Pie Chart
Name: _____________________
Date: _____________________
Instructions: Answer all questions. Write your answers clearly in the space provided.
Directions (1 - 5): Study the following pie-chart and table carefully and answer the questions given below: Percentage-wise Distribution of the Number of Mobile phones Sold by a Shopkeeper During Six Months.
Ratio of mobile phones sold of Company A & Company B. Total number if mobile phones sold = 45000 Month Ratio (A : B) July 8 : 7 August 4 : 5 September 3 : 2 October 7 : 5 November 7 : 8 December 7 : 9
If the shopkeeper earned a profit of Rs. 433 on each mobile phone sold of company B during October, what was his total profit earned on the mobile phones of that company during the same month?
What is the ratio of the number of mobile phones sold of company B during July to those sold during December of the same company?
The number of mobile phones sold of Company A during July is approximately what percent of the number of mobile phones sold of company A during December?
If 35% of the mobile phones sold by company A during November were sold at a discount, how many mobile phones of company A were sold without a discount, during that month?
What is the total number of mobile phones Sold of company B during August and September together?
Directions (1 - 5): Refer to the pie-chart and the table carefully and answer the given question. Distribution of total number of cellular phones (both Nokia and Samsung) sold by six stores in October. Ratio of the number of Nokia cellular phones sold to that of Samsung cellular phone sold. Store Ratio P 4 : 3 Q 3 : 1 R 5 : 4 S 7 : 6 T 1 : 4 U 11 : 10
What is the central angles corresponding to the total number of cellular phones (both Nokia and Samsung) sold by store S?
What is the average of Nokia cellular phones sold by store P, R, S and T together?
What is the ratio of the number of Nokia cellular phones sold by store S to the Samsung cellular phones sold by store T and U together?
The number of Nokia cellular phones sold by store R is what percent more than that of Samsung cellular phones sold by store P and Q together?
The total number of cellular phones (both Nokia and Samsung) sold by store Q increased by 15% from October to November and the same of cellular phones sold by store T increased by 5% from October to November. What was the total number of cellular phones sold by store Q and T together in November?
Directions (1 - 5): Based on the data given on the pie-chart. Solve the questions which follow : Percentage Sales of different models of Computers in Kolkata in two different years . Given total sales in 1998 is 7890 and increase 16.5% in 1999.
The percentage change in the sales of Toshiba in 1999 is approximately :
Which brand of computers among those shown, exhibited the second highest rate of growth in two years and had less sales in 1999 than 1998?
What is the ratio between the Compaq sales in 1998 and those IBM in 1999?
For which brand of computers, did the sales increase the maximum in terms of absolute value between the two years?
IBM's sales in 1998 is what percentage of the sales of Samsung in 1999?
Directions (1 - 5): Study the following pie-charts carefully and answer the questions that follow: Percentage of Students Enrolled in Different Streams in a College. Total Number of Students = 3500. Percentage Break-up of Girls Enrolled in These Streams Out of The Total Students. Total Number of Girls = 1500.
What is the ratio of the number of girls enrolled in Arts to the number of boys enrolled in Science?
The number of girls enrolled in Arts, Science and Commerce forms what percent of total number of students in the college?
What is the total number of girls enrolled in Science and Commerce together?
What is the total number of boys enrolled in Management and IT together?
If 20% of the girls enrolled in science change their stream to Management, then what will be the new number of Management students altogether?
Directions (1 - 4): Study the pie chart and answer the given questions. The total expenditure of a company for a particular month is Rs. 60000. The various heads of expenditure I to IV are indicated in a pie chart given below. These heads are:
What percentage of total expenditure is on electricity?
What percentage of total expenditure is on raw materials?
Total expenditure on conveyance is?
What is the amount spent on overhead expenses?
Directions (1 - 4): Study the following pie-chart carefully and answer the questions given below: Cost Estimated by a Family in Renovation of their House.
What is the cost estimated by the family on painting and flooring together?
What is the difference in the amount estimated by the family on interior decoration and that on architect’s fee?
The family gets a discount on furniture and pays 12% less than the estimated cost on furniture. What is the amount spent on furniture?
Other than getting the discount of 12% on the estimated cost of furniture and actual miscellaneous expenditure being Rs. 10200 instead of the estimated one, the family's estimated cost is correct. What is the total amount spent by the family in renovating its house?
Directions (1 - 5): Study the chart and answer the questions:
The operating Profit in 1991-92 increased over in 1990-91 by
The interest burden in 1991-92 was higher than that in 1990-91 by
If on an average, 20% rate of interest was charged on borrowed funds, then the total borrowed funds used by this company is the given 2 yr amounted to
The retained profit in 1991-92, as compared to that in 1990-91 was:
The equity base of those companies remained unchanged. Then, the total dividend earnings by the share holders in 1991-92 is
Directions (1 - 5): Study the following pie-chart and the table given below it carefully to answer the questions given below: Percentage-wise distribution of lecturers in 6 different subjects in a total number of lecturers: 1600. Ratio of male to female lecturers Lecturers Males : Females Mathematics 3 : 4 Education 5 : 3 Hindi 1 : 3 Chemistry 1 : 7 Physics 9 : 5 Zoology 7 : 9
What is the difference between the total number of lecturers (both male and female) is Zoology and the total number of male lecturers in Chemistry and Education Together?
What is the total number of male lecturers in the university?
Total number of lecturers (both male and female) in Hindi is approximately what percent of the total number of female lecturers in Mathematics and chemistry together?
What is the difference between the number of female lecturers in Zoology and the number of male lecturers in Hindi?
What is the ratio of the number of female lecturers in Physics to the number of male lecturers in Mathematics?
Directions (1 - 4): Study the chart and answer the questions:
The pie chart given here represents the domestic expenditure of a family in percent. Study the chart and answer the following questions if the total monthly income of the family is Rs. 33,650
The house rent per month is:
The annual savings in the form of provident fund would be:
After providential fund deductions and payment of house rent, the total monthly income of the family remains:
The total amount per month, the family spends on food and entertainment combined together, is:
Directions (1 - 5): Refer to the pie-chart and answer the given questions. Distribution of total number of Dell Laptops Sold by 5 Stores. Distribution of number of Laptops (both Dell and Lenovo) Sold by 5 Stores in 2011.
Number of Dell laptops sold by store Q is approximately what percent of the number of the number of laptops (both Dell and Lenovo) sold by store R?
Number of Dell laptops sold by store T is what percent more than the number of laptops sold by store P?
What is the average number of Dell Laptops sold by stores, P R and S together?
What is the difference between number of laptops (both Dell and Lenovo) sold by store Q and total number of Lenovo laptops sold by store R and S together?
What is the central angle corresponding to number of Dell laptops sold by store S?
Answer Key
& = 45000 imesfrac{8}{100} imesfrac{5}{12} cr
& = 1500 cr
& herefore ext{Required profit} cr
& = ext{Rs. }left(1500 imes433
ight) cr
& = ext{Rs. 649500} cr} $$
& = 45000 imesfrac{17}{100} imesfrac{7}{15} cr
& = 3570 cr} $$ Number of mobile phones sold by B during December $$eqalign{
& = 45000 imesfrac{16}{100} imesfrac{9}{16} cr
& = 4050 cr
& herefore ext{Required ratio} cr
& = frac{3570}{4050} cr
& = frac{119}{135} cr
& = 119:135 cr} $$
& = 45000 imesfrac{17}{100} imesfrac{8}{15} cr
& = 4080 cr} $$ Number of mobile phones sold by A during December $$eqalign{
& = 45000 imesfrac{16}{100} imesfrac{7}{16} cr
& = 3150 cr
& ext{Let 4080 = }x\% ext{ of 3150} cr
& ext{Then,} cr
& frac{x}{100} imes3150 = 4080 cr
& Rightarrow x = frac{4080 imes2}{63} cr
& Rightarrow x = 129.5 cr
& Rightarrow x approx 130 cr
& ext{Required percentage = 130%}cr} $$
& = 45000 imesfrac{12}{100} imesfrac{7}{15} cr
& = 2520 cr} $$ Number of phones sold by A in November without discount $$eqalign{
& = 2520 imesfrac{65}{100} cr
& = 1638 cr} $$
& = 45000 imesfrac{22}{100} imesfrac{5}{9} cr
& = 5500 cr} $$ Mobile phones of B sold during September $$eqalign{
& = 45000 imesfrac{25}{100} imesfrac{2}{5} cr
& = 4500 cr} $$ ∴ Required number of phones sold = 5500 + 4500 = 10000
& herefore ext{ Required ratio} cr
& = frac{1568}{2432} cr
& = frac{49}{76} cr
& = 49:76 cr} $$
& herefore ext{Required percentage} cr
& = frac{1120-952}{952} imes100 cr
& = frac{16800}{952}\% cr
& = frac{300}{17}\% cr
& = 17frac{11}{17}\% ext{ more} cr} $$
Sales of Toshiba = 12% = $$frac{7890 imes12}{100}$$ = 946.8
≈ 947 Total sales in 1999 = 7890 + (16.5% of 7890) = 9191
Sales of Toshiba = 8% of 9191 = 735 Change in sales = 947 - 735 = 212
% change = $$frac{212 imes100}{986}$$ = 21.5% ≈ 22%
= 21% = $$frac{7890 imes21}{100}$$ =1657
Sales of IBM in 1999,
= 17% = $$frac{9191 imes17}{100}$$ = 1562
Ratio = $$frac{1657}{1562}$$ = 1.06 We have calculated total sales in 1999 is 9191 in question no. 1.
& ext{IT → } frac{20}{100} imes3500 = 700 cr
& ext{Arts → } frac{30}{100} imes3500 = 1050 cr
& ext{Science → } frac{22}{100} imes3500 = 770 cr
& ext{Commerce → } frac{12}{100} imes3500 = 420 cr
& ext{Management → } frac{16}{100} imes3500 = 560 cr} $$ Number of girls enrolled in various streams: $$eqalign{
& ext{IT → } frac{18}{100} imes1500 = 270 cr
& ext{Arts → } frac{38}{100} imes1500 = 570 cr
& ext{Science → } frac{11}{100} imes1500 = 165 cr
& ext{Commerce → } frac{21}{100} imes1500 = 315 cr
& ext{Management → } frac{12}{100} imes1500 = 180 cr} $$ (Number of girls enrolled in Arts) : (Number of boys enrolled in Science) = 570 : (770 - 165) = 570 : 605 = 114 : 121
& ext{IT → } frac{20}{100} imes3500 = 700 cr
& ext{Arts → } frac{30}{100} imes3500 = 1050 cr
& ext{Science → } frac{22}{100} imes3500 = 770 cr
& ext{Commerce → } frac{12}{100} imes3500 = 420 cr
& ext{Management → } frac{16}{100} imes3500 = 560 cr} $$ Number of girls enrolled in various streams: $$eqalign{
& ext{IT → } frac{18}{100} imes1500 = 270 cr
& ext{Arts → } frac{38}{100} imes1500 = 570 cr
& ext{Science → } frac{11}{100} imes1500 = 165 cr
& ext{Commerce → } frac{21}{100} imes1500 = 315 cr
& ext{Management → } frac{12}{100} imes1500 = 180 cr} $$ Number of girls enrolled in Arts, Science and Commerce = 570 + 165 + 315 = 1050 Required percentage $$eqalign{
& = left(frac{1050}{3500} imes100
ight)\% cr
& = 30\% cr} $$
& ext{IT → } frac{20}{100} imes3500 = 700 cr
& ext{Arts → } frac{30}{100} imes3500 = 1050 cr
& ext{Science → } frac{22}{100} imes3500 = 770 cr
& ext{Commerce → } frac{12}{100} imes3500 = 420 cr
& ext{Management → } frac{16}{100} imes3500 = 560 cr} $$ Number of girls enrolled in various streams: $$eqalign{
& ext{IT → } frac{18}{100} imes1500 = 270 cr
& ext{Arts → } frac{38}{100} imes1500 = 570 cr
& ext{Science → } frac{11}{100} imes1500 = 165 cr
& ext{Commerce → } frac{21}{100} imes1500 = 315 cr
& ext{Management → } frac{12}{100} imes1500 = 180 cr} $$ Total number of girls enrolled in Science and Commerce together = 165 + 315 = 480
& ext{IT → } frac{20}{100} imes3500 = 700 cr
& ext{Arts → } frac{30}{100} imes3500 = 1050 cr
& ext{Science → } frac{22}{100} imes3500 = 770 cr
& ext{Commerce → } frac{12}{100} imes3500 = 420 cr
& ext{Management → } frac{16}{100} imes3500 = 560 cr} $$ Number of girls enrolled in various streams: $$eqalign{
& ext{IT → } frac{18}{100} imes1500 = 270 cr
& ext{Arts → } frac{38}{100} imes1500 = 570 cr
& ext{Science → } frac{11}{100} imes1500 = 165 cr
& ext{Commerce → } frac{21}{100} imes1500 = 315 cr
& ext{Management → } frac{12}{100} imes1500 = 180 cr} $$ Total number of boys enrolled in Management and IT together = (560 - 180) + (700 - 270) = 380 + 430 = 810
& ext{IT → } frac{20}{100} imes3500 = 700 cr
& ext{Arts → } frac{30}{100} imes3500 = 1050 cr
& ext{Science → } frac{22}{100} imes3500 = 770 cr
& ext{Commerce → } frac{12}{100} imes3500 = 420 cr
& ext{Management → } frac{16}{100} imes3500 = 560 cr} $$ Number of girls enrolled in various streams: $$eqalign{
& ext{IT → } frac{18}{100} imes1500 = 270 cr
& ext{Arts → } frac{38}{100} imes1500 = 570 cr
& ext{Science → } frac{11}{100} imes1500 = 165 cr
& ext{Commerce → } frac{21}{100} imes1500 = 315 cr
& ext{Management → } frac{12}{100} imes1500 = 180 cr} $$ Number of Management students already enrolled = 560 New required number $$eqalign{
& = 560 + left(frac{20}{100} imes165
ight) cr
& = 560+33 cr
& = 593 cr} $$
& = frac{72}{360} imes100 cr
& = 20\% cr} $$
& = frac{90}{360} imes100 cr
& = 25\% cr} $$
& = frac{90}{360} imes60000 cr
& = ext{Rs. 15000} cr} $$
& = frac{108}{360} imes60000 cr
& = ext{Rs. 18000} cr} $$
& = ext{Rs. } frac{15+14}{100} imes120000 cr
& = ext{Rs. } frac{29}{100} imes120000 cr
& = ext{Rs. 34800} cr} $$
& ext{Required Difference} cr
& = ext{Rs. } frac{19-11}{100} imes120000 cr
& = ext{Rs. } frac{8}{100} imes120000 cr
& = ext{Rs. 9600} cr} $$
& ext{Amount spent on furniture} cr
& = ext{Rs. } frac{88}{100} imesfrac{13}{100} imes120000 cr
& = ext{Rs. 13728} cr} $$
& = ext{Rs. } frac{13+8}{100} imes120000 cr
& = ext{Rs. } frac{21}{100} imes120000 cr
& = ext{Rs. 25200} cr
& ext{Actual cost of furniture} cr
& = ext{Rs. } frac{88}{100} imesfrac{13}{100} imes120000 cr
& = ext{Rs. 13728} cr} $$ Actual cost of furniture and miscellaneous expenditure = Rs. (13728 + 10200) = Rs. 23928 Total amount spent in renovating the house = Rs. (120000 - 25200 + 23928) = Rs. 118728
ight) imes100}{130}$$ = 23.07% ≈ 23%
& ext{Chemistry → } frac{13}{100} imes1600 = 208 cr
& ext{Education → } frac{18}{100} imes1600 = 288 cr
& ext{Hindi → } frac{12}{100} imes1600 = 192 cr
& ext{Mathematics → } frac{21}{100} imes1600 = 336 cr
& ext{Physics → } frac{14}{100} imes1600 = 224 cr
& ext{Zoology → } frac{22}{100} imes1600 = 352 cr} $$ Subject Number of Males Number of Females Chemistry 208 × $$frac{1}{8}$$ = 26 208 - 26 = 182 Education 288 × $$frac{5}{8}$$ = 180 288 - 180 = 108 Hindi 192 × $$frac{1}{4}$$ = 48 192 - 48 = 144 Mathematics 336 × $$frac{3}{7}$$ = 144 336 - 144 = 192 Physics 224 × $$frac{9}{14}$$ = 144 224 - 144 = 80 Zoology 352 × $$frac{7}{16}$$ = 154 352 - 154 = 198 Required difference = 352 - (26 + 180) = 352 - 206 = 146
& ext{Chemistry → } frac{13}{100} imes1600 = 208 cr
& ext{Education → } frac{18}{100} imes1600 = 288 cr
& ext{Hindi → } frac{12}{100} imes1600 = 192 cr
& ext{Mathematics → } frac{21}{100} imes1600 = 336 cr
& ext{Physics → } frac{14}{100} imes1600 = 224 cr
& ext{Zoology → } frac{22}{100} imes1600 = 352 cr} $$ Subject Number of Males Number of Females Chemistry 208 × $$frac{1}{8}$$ = 26 208 - 26 = 182 Education 288 × $$frac{5}{8}$$ = 180 288 - 180 = 108 Hindi 192 × $$frac{1}{4}$$ = 48 192 - 48 = 144 Mathematics 336 × $$frac{3}{7}$$ = 144 336 - 144 = 192 Physics 224 × $$frac{9}{14}$$ = 144 224 - 144 = 80 Zoology 352 × $$frac{7}{16}$$ = 154 352 - 154 = 198 Total number of male lecturers in the university = 26 + 180 + 48 + 144 + 144 + 154 = 696
& ext{Chemistry → } frac{13}{100} imes1600 = 208 cr
& ext{Education → } frac{18}{100} imes1600 = 288 cr
& ext{Hindi → } frac{12}{100} imes1600 = 192 cr
& ext{Mathematics → } frac{21}{100} imes1600 = 336 cr
& ext{Physics → } frac{14}{100} imes1600 = 224 cr
& ext{Zoology → } frac{22}{100} imes1600 = 352 cr} $$ Subject Number of Males Number of Females Chemistry 208 × $$frac{1}{8}$$ = 26 208 - 26 = 182 Education 288 × $$frac{5}{8}$$ = 180 288 - 180 = 108 Hindi 192 × $$frac{1}{4}$$ = 48 192 - 48 = 144 Mathematics 336 × $$frac{3}{7}$$ = 144 336 - 144 = 192 Physics 224 × $$frac{9}{14}$$ = 144 224 - 144 = 80 Zoology 352 × $$frac{7}{16}$$ = 154 352 - 154 = 198 $$eqalign{
& ext{Required %} cr
& = left(frac{192}{192+182} imes100
ight)\% cr
& = left(frac{192}{374} imes100
ight)\% cr
& = frac{9600}{187}\% cr
& = 51.3\% cr
& approx 51\% cr} $$
& ext{Chemistry → } frac{13}{100} imes1600 = 208 cr
& ext{Education → } frac{18}{100} imes1600 = 288 cr
& ext{Hindi → } frac{12}{100} imes1600 = 192 cr
& ext{Mathematics → } frac{21}{100} imes1600 = 336 cr
& ext{Physics → } frac{14}{100} imes1600 = 224 cr
& ext{Zoology → } frac{22}{100} imes1600 = 352 cr} $$ Subject Number of Males Number of Females Chemistry 208 × $$frac{1}{8}$$ = 26 208 - 26 = 182 Education 288 × $$frac{5}{8}$$ = 180 288 - 180 = 108 Hindi 192 × $$frac{1}{4}$$ = 48 192 - 48 = 144 Mathematics 336 × $$frac{3}{7}$$ = 144 336 - 144 = 192 Physics 224 × $$frac{9}{14}$$ = 144 224 - 144 = 80 Zoology 352 × $$frac{7}{16}$$ = 154 352 - 154 = 198 Required difference = 198 - 48 = 150
& ext{Chemistry → } frac{13}{100} imes1600 = 208 cr
& ext{Education → } frac{18}{100} imes1600 = 288 cr
& ext{Hindi → } frac{12}{100} imes1600 = 192 cr
& ext{Mathematics → } frac{21}{100} imes1600 = 336 cr
& ext{Physics → } frac{14}{100} imes1600 = 224 cr
& ext{Zoology → } frac{22}{100} imes1600 = 352 cr} $$ Subject Number of Males Number of Females Chemistry 208 × $$frac{1}{8}$$ = 26 208 - 26 = 182 Education 288 × $$frac{5}{8}$$ = 180 288 - 180 = 108 Hindi 192 × $$frac{1}{4}$$ = 48 192 - 48 = 144 Mathematics 336 × $$frac{3}{7}$$ = 144 336 - 144 = 192 Physics 224 × $$frac{9}{14}$$ = 144 224 - 144 = 80 Zoology 352 × $$frac{7}{16}$$ = 154 352 - 154 = 198 Required ratio = 80 : 144 = 5 : 9
& = 2400 imesfrac{25}{100} cr
& = 600 cr} $$ Percent of Laptops Dell and Lenovo sold by store R = 35% Number of Laptops Dell and Lenovo sold by store R $$eqalign{
& = 4500 imesfrac{35}{100} cr
& = 1575 cr
& herefore ext{Required Percentage} cr
& = frac{600}{1575} imes100 cr
& = 38.095 cr
& approx 38\% cr} $$
& = 2400 imesfrac{21}{100} cr
& = 504 cr} $$ Number of Laptops sold by store P $$eqalign{
& = 2400 imes frac{15}{100} cr
& = 360 cr} $$ Required Percentage $$eqalign{
& = frac{504-360}{360} imes100 cr
& = 40\% cr} $$
& = 2400 imesfrac{54}{100} cr
& = 1296 cr
& herefore ext{ Average} cr
& = frac{1296}{3} cr
& = 432 cr} $$
& = 4500 imesfrac{23}{100} cr
& = 45 imes23 cr
& = 1035 cr} $$ Percent of Laptops Dell and Lenovo sold by R and S together = 35% + 11% = 46% Now, total number of Laptops Lenovo and Dell sold by R and S together $$eqalign{
& = 4500 imesfrac{46}{100} cr
& = 2070 cr} $$ Percent of Dell Laptops sold by R and S together = 30% + 9% = 39% Number of Dell Laptops sold by R and S together $$eqalign{
& = 2400 imesfrac{39}{100} cr
& = 936 cr} $$ Number of Lenovo Laptops = 2070 - 936 = 1134 Required difference = 1134 - 1035 = 99
& = frac{9}{100} imes360 cr
& = 32.4° cr} $$