I think it's (d), though we have to see what other members say about it.
The two pie-charts show the market share of different companies which produces TV and Refrigerator(both) in the first quarter of 2014-15:
Which of the following cannot be deducted from the given data:
(a) The angular difference samsung TV and Electrolux refrigerator is 3.6 degrees.
(b) Sony is the market leader in the TV and Refrigerator segment combined
(c) For every 100 dollar turnover of Whirlpool Refrigerator , the difference in the turnover of Electrolux and Samsung Refrigerator is $333.4 million
(d) None of the above.
Although there is no scale given, i.e. in $1M or in $K or in percent or ..., the assumption would be (at least by me) that the numbers were percent. Not only would that make (a) makes sense and make (a) and (B) true but the numbers for both pie charts add to 100. Thus we have no numbers for actual monetary values and (almost) anything said involving this would not be deducible from the charts, i.e. (c) is the answer.
If the answer is actually (b), what do the numbers mean?
Please, what is your reasoning for saying (c) is true? Assuming percentages, I get Whirlpool is .06 T where T is the Total turnover in Refrigerators. The difference between Electrolux and Samsung Refrigerator is (.13 - .11) T = 0.02 T. The ratio (Whirlpool/difference) is 2 so for every $100 turnover for Whirlpool, there is a $50 difference in the turnover between Electrolux and Samsung Refrigerator not a 333400000 dollar turnover.
Hi guys,
Yes , the numbers are percentages and I agree with Ishuda and Spock the answer cannot be (b). Let me give the answers as given in the book:
(b)We don't know the turnover of TV and Refrigerator market for each brand. Hence (b) cannot be inferred.
(c) 6% of total refrigerator market= 1000 million
Total refrigerator market = 16670 million
Difference=2% of 16670= 333.4 million
(Regret there was an error in the original post: it's $ 1000 million in option (c))
Thus, there must be an error in the book. We can clearly see that Sony is the market leader since Sony has the highest percentage of market share in both the segment. So Sony must be the leader. Request an advice on my concept that percentage market share is sufficient to determine the market leader if all the percentages are given.And that the information about turnover as mentioned in the above solution is not required in such case. Please inform soon.
Ok - I'm assuming two different things for the problem so I agree the answer is (b) assuming (c) is corrected to show 'the right numbers' and the numbers represent percentages
For an example, let Refrigerator total be 2M and TV total be 2000M. Hatachi's total of 320.44M would be a lot larger than Sony's total of 300.38M. There's a lot of other numbers where it would work the same way.
Hi Ishuda,
Thanks for the explanation. But you got the items in reverse which I have highlighted in red color. The right pie-chart is for Refrigerator and the left pie-chart is for TV. Nevertheless, your explanation was actually very helpful. Therefore, the book is actually correct and the leadership of the market will depend on the total turnover in a particular segment. Can you suggest some more numbers like above where Sony will not be the market leader. Thanks in advance.
Let T_{t} be the total amount of TV's sold, T_{r} the total amount of Refrigerators, T_{S} the total amount for Sony, and T_{H} the total amount for Hitachi. Also let T_{t} = A T_{r} for some positive number A. Then
T_{S} = 0.19 T_{t} + 0.15 T_{r} = (0.19 A + 0.15) T_{r}
and
T_{H} = 0.11 T_{t} + 0.16 T_{r} = (0.11 A + 0.16) T_{r}
Since, for our counter example to (c), we want T_{S} less than T_{H}, we have
(0.19 A + 0.15) T_{r} < (0.11 A + 0.16) T_{r}
or
0.08 A < 0.01
which implies A is less than 0.125.
So choose any number for T_{r} and any positive A less than 0.125 and (c) will be false [that is , if I haven't made a mistake like last two times - thnx btw].