PIE CHARTS

1) Study the following figure and answer the questions given below that.

Consumption of Natural Rubber According to End-Products for the Year 2001 

Total Consumption: 120mt

Natural Rubber Production in India for the Year 2009-01 

Total production :150mt 

1) If natural rubber of the type RSS is capable of being consumed anywhere, then what is the least number of consumption modes which can be used to consume the entire RSS type natural rubber, that has been produced in the year 2001 ?

2) Solve Question 1 for part Solid Black.

3) Solve Question 2 for Solid Black for the maximum number of consumption modes instead of for the minimum number of consumption modes.

4) Solve Question 1 for latex concentrates for the maximum number of consumption modes instead of for the minimum number of consumption modes.

5) Find the difference between the quantity of production of RSS natural rubber and latex concentrate natural rubber.

6) Find the difference between the quantity of natural rubber consumed for dipped goods for latex foam.

7) Find the difference between the quantity of natural rubber consumed for footwear and for auto tires and tubes.

8) Find the percentage increment in the production of RSS type of Natural Rubber, if in the next year the production of natural rubber is equals to 200mt and all other type of natural rubber have increased by exactly 10%.

9) Find the percentage increment in the total consumption of natural rubber in the next year if the consumption of auto tires and tubes and cycle tires and tubes goes up by 20% each next year. (Assume that there is no change in the consumption in any other category.)

10) Find the average of production of all types of rubber in 2001.

11) Convert the data shown above into:

a) table

b) bar charts

c) paragraph capturing the entire information.

Notes of Interpretation

The two pies shown typically represent the consumption and production of  natural rubber in India for the year 2001. Both the figures are in MT. Normally in such cases the value of the consumption and production is the same. However, in this case, it can be seen that such is not the case. The production is higher by 30 mt. then the consumption. This can be interpreted to have gone into either increase in stock of natural rubber or in export or in other sectors. Since, no information is available about either of these two, we can not draw any definite conclusion.

2) Study the following figure and answer the question given below that.

     

         EBRD Commitment by Sector 

Total expenditure @ ₹7200 crores (Year 2006-07)

1) What is the expenditure on power and energy ?

2) What percentage of the expenditure on other sectors with expenditure on transport ?

3) What is the value of the maximum difference between expenditure of any two of the sectors ?

4) Find the average expenditure per sector of the four biggest sectors.

5) If all the sectors are divided into two groups A and B containing five sectors each, then what can be the maximum difference in the expenditures of group A and group B ?

6) If the objectives is to find a triplet in which the sum of expenditure of two sectors equals the expenditure of the third sector, how many such triplets can be found ?

7) What is the ratio of the sum of expenditures on natural resources and energy efficiency to the expenditure on financial institutions ?

8)How many sectors show an expenditure of more than ₹1019 crore?

9) Find the ratio of the sum of expenditures of the two biggest sectors in the sum of expenditures of the two smallest sectors.

10) If we have to convert the above pie chart into a bar graph with sectors and their expenditure on the x-axis and the y-axis respectively, what will be the chart look like.

11) If the expenditure in 2007-08 rises by 10% over 2006-07 keeping the percentage distribution of expenditure of all the sectors same, what will be the expenditure on property, tourism and shipping in 2007-2008?

12) By what percentage the total expenditure be raised into 2007-08 over 2006-07 so that the expenditure on agribusiness in 2006-07 becomes equal to the expenditure on energy efficiency in 2007-08, keeping all the other factors the same ?

Notes on Interpretation

 The total commitments made by an organisation EBRD for the year 2006-07 is divided into their components sectors. Each sector accounts for a chunk of the ₹ 7200 crores shown.

   The data given in the pie chart can be linked to the same data for subsequent/ previous years and comparisons with the respect to absolute value of changes and percentage changes made between the commitments for different sectors for different years.

EXERCISE -1

**The following pie chart shows the amount of subscription generated for the India Bonds from different categories of investors.

Subscription Generated for Indian Bonds

1) If the investments by NRIs are ₹4000 crore, then the investment by corporate houses and FIIs together is:

A) 24000 crore  

B) 24.363 crores 

C) 25423.4 crore 

D) 25643.3 crore

2) What percentage of the total investment is coming from either FIIs or NRIs ?

A) 33%  B) 11%  C) 44% D) 22%

3) If the total investment other than by FII and corporate houses is ₹335000 crore, then the investment by NRIs and Offshore funds will be (approximate):

A) 274100  

B) 285600 

C) 293000 D) cannot be determined

4) What is the approximate ratio of investment flows into India Bonds from NRIs to corporate houses ?

A) 1:4 B) 1:3 C) 3:1 D) can't determined

5) In the corporate sector, approximately how many degrees should be there in the central angle ?

A) 120 B) 121 C) 122 D) 123

6) If the total investment flows from FIIs 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 India Bonds in the next year? (Approximately)

A) 40%  B) 50% C)  60% D) 70%

7) If the inflow from FIIs after the doubling (of question 6) were to the tune of US$ 500 million, what would be the total investment into India Bonds next year (in US$ millions)?

A) 1000 B) 1500 C) 800 D) cannot be determined.

Answer: 

1. b 2c 3a 4b 5c 6b 7a

EXERCISE -2

***The following pie chart a and b exhibit the distribution of the Overseas tourist traffic from India. The two charts show the tourist distribution by country and the age profile of the tourists respectively. Study the charts carefully and answer the questions which follow.

Distribution of Overseas Tourist Traffic from India 

1) What percentage of the Indian tourists went to either USA or UK

A) 40%  B) 50% C) 60% D) 70% 

2) The ratio of the number of Indian tourists that went to USA to the number of Indian tourists who were below 30 years of age is:

A) 2:1 B) 8: 3 C) 3:8 D) cannot be determined

3) If amongst other countries, Switzerland accountanted for 5% of the Indian tourist traffic, and it is known from official Swiss records that a total of 25 lakh Indian tourists had gone to Switzerland during the year; then find the number of 30-39 years old Indian tourists who went abroad in that year.

A) 18.75 lakh B) 25 lakh C) 50 lakh D) 75 lakh 

4) for question 3, What was the volume of traffic of Indian tourists in the US ?

A) 150 lakh B) 125 lakh C) 200 lakh D) none

5) for questions 3 and 4, what can be inferred about the number of 50 + - year olds who visited UK during the year ?

A) at least 25 lakh B) exactly 25 lakh C) atleast 10 lakh D) can not be determined.

6) Solve question 12 assuming that the age distribution of overseas Indian tourists was inform for all the countries.

A) at least 25 lakh B) exactly 25 lakh C) at least 10 lakh D)  cannot be determined

7) What the assumption of Question 6 and the data from question 3 and 4 taken to be true, find the ratio of the number of 50 + years-olds Indian tourists visiting USA in the year to the number of below 50-years-old Indian tourists visiting UK or Switzerland during the year.

A) 2:1 B) 8:3 C) 3:8  D) cannot determined.

Answer:

1b 2b 3d 4c 5d 6b 7b

EXERCISE- 3

***The following Pie Charts A and B give the information about the distribution of weight in the human body according to different kinds of components. Study the Pie Charts carefully and answer the questions given.

Distribution of Weight in Human Body 

1) How much of the human body is neither made of bones nor skin?

A) 40% B)  50 C) 60% D) 70% 

2) What is the ratio of the distribution of proteins in the muscles to that of the distribution of proteins in the bones ?

A) 2:1 B) 2:3  C) 3:2 D) cannot be determine 

3) What percent proteins of the human body is equivalent to the weight of its skin ?

A) 41.66% B) 43.33% C) 44.44% D) can not determined.

Answer:

1d 2d 3a

EXERCISE -4

Use the pie diagrams given to answer the following questions. The pie chart A shows the distribution of the New York market share by the value of different computer companies in 2005.

The pie chart B shows the distribution of a New York market share by volume of different computer companies in 2005.

Number of units sold in 2005 in New York= 1500.

Value of units sold in 2005 in New York = US $ 1650000.

1) In 2005, average unit sale price of an IBM PC  was approximately (in US $)

A) 3180  B) 2800 C) 393 D) 3080

2) For the year 2005, which company has realised the lowest average unit sales price for a PC ?

A) commodore B) IBM C) Tandy D) cannot be determined

3) Over the period 2005-2006, if sales (value wise) of IBM PCs increased by 50% of Apple by 15%, assuming that PC sales of all other computer companies remained the same, by what percentage ( approximately) would be the PC sales in New York(value wise ) increase over the same period ?

A) 16.1% B) 18% C) 14% D) none

Answer:

1 d 2d 3a

EXERCISE -5 

*** Based on the data given on the pie chart, solve the questions which follow:

Percentage Sales of Different Models of Computers in Allahabad in Two Different Years.

1) The percentage change in the sales of Toshiba in 1999 is approximately:

a) 16% b) 61% c) 22% d) 68%

2) Which brand of computers among those shown, exhibited the second highest rate of growth in the two years and had less sales in 1999 than 1998?

a) HP b) Compaq c) Samsung d) All of these

3) What is the ratio between the Compaq sales in 1998 and those of IBM in 1999 ?

a) 0.94 b) 1.06 c) 1.13 d) 0.89

4) For which brand of computers, did the sale increase the maximum in terms of absolute value between the two years?

a) IBM b) Samsung c) HP d) Compaq

5) IBM's sales in 1998 is what percentage of the sales of Samsung in 1999?

a) 46.34% b) 52.34% c) 57% d) 60.8%

Answer:

1 c 2d 3b 4d 5d

EXERCISE -6

** Study the following pie chart and answer the questions.

            Colour TV Market in 2002

1) Which one of the following brands of colour TV sales is one-fourth of all other sales ?

a) Samsung b) Sony c) BPL d) Philips

2) Among the sales of other brands, if it is known that the sales of Videocon is 20% of the total sales of other brand sales, then find the number of colour TV s sold by Videocon.

a) 24000 b) 12000 c) 48000 d) none 

3) If next year CTV sales were to increase by 50% and the increase in Sony, Akai and BPL are 90% respectively, find the percentage change in the sales of Philips. (Assume there is no change in the sales of Samsung and others CTV.)

a) 20% b) 30 % c) 60% d) 50%

Answer

1b 2a 3a

EXERCISE -7 

**The pie chart given below provide the break -up of total government receipt in 2006 and 2007. Answer the questions based on the following pie charts .

Break-up of Total Government Receipt in 2006-07

1) How many categories showed an absolute decrease in the amount received?

a) 2 b) 3 c) 4 d) cannot be determined

2) The value of borrowing as a percentage of total income in 2007 was equal to which of the following?

a) Custom+ Non tax revz+ Other taxes in 2006.

b) Excise+ Income tax in 2006

c) Excise+ Income tax+ Non debt capital receipt in 2007.

d) Both a and b

3) If the total government receipt showed a 25% increase, what was the growth rate exhibited by revenue from corporation tax ?

a) 50% b) 55 c) 56.25% d) data insufficient

4) For the question above, the growth rate in the receipt of income tax was:

a) 16.66% b) -16.66% c) 20% d) data insufficient

5) The number of categories that showed a decrease in their percentage share of the total receipt, bore to the number of categories that showed an increase in their percentage share of total receipts a ratio of:

a) 3:4 b) 4:3 c) 4:4 d) 3:5

Answer:

1d 2d 3c 4b 5a

EXERCISE -8

** The following pie chart gives the expenditure incurred in printing a magazine. It shows the break-up of costs at 10000 units. Analyse the pie chart and answer the following questions

     Of the costs enlisted, paper and binding are variable costs, while printing and transport are semi-variable and vary uniformly after every 10000 units.

1) The publisher desires to make a profit of 25% and it is assumed that he is able to sell 80% of the copies that he produces. If the cost of the binding is ₹6000 for a print run of 12500 at what price in rupees should he sell each magazine? (Assume he sells 10000 copies)

a) 6.25 b) 5 c) 3.6 d) none

2) What will be the percentage contribution to the total costs of transportation for a print of 15000 copies, if the total cost of the magazine for 10000 copies is ₹200000?

a) 58.37% b) 5.755% c) 5.992% d) none 

3) If the editorial content development cost is ₹30000, then the cost of transportation for 12000 units can be expected to be ?

a) ₹4000 b) ₹8000 c) ₹12000 d) ₹2000

4) If for a given issue of the magazine, the miscellaneous cost is ₹2000 and the print-run is ₹15000 copies, what should be the selling price if the publisher desires a profit of 5% (Assume all copies were sold).

a) ₹9.73  b) ₹8.40  c) ₹10.5 d) none

5) If for the same data given in the previous question, the print-run were to be 50000 copies, the sale price per copy would be ?

a) ₹5  b) ₹6.3 c) ₹2.10 d) none 

6) If the proportional cost for a given issue of the magazine is ₹9000, then the total expenditure bringing out 25000 issues of that magazine is

a) 50000 b) 94500 c) 1085000 d) none 

Answer:

1d 2b 3b 4d 5b 6b

EXERCISE- 9

*** The pie chart below show us the break-up the Total Revenue and Total Sales Volume for a company, for the year ended 2003.

 Total Revenue=₹ 1139200 million and Total Sales Volume= 653610 units. Based on the data provided in both the figures answer the questions.

          Break-up of Total Revenue 

               Break-up of Total Sales 

1) What is the net revenue per Esteem sold, approximately ?

a)1481000 b) 1348000 c) 1532000 d) 1326000

2) The highest net revenue per vehicle comes from 

a) M800 b) Omni c) Esteem d) Zen 

3) If volume of sales of Omni was increased by 25% and this sales increase was entirely at the cost of M800, then what is the percentage decrease in M800 volume sales?

a) 1.3% b) 2.4%  c) 4.3% d) 4.75% 

4) If the net revenue from Alto were to be excluded, what percentage of the revenue would Zen from?

a) 3.27% b) 3.17% c) 3.37% d) 3.47%

5) Which of the following is True?

A) The sum of the revenue generated by Zen and Omni is less than twice that of Alto. 

B) If the revenue of Esteem and Alto be interchanged, Alto's revenue per unit would be the more than that for Zen.

C) The revenue per unit of Esteem is greater than that of M800.

a) A only b) B only c) C only d) both B and C

Answer:

1a 2b 3d 4c 5d

EXERCISE -10

                   The Good Boss 

1) If 47.5% of the bosses who are tough on meeting targets decide not to be tough, what percent of the whole would be the biosses that reward excellence make ? (Assume they start rewarding excellence instead)

a) 40.4%  b) 45.5% c) 30.3% d) 35.5%

2) If it so happens that a new type of boss emerges, being the one who believes in performance based incentives, what percent of the total would be account for if the percent of bosses who treats everyone equally now becomes 27.55% ?

a) 33.3% b) 25% c) 12.5% d) cannot be determined

Answer: 

1b 2d

EXERCISE -11

** The pie chart below shows the percentage exports made to the respective countries. Answer the questions that follow:

Percentage of Exports to different Countries 

1) If the given commodities are exported to Nairobi in the volume ratio of 2:3:4:4.5:6.5, then what percent of the total exports to that country does the export of flowers from in the given period (assume only these given commodities are exported)

a) 25% b) 15% c) 20% d) cannot be determined

2) If 43% of Rasogollas are exported to Canada and 23% tinned fish exported to Oman in the given period, what is the ratio of the value of the exports of Rosogollas to Canada to Tinned Fish to Oman ?

a) 0.97:1 b) 0.86:1 c) 0.78:1 d) none

3) Which of the following statement is True? 

A) There has been increasing trend in at least one of these commodities exported in the given period.

B) The volume of Exports to Nairobi is the highest among the given Nations.

C) The total volume of exports made to Canada is equal to the sum of the exports made to Iran and Indonesia.

D) The value of exports of 3 of the given commodities has decreased in 2002-03 as compared to 2001-02.

a) A only  b) A and C c) A,B and C d) All of these.

Answer:

1d 2a 3b

EXERCISE -12

Break-up of Goods Transported by Roadways in India (in degree)

1) What percent of the total good traffic do Automobiles and Petroleum form ?

a) 30% b) 25%  c) 28%  d) 22% 

2) If 'Others' were to be excluded, what percent of the total would coal form ?

a) 48% b) 38% c) 42% d) 36% 

3) If total traffic increased by 12.5% due to increase in fertilizer alone, what is the percentage increase in the traffic of fertilizer ?

a) 158.55% b) 152.40% c) 162.45% d)  168.35% 

4) By what percent is the traffic of coal greater than of consumables and food grains ?

a)183.34%  b) 184.28% c) 179.71% d) 192.26%

5) What is the angle formed by the sector representing petroleum ?

a) 68.4° b) 75.6° c) 64.8° d) 79.2°

6) What is the ratio of the angle formed by coal and that formed by food grains ?

a) 4:61 b) 4.7:2 c) 5.2:1 d) 5.6:1

Answer

1b 2a 3c 4c 5a 6b