Table of contents  
What are Pie Charts?  
Some Solved Examples 
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Pie Charts are the circular way of data representation. In these graphs, a circle is divided into various segments and each single segment denote a category from the given data.
There are various kinds of pie graphs namely, 3D pie chart, doughnut chart, exploded pie chart, ring chart, etc. But in the exam, we will usually be given the basic pie chart which is given below.
Example: The chart below shows the distribution of the sales of the car industry between six car companies. Looking at the chart below, we can infer that Maruti accounts for 24 percent of the market share, while GM accounts for 35 percent of the market share, Ford for4 percent of the market share, Tata for 10 percent of the market share, Hyundai for 15 percent of the market share and Fiat for 12 percent of the market share.Distribution of cars sales between six companies
Example 1: The following pie chart shows the amount of subscriptions generated for Indian Bonds from different categories of Investors.
(i) If the investment by NRI’s are INR 4,000 crore, then investment by both corporate houses and FII’s together is:
(a) 24000 crores
(b) 24363 crores
(c) 25423.4 crores
(d) 25643.3 crores
Solution. Option (b)
Explanation. If the investment by NRI is worth 4000 crores which are 11% of the total value.
Then, the total value will be = 4000 * 100/11 = 36363.63
Now, investment by corporate houses and FII’s together = 67% of 36363.63 = 24,363.63 crore.
(ii) What percentage of total investment is coming from either FII’s or NRI’s?
(a) 33%
(b) 44%
(c) 11%
(d) 22%
Solution. Option (b)
Explanation. Investment from FII = 33% and Invest from NRI = 11%
Thus, total investment coming from FII's or NRI's = 44%
(iii) What is the approximate ratio of investment flows into India Bonds from NRI’s to corporate houses?
(a) 1:4
(b) 1:3
(c) 3:1
(d) Cannot be determined
Solution: Option (b)
Explanation: The investment by NRI’s is 11% and the corporate house is 34%.
Therefore, the ratio will be 11:34 ≈ 1:3.
(iv) If the total investment flows from FII were to be doubled in the next year and the investment flows from all other sources had remained constant at their existing levels for this year, then what would be the proportion of FII investment in the total investment flows into Indian Bonds in the next year (approximately)?
(a) 40%
(b) 50%
(c) 60%
(d) 70%
Solution: Option (b)
Explanation: The current FII’s are 33% and it will double next year making it 66%.
Thus, keeping other investments constant now the total becomes 133.
Hence, 66 % of 133 will be 49.62% i.e. 50%.
Example 2: Study the following diagram carefully and answer the questions:
Percentage Composition of Human Body
(i) What percent of the total weight of human body is equivalent to the weight of the proteins in skin in human body?
(a) 0.016
(b) 1.6
(c) 0.16
(d) Cannot be determined
Answer: Option B
Solution: Now to solve this question you have to make use of both the pie charts. Since total percentage of protein in body is 16%. And, the total percentage of the weight of skin in human body is 10%. Therefore, the percentage of protein in skin is 10% of 16.i.e. 1.6.
(ii) What will be the quantity of water in the body of a person weighing 50 kg?
(a) 20 kg
(b) 35 kg
(c) 41 kg
(d) 5 kg
Answer: Option B
Solution: Water constitutes 70% of the body. Thus, if the man weighs 50 kg then 70% of it will be water. The weight of water will be 35 kgs.
(iii) What is the ratio of the distribution of proteins in the muscles to that of the distribution of proteins in the bones?
(a) 1:18
(b) 1:2
(c) 2:1
(d) 18:1
Answer: Option C
Solution:
Again, using both pie charts we know that 33% of body weight is constituted in muscles whereas 17% in bones and 16% of it will be protein.
Hence, 0.16*33: 0.16*17, which is approximately equal to 2:1.
(iv) To show the distribution of proteins and the other dry elements in the human body, the arc of the circle should subtend at the center an angle of;
(a) 54^{o}
(b) 126^{o}
(c) 108^{o}
(d) 252^{o}
^{Answer: Option C}
^{Solution: }
Using the formula given in the example 1, Ans 5 we get,
[(16% + 14%)/100] * 360^{o} = 108^{o}.
(v) In the human body, what part is made of neither bones nor skin?
(a) 1/40
(b) 3/80
(c) 2/5
(d) None of these
Answer: Option D
Solution:
Now let us consider the body to be numeraire as 1 and 17/100 and 10/100 constitutes bones and skin respectively i.e. 1/6 and 1/10. Hence, the required answer is 1 – (1/6 +1/10) = 11/15.
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