28% Divided 8% 1. The operating profit in increased over that in by: (1) 23% (2) 22% (3) 25% (4) 24% (5) 25%

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1 Pie Chart Directions for (Que. - 5): Answer the questions based on the following pie-charts. Operating profit Rs. 60 lakh Depreciation Divided 8% Retained Profit Tax 2% Interest 40% Operating profit Rs. 30 lakh Depreciation 28% Divided 8% Interest 30% Tax 9% Retained Profit 2 Depreciation Interest Tax Reta ined Profit Divided. The operating profit in increased over that in by: () 23% (2) 22% (3) 2 (4) 24% (5) 2 2. The interest burden in was higher than that in by: () 50% (2) Rs. 25 lakh (3) 90% (4) Rs. 4 lakh (5) None of these 3. If on an average, rate of interest was charged on borrowed funds, then the total borrowed funds used by this company in the given two years amounted to: () Rs. 22 lakh (2) Rs. 95 lakh (3) Rs. 368 lakh (4) Rs. 55 lakh (5) Rs. 68 lakh. 4. The retained profit in 99-92, as compared to that in was: () higher by 2. (2) higher by. (3) lower by 2. (4) lower by. (5) higher by 2% 5. The equity base of these companies remained unchanged. Then the total dividend earning by the share holders in is: () Rs. 04 lakh (2) Rs. 9 lakh (3) Rs. 2.8 lakh (4) Rs. 5.6 lakh (5) Rs. 7.9 lakh Directions for (Que. 6-9): Answer the questions based on the following information: Consider the information provided in the figure below relating to India s foreign trade in and the first eight months of Total trade with a region is defined as the sum of exports and imports from that region. Trade defined as the excess of imports over exports. Trade deficit may be negative A. USA B. Germany C. Other EU D. UK E. Japan F. Russia G. Other East Europe H. OPEC I. Asia J. Other LDCs K. Others VistaMind Chapter 4 Pie Charts BMM of 68

2 Source of Imports Imports into India $40,779 million J 4% K % A 9% B I 4% H 23% G 9% C 2% D E F 2% Imports into India (April-November) $28,26 million I H 7% J G 2% K % A 9% B C 4% D E F % Destination of Exports Exports from India $33,979 million J K A % 9% I H 0% G 0% F 3% D E B C 4% I 7% H 0% G 2% J Export from India(April-November) $2,436 million K % F E 2% D A 23% B C 4% 6. What is the region with which India had the highest total trade in ? () USA (2) Other EU (3) OPEC (4) Others (5) None of these 7. In , the amount of Indian exports, million US dollars, to the region with which India had the lowest total trade is approximately: () 750 (2) 340 (3) 220 (4) 440 (5) In , the trade deficit with respect to India, billion US dollars, for the region with the highest trade deficit with respect to India, is approximately equal to : () 6.0 (2) 3.0 (3) 4.5 (4) 7.5 (5) What is the region with the lowest trade deficit with India in ? () USA (2) Asia (3) Others (4) Other EU (5) None of these VistaMind Chapter 4 Pie Charts BMM of 68

3 Directions for (Que. 0-2): The questions are based on the pie charts Given further: Road, 22% Airfreight, % Ship, 9% Rail 2% Road Airfreight 7% Ship 0% Rail, 9% Pipeline, 49% Pipeline 6 Chart shows the distribution of twelve million tones of crude oil transported through different modes over a specific period of time. Chart 2 shows the distribution of the cost of transporting this crude oil. The total cost was Rs. 30 million. 0. The cost in rupees per tonne of oil moved by rail and road happens to be roughly: () 3 (2).5 (3) 4.5 (4) 4.8 (5) 5. From the charts given, it appears that the cheapest mode of transport is: () Road (2) Rail (3) Pipeline (4) Ship (5) None of these 2. If the cost per tonne of transport by ship, air and road are represented by P, Q and R respectively, which of the following is true? () R > Q > P (2) P > R > Q (3) P > Q > R (4) R > P > Q (5) Data Insufficient Directions for (Que. 3-4): The pie charts give the data about a textile manufacturing unit exporting to different countries. Value Quanity Pakistan 7% India Pakistan 8% India 22% Turkey 28% USA Turkey 27% USA 7% Swizerland Swizerland The total value is 5760 million Euro and the total quantity is.055 million tonnes. VistaMind Chapter 4 Pie Charts BMM of 68

4 3. Which country has the highest price for its supply? () Pakistan (2) Turkey (3) Switzerland (4) India 4. What is the price in Euro/kg for Turkey? () 6.3 (2) 5.6 (3) 4.8 (4) 4.5 (5) 5.9 Directions for (Que. 5-9): These questions are based on the pie chart given below: Constituents of Sunrays Received in minute Microwaves Radiowaves X-Rays 30% Alpha Rays 0% Gamma Rays Beta Rays Total Surays received in minutes = 0 units IR Rays 0% UV Rays 5. If the human body can withstand a maximum of 9720 units of IR rays, When exposed to the sun continuously, then what is the maximum time (in minutes) that any person could stand in the sun without crossing the threshold limit of IR rays? () 9 (2) 23 (3) 27 (4) 29 (5) The amount of Beta rays in 0 minutes of sunrise is how many times the amount of IR rays in 3 minutes of sunrays? ().33 (2).44 (3).66 (4).55 (5) How many minutes of exposure to the sun in a day would be enough to ensure that the body receives enough amount of vitamin D, given that the body requires 40 units of Vitamin D every day and that 30 units of Beta rays generate in unit of Vitamin D? () (2) 5 3 (3) 6 3 (4) (5) The amount of Alpha rays received in 2 minutes is how much more/less than the amount of radio waves received in 4 minutes? () 200 units less (2) 320 unites more (3) 440 units less (4) 600 units more (5) 584 units more 9. If presently the ozone layer in the atmosphere reflects away 60% of the sun s rays then what would the amount of Gamma rays received in one minute be, if the ozone layer were to completely disappear? () units (2) 200 units (3) 300 units (4) 450 units (5) 500 units VistaMind Chapter 4 Pie Charts BMM of 68

5 Directions for (Que ): These questions are based on the pie charts which give statistics of international students pursuing post graduation in the United states in the year Other % UK 4% Germany 3% Philipines 7% South Korea Distribution of Nationality India 24% Hongkong 4% Portuga l 9% Spa in 2% China Management 35 o Distribution of Graduation Others 30 o Humanities 60 o Engineering 35 o The number of international students pursuing post graduation in US in the given year is 80, What percentage do students from India and China form of the students from all the other countries (excluding others) given in the pie chart? () 96.78% (2) 95.2% (3) 95.6 (4) 92.0% (5) 94.0% 2. How many students from the country which has the maximum representation in the year 2000 are pursuing a management course? (Assuming that the nationwide distribution of the students of each graduation stream is as per the graph of distribution by nationality) () 7200 (2) 9000 (3) 9200 (4) 8000 (5) Cannot be determined 22. If the number of students pursuing post graduation in USA in the year 2000 from Spain and Portugal is 2 of the number of domestic students pursuing MS in USA, then what is the total number of domestic students pursuing MS in USA? () 6000 (2) 00 (3) (4) (5) None of these 23. If it is known that a total of 3,60,000 students are pursuing post graduation in USA in 2000, then approximately what percentage of it is compared of students from Asian countries, (i.e., China, India, South Korea, Philippines and Hongkong)? () 6. (2) 3. (3) 9% (4) 7% (5) 24. What is the number of India students pursuing either Engineering or Management as a percentage of number of Chinese student pursuing any course other than engineering and management in USA in the year 2000? (Use data given in question 22) () (2) 2 (3) % (4) 440% (4) 3 VistaMind Chapter 4 Pie Charts BMM of 68

6 Directions for (Que ): The questions are based on the pie charts given below: (Figures show percentage) Govt. Owned Corporations, 4.6 Domestic Trust Funds,.6 Govt. Agencies, Total Capital : Rs 35,000 cr PF Trusts, Domestic 2.85 Fis, 4.08 NRIS 4.62 FIIS 3.62 Domestic Individuals, Govt. Agencies,.9 Domestic Trust Funds,.44 Govt. Owned corp, Total capital : Rs 4, 500 cr PF Trust, 2.7 NRI, 4.58 Flls, 2.96 Domestric Fis, 4.54 Domestic Individua ls, What is the growth rate of the capital invested by domestic individuals from 99 to 993, if its share of the total capital in 993 is 3 percentage points more than that in 99? (Total capital for 993 being the same as that of 992) () 5.7% (2) 30.3% (3) 5.2% (4) 25.2% (5) 35.8% 26. What is the increase/decrease in capital provided by PF Trusts from 99 to 992? () Decrease of Rs 52 crores (2) Increases of Rs 75 crores (3) Increase of Rs 23 crores (4) Decrease of Rs 23 crores (5) None of these 27. What has been the approximate rate of growth of the capital invested by Government owned corporations from 99 to 992? () 33% (2) 2 (3) 8% (4) (5) 48% 28. What is the percentage point difference between the contributions of all share holders other than domestic individuals over the two years? () Increase of 2.29 percentage points (2) Decrease of 3.82 percentage points (3) Decrease of 2.29 percentage points (4) No change. (5) None of these Directions for (Que ): Answer the questions base on the following information: Paints market in 2000 (Percentage of market share on revenue) paint market is divided into decorative and industrial points. Decorative paints Industrial Plants Total Paint industry Other 8% ICI 9% AP 3 Other 22% AP 4% Other, 28. AP, 28% J & N 7% Shalimar 7% BP 9% GN ICI 2% BP % GN 4% ICI, 0% BP, 9.7% GN, 23.7% VistaMind Chapter 4 Pie Charts BMM of 68

7 29. What is the ratio of market share of AP in decorative paints to that of GN in industrial paints? () 0.83 (2) 0.93 (3).7 (4) 2.8 (5) What will be the market share of Ap in decorative paints in 200, if its sales in this category is twice its sales in 2000 in the decorative paints category? () 5.8% (2) 70% (3) 2.3% (4) 6 (5) Cannot be determined 3. If for BP, in industrial paints, exports, sales constitute half of its total sales, then What is its market share in the exports segment of industrial paints? () 5. (2) % (3) Cannot be determined (4) None of these 32. If AP captures half of the market of the rest of the brands in the industrial paints segments, then its new market share in the industrial paints would be () 2% (2) 28% (3) 57% (4) 60% (5) If the paint industry comprises only decorative and industrial paints, then what is the total sales of the paints industry in 200, if the total sales of decorative paints in the same year is Rs 2000, crore? () Rs 4000 crore (2) Rs 5000 crore (3) Rs 3000 crore (4) Rs crore (5) Rs crore Directions for (Que ): Study the following graphs which show the number of workers of different categories of a factory for two different years. The total of workers in 998 was 2000 and in 2000 was T 22% S 24% 998 U 8% P 3% R Q 8% S T 8% 2000 R U 0% P % Q In which of the categories is the number of workers same in both the years? () P (2) S (3) R (4) T (5) U 35. Find the percentage increase in the number of workers in category U in 2000 () 2 (2) 2 33 % (3) 50% (4) 66 % (5) 60% What is the total number of increased workers for the categories in which the number of workers has been increased? () 468 (2) 382 (3) 408 (4) 68 (5) Which categories have shown decrease in the number of workers from 998 to 2000? () P (2) Q (3) R (4) T (5) S VistaMind Chapter 4 Pie Charts BMM of 68

8 38. Find the maximum difference between the number of workers of any two categories taken together for any one year and that of any two for the other year. () 660 (2) 46 (3) 636 (4) 502 (5) 348 Directions for (Que ): The pie charts below show the break-up of the total revenue and total sales volume for a company, for the year ended Total revenue = Rs.,39,200 million and total sales volume = 65 unit. Based on the data provided, in both the figures, answer the questions that follow. M 800, 48% Break-up of total revenue Esteem, Zen, 3% Omni, Alto, % Esteem Zen Omni Alto M 800 M 800, 58% Break-up of total sales Esteem, Alto, 8% Esteem Zen Omni Alto M 800 Zen, 3% Omni, % 39. What is the net revenue per Esteen sold, approximately? () Rs. 4,8,000 (2) Rs 3,48,000 (3) Rs. 5,32,000 (4) Rs. 3,26,000 (5) Rs. 4,48, The highest net revenue per vehicle comes from () M 800 (2) Omni (3) Esteem (4) Zen (5) None of these 4. If volume of sales of Omni was increased by 2 and this sales increase was entirely at the cost of M 800, then what is the percentage decrease in M 800 volume sales? ().3% (2) 2.4% (3) 4.3% (4) 4.7 (5) 5.% 42. If the net revenue from Alto was to be excluded, What percent of the revenue would Zen form? () 3.27% (2) 3.7% (3) 3.37% (4) 3.47% (5) 3.9% 43. Which of the following is true? (i) The sum of the revenue generated by Zen and Omni is lesser than twice that of Alto. (ii) If the revenue of Esteem and Alto be interchanged, Alto s revenue per unit would be more than that for Zen. (iii) The revenue per unit of Esteem is greater than that for M 800. () (i) Only (2) (ii) Only (3) (iii) Only (4) Both (ii) and (iii) (5) None of these VistaMind Chapter 4 Pie Charts BMM of 68

9 Use HB pencil only. Abide by the time-limit SCORE SHEET VistaMind Chapter 4 Pie Charts BMM of 68

10 Answers Chapter - 4. () 0. (2) 9. (4) 28. (3) 37. (4) 2. (2). () 20. (4) 29. () 38. () 3. (4) 2. (3) 2. (3) 30. (5) 39. () 4. (4) 3. (3) 22. () 3. (3) 40. (4) 5. (3) 4. (2) 23. (3) 32. (3) 4. (4) 6. (3) 5. (3) 24. (3) 33. (3) 42. (3) 7. (2) 6. (3) 25. () 34. (2) 43. (4) 8. () 7. (4) 26. (4) 35. (3) 9. () 8. (3) 27. (2) 36. (3) VistaMind Chapter 4 Pie Charts BMM of 68

11 Solutions & Explanations of chapter - 4. () Required percentage increase in operating profit 6-30 = = 23% (2) interesting = 30% of 30 = Rs. 39 lakh Interest in = 40% of 60 = Rs. 64 lakh \ Difference = (64-39) = Rs. 25 lakh. 3. (4) As calculated in the previous question, total interest = ( ) = Rs. 03 lakh. Given that, this interest is calculated on of the borrowed fund. Hence borrowed funds 03 = = Rs. 55 lakh (4) Retained profit in = (2 of 30) = Rs lakh. Retained profit in = ( of 60) = Rs. 32 lakh ( ) = =. decrease (3) Total dividend earned by shareholders in = (8% of 60) = Rs 2.8 lakh. 6. (3) Total trade = Import + Export. Total trade for USA (A) = (9 +9) = 28%, other EU (C) = (2 +4) = 2, OPEC (H) = (23 + 0) = 33%, others (K) = ( + ) = 2%. It is therefore clear that total trade is highest for OPEC. 7. (2) India had the lowest total trade to others region represented by K. Hence exports to region K = % of $ 33,979 million or $ 340 million. 8. () Trade deficit for the region H is the highest and is equal to ( 40, , ) = ( 9,379 3,398) or $ 6 billion. - = 5,98 million 9. () lowest trade deficit is represented by region A and is equal to ( 40, , ) = $ million. 0. (2) Volume transported by rail and road = (22 + 9) = 3% of 2 = 3.72 million tonnes Cost of transportation by rail and road = (2 + 6) = 8% of 30 = Rs. 5.4 million. \ Cos in Rs. Per tonne 5.4 = =.45 or () Cheapest mode of transportation has least cost per tonne Road 6 = = 0.27, Rail 22 2 = =.33, Pipeline 9 65 = =.32, 49 0 Ship = =. 9 It is clear that cheapest made of transportation is Road. 2. (3) In the previous question we have calculated the cost per tonne of road and ship as 0.27 and. respectively. Cost of transportation per tonne for air 7 = = 0.63 Hence cost of transportation can be ranked as ship > Air > Road. Or P > Q > R. 3. (3) In solving such question, students are not required to calculate the comparitive price for its supply for each option separately. Sicne the total value of supply and quantity is same for each country then a mere approximation will solve the question. Price for its supply for Pakistan 7 28 = = 0.94, Turkey = =.03, 8 27 Swizerland =.25 and India = Now we see that Swizerland has the highest price for its supply. 4. (2).055 million tonnes =,055 million kg. 5,760 \ Price in Euro/kg for Turkey = = 5.46,055 or 5.6 (nearest answer) 5. (3) Amount of IR rays received in minute 36 = 0 = Maximum tolerable limit of IR rays = 9720 units \ Maximum time one can be exposed to the sun = = min. 6. (3) Beta rays in minute of sunshine 8 = 0 = 80 units Beta rays in 0 minutes of sunshine = 80 0 = 800 units 36 IR rays in minute of sunshine = 0 = units Amount of IR Rays in 3 minutes of sunshine = 3 = 080 units Hence, required ratio = = times. 7. (4) Beta rays in minute = 0 8 = 80 units \ 30 unites of Beta rays = unit of Vitamin D \ 80 unit of Beta rays = 6 unit of Vitamin D \ minute of sunshine = 6 units of vitamin D \ 40 units of Vitamin D is generated in = minutes 8. (3) Alpha rays received in 2 min = 2 Radio waves reveived in 4 min = 260 units 36 0 = 720 units VistaMind Chapter 4 Pie Charts BMM of 68

12 \ Alpha rays in 440 units less than radio waves. 9. (4) In atmosphere with ozone, gamma rays = units comprise 60% of the rays. If the ozone layer were to disappear, we would receive % of the rays. Hence, amount of gamma rays = = 450 units. 20. (3) Students from China and India = = 44% Students from all countries in the graph except other category = 4 Hence, required percentage = 40 = = () The country with the maximum representation in 2000 in India. Number of students from India 80, = = 9, Students for India taking up management = = (4) Portugal + Spain = 80, = = is 2 of domestic students pursuing MS in USA. \ Domestic students pursuring MS in USA = (2) Students of Asian countries comprise = = 80, Students of Asian countries comprise = = Hence, required % = = (3) Indian students pursuing engineering on management = 24% of 80, Chinese students Pursuing other course = of 80, Hence, required % = % 25. (4) Domestic individuals in 99 = 53.5 of total \ Domestic individuals in 993 = % = 56.5 of total In of 35,000 crore = crore In of 4500 crore = crore \ Growth ( ) = = = 25.2% (3) PF Trust in 99 = 2.8 of Rs crore = Rs crore PF Trust in 992 = 2.7% of Rs 4500 crore = Rs 20.5 crore \ Increase = Rs 23 crore 27. () Share of Government owned corporations in 99 = 4. of 35,000 = Rs 53.5 crore Government owned corporations in 992 = 6.34% of 4500 = Rs crore % increase = % (3) Contribution of all shareholders other than domestic individuals in 99 = (i) Constribution of all shareholders other than domestic individuals in 992 = (ii) \ Difference = = () Required Ratio =» = = (4) Sales of other brands in 200 is not given So, the market share of AP Cannot be determined. 3. (3) Data about exports of other brands in not given. 32. (3) The market share lost by the rest of the brands = 0.5 ( - 4) = 43% New market share of AP = = 57% 33. (3) For AP, We can say that a mixture of 3 (decorative) and 4% (industrial) leads to an average market share of 28%. Hence, the ratio of sales of decorative to industrial paints is 2 : Thus, the total sales of paint industry is.5 times the sales of decorative paints - Rs 3,000 crore. 34. (2) Number of workers in category S in 998 Number of workers in category S in (3) Number of workers is category U in 998 Number of workers is in category U in Required % = = 50% = 2, 000 = = 2, 400 = = 2, 000 = 60 0 = 2, 400 = (3) Number of workers in 998 U = 60, P = 260, Q = 600, R = 384, S = 480, T = 440 Number of worker in 2000 U = 240, P = 264, Q = 600, R = 384, T = 432 Required number = = 408 VistaMind Chapter 4 Pie Charts BMM of 68

13 37. (4) 38. () Required number = ( ) - ( ) = () Total revenue for Esteem Total number of Esteem sold Revenue per unit Esteem Unit = 48 million = Rs. 4,8, (4) For M 800 Revenue = million 20 = 65 = = million = = million Revenue per vehicle = =.44 million 58 5 For Omni Revenue 2 = = million 3 Revenue per unit = (4) Units of Omni = 65 Increase in the number of units 58 Units of M 800 = 65 = =.74 million = 65 = Percentage Decrease % = = Rs,25,32 million Revenue from Alto 42. (3) Revenue from Zen Percentage for Zen 3476 = 3.37% = = = Rs,25,32 million 3 = = Rs 34,76 million Number of units = Revenue per vehicle = 65 For Zen 3 Total revenue = Number of units = 65 = 3.32 million 43. (4) (i) It is not true as Zen + Omni is 24% of total revenue which is more than 2 = 22%. (ii) Revised revenue per unit for Alto 7 = = 3.7% million 8 65 (iii) From the calculation for Qs. 55 and 56 Revenue per unit Esteem =.48 million and Revenue per unit M 800 =.44 million Hence, both (ii) and (iii) are true. VistaMind Chapter 4 Pie Charts BMM of 68

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