thousands = (25 + 32 + 48) = 105 Sales of Lemon colour refrigerator in all the given years in thousands = (47 + 23 + 32) = 102 Sales of Grey colour refrigerator in all the given years in thousands = (2 + 27 + 34) = 63 Sales of White colour refrigerator in all the given years in thousands = (32 + 45 + 43) = 120 Highest selling colour is white. Percentage of volume it accounted for, is given by, Required percentage \(=\frac{120}{95+105+102+63++120}\times100\) \(=\frac{12000}{485}=25\%\)(approx) Hence, option B is the correct answer.The correct option is (B): white, 25%
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Question: 2
Sale of which colour(s) of refrigrator registered the highest percentage increase between 2010 and 2011?
Percentage increase in red colour from 2010 to 2011 \(=\frac{45-30}{30}\times100=\frac{15}{30}\times100=50\%\) Percentage increase in blue colour from 2010 to 2011 \(=\frac{48-32}{32}\times100=\frac{16}{32}\times100=50\%\) Percentage increase in Lemon colour from 2010 to 2011 \(=\frac{32-23}{23}\times100=\frac{9}{23}\times100=39.13\%\) Percentage increase in Grey colour from 2010 to 2011 \(=\frac{34-27}{27}\times100=\frac{7}{27}\times100=25.92\%\) There is no increase from 2010 to 2011 in white colour. Sales in red and blue colour registered highest percentage increase. Hence, option C is the correct answer. (Red)
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Question: 3
What is the share of sales volume accounted for by the year 2011?
Sales in 2011 = 45 + 48 + 32 + 34 + 43 = 202 Sales of all the refrigrator's in all the years = (20 + 30 + 45) + (25 + 32 + 48) + (47 + 23 + 32) + (2 + 27 + 34) + (32 + 45 + 43) = 485 Share of sales volume accounted for by the year 2011 is given by, \(=\frac{202}{485}\times100=41.64\%\) Hence, option D is the correct answer.The correct option is (D): 41.64%
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Question: 4
What is approximately the ratio of sales of Red, Lemon and White refrigrators, taken together, in 2010 to that of the combined totalsales of Blue and Grey ones in 2009 and 2011 taken together?
Total sales of Red, Lemon and White refrigrator taken together in 2010 = (30 + 23 + 45) = 98 Total sales of Blue and Grey ones in 2009 and 2011 taken together = (25 + 2 + 48 + 34) = 109 Ratio between them = 98 : 109 \(\cong\) 9 : 10 Hence, option A is the correct answer.The correct option is (A): 9 : 10
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Question: 5
How many instances are there in the graph where the difference in sale of refrigrators was greater or lesser by 35% or more ascompared to the previous year?
Percentage in sale of refrigrator, For Red \(=\frac{15-10}{10}\times100=50\%\) For Blue \(=\frac{16-7}{7}\times100=128.5\%\) For Lemon \(=\frac{9-24}{24}\times100=-62.5\%\) For Grey \(=\frac{7-25}{25}\times100=-72.5\%\) For White \(=\frac{2-13}{13}\times100=-84.6\%\) There are 5 instances where the difference in sale of refrigrator was greater or lesser than 35% or more as compared to the previous year. Hence, option B is the correct answer.The correct option is (B): 5