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51. Study the pie-chart given below carefully and answer the questions that follow.
Percentage-wise break up of students in terms of specialization in M.B.A.
Total Number of students = 8000.

What is the total number of students having specialisation in IR, marketing and IT?

A. 4640

B. 4080

C. 4260

D. 4400

Discuss

Solution:

Number of students in various specialisations:

\begin{aligned} IB → \frac{19}{100} \times 8000 = 1520 \\ IR → \frac{16}{100} \times 8000 = 1280 \\ Finance → \frac{12}{100} \times 8000 = 960 \\ Marketing → \frac{22}{100} \times 8000 = 1760 \\ IT → \frac{17}{100} \times 8000 = 1360 \\ HR → \frac{14}{100} \times 8000 = 1120 \end{aligned}

Required number of students
= 1280 + 1760 + 1360
= 4400

52. Study the pie-chart given below carefully and answer the questions that follow.
Percentage-wise break up of students in terms of specialization in M.B.A.
Total Number of students = 8000.

What is the ratio of the students having finance as specialisation to students having HR as specialisation?

A. 11 : 19

B. 18 : 13

C. 6 : 7

D. 4 : 7

Discuss

Solution:

Number of students in various specialisations:

\begin{aligned} IB → \frac{19}{100} \times 8000 = 1520 \\ IR → \frac{16}{100} \times 8000 = 1280 \\ Finance → \frac{12}{100} \times 8000 = 960 \\ Marketing → \frac{22}{100} \times 8000 = 1760 \\ IT → \frac{17}{100} \times 8000 = 1360 \\ HR → \frac{14}{100} \times 8000 = 1120 \end{aligned}

\begin{aligned} Required ratio \\ = Finance : HR \\ = \frac{960}{1120} \\ = \frac{6}{7} \\ = 6 : 7 \end{aligned}

53. Study the following pie-chart carefully and answer the questions that follow:
Degreewise Break-up of Expenditure of a Family in a month
Total Amount Spent In a Month = Rs. 45800.

What is the total amount spent by the family on Entertainment and Shopping together?

A. Rs. 9618

B. Rs. 13282

C. Rs. 13740

D. Rs. 11908

Discuss

Solution:

Percentage Break-up of expenditure is:

\begin{aligned} Investments → (\frac{54}{360} \times 100) % \\ = 15 % \\ Commuting → (\frac{79.2}{360} \times 100) % \\ = 22 % \\ Shopping → (\frac{68.4}{360} \times 100) % \\ = 19 % \\ Groceries → (\frac{82.8}{360} \times 100) % \\ = 23 % \\ Medicines → (\frac{39.6}{360} \times 100) % \\ = 11 % \\ Entertainment → (\frac{36}{360} \times 100) % \\ = 10 % \end{aligned}

Amount spent on Entertainment and Shopping

\begin{aligned} = Rs. (45800 \times \frac{10 + 19}{100}) \\ = Rs. (45800 \times \frac{29}{100}) \\ = Rs. 13282 \end{aligned}

54. Study the following pie-chart carefully and answer the questions that follow:
Degreewise Break-up of Expenditure of a Family in a month
Total Amount Spent In a Month = Rs. 45800.

What is the amount spent by the family on commuting?

A. Rs. 10076

B. Rs. 10534

C. Rs. 6870

D. Rs. 8702

Discuss

Solution:

Percentage Break-up of expenditure is:

\begin{aligned} Investments → (\frac{54}{360} \times 100) % \\ = 15 % \\ Commuting → (\frac{79.2}{360} \times 100) % \\ = 22 % \\ Shopping → (\frac{68.4}{360} \times 100) % \\ = 19 % \\ Groceries → (\frac{82.8}{360} \times 100) % \\ = 23 % \\ Medicines → (\frac{39.6}{360} \times 100) % \\ = 11 % \\ Entertainment → (\frac{36}{360} \times 100) % \\ = 10 % \end{aligned}

\begin{aligned} Amount spent on commuting \\ = Rs. (45800 \times \frac{22}{100}) \\ = Rs. 10076 \end{aligned}

55. Study the following pie-chart carefully and answer the questions that follow:
Degreewise Break-up of Expenditure of a Family in a month
Total Amount Spent In a Month = Rs. 45800.

The total amount spent by the family on Groceries, Entertainment and Investment together forms approximately what percent of the amount spent on Commuting?

A. 209%

B. 76%

C. 154%

D. 42%

Discuss

Solution:

Percentage Break-up of expenditure is:

\begin{aligned} Investments → (\frac{54}{360} \times 100) % \\ = 15 % \\ Commuting → (\frac{79.2}{360} \times 100) % \\ = 22 % \\ Shopping → (\frac{68.4}{360} \times 100) % \\ = 19 % \\ Groceries → (\frac{82.8}{360} \times 100) % \\ = 23 % \\ Medicines → (\frac{39.6}{360} \times 100) % \\ = 11 % \\ Entertainment → (\frac{36}{360} \times 100) % \\ = 10 % \end{aligned}

Amount spent on Groceries, Entertainment and Investments

\begin{aligned} = 45800 \times \frac{23 + 10 + 15}{100} \\ = 45800 \times \frac{48}{100} \\ Amount spent on Commuting \\ = 45800 \times \frac{22}{100} \\ Required % \\ = (\frac{45800 \times \frac{48}{100}}{45800 \times \frac{22}{100}} \times 100) % \\ = \frac{2400}{11} % \\ = 218.18 % \\ \approx 218 % \end{aligned}

56. Study the following pie-chart carefully and answer the questions that follow:
Degreewise Break-up of Expenditure of a Family in a month
Total Amount Spent In a Month = Rs. 45800.

What is the ratio of the amount spent by the family on medicine to the amount spent on groceries?

A. 1 : 2

B. 13 : 21

C. 3 : 5

D. 11 : 23

Discuss

Solution:

Percentage Break-up of expenditure is:

\begin{aligned} Investments → (\frac{54}{360} \times 100) % \\ = 15 % \\ Commuting → (\frac{79.2}{360} \times 100) % \\ = 22 % \\ Shopping → (\frac{68.4}{360} \times 100) % \\ = 19 % \\ Groceries → (\frac{82.8}{360} \times 100) % \\ = 23 % \\ Medicines → (\frac{39.6}{360} \times 100) % \\ = 11 % \\ Entertainment → (\frac{36}{360} \times 100) % \\ = 10 % \end{aligned}

(Amount spent on medicine) : (Amount spent on groceries)

\begin{aligned} = (45800 \times \frac{11}{100}) : (45800 \times \frac{23}{100}) \\ = 11 : 23 \end{aligned}

57. In the following question, study the two pie-charts and answer the questions.
April Month's Salary = Rs. 24000.

May Month's Salary = Rs. 25000.

From the salary of May, the amount spent on Grocery and Electricity are:

A. Rs. 6250, Rs. 3360

B. Rs. 960, Rs. 5040

C. Rs. 3500, Rs. 2250

D. Rs. 2160, Rs. 480

Discuss

Solution:

\begin{aligned} Expenditure on grocery \\ = \frac{25000 \times 14}{100} \\ = Rs. 3500 \\ Expenditure on electricity \\ = \frac{25000 \times 9}{100} \\ = Rs. 2250 \end{aligned}

58. In the following question, study the two pie-charts and answer the questions.
April Month's Salary = Rs. 24000.

May Month's Salary = Rs. 25000.

What is the percent increase in Education in May month than April month?

A. 9.56%

B. 12.35%

C. 20%

D. 10.82%

Discuss

Solution:

\begin{aligned} Expenditure on education in April \\ = 24000 \times \frac{47}{100} \\ = Rs. 11280 \\ Expenditure on education in May \\ = 25000 \times \frac{50}{100} \\ = Rs. 12500 \\ Percentage increase \\ = \frac{12500 - 11280}{11280} \times 100 \\ = 10.82 % \end{aligned}

59. In the following question, study the two pie-charts and answer the questions.
April Month's Salary = Rs. 24000.

May Month's Salary = Rs. 25000.

The ratio of amount spent for saving in April month’s salary and miscellaneous in May month’s salary is-

A. 216 : 25

B. 217 : 26

C. 205 : 13

D. 235 : 50

Discuss

Solution:

Required ratio
=

\frac{24000 \times 18}{100}

\frac{25000 \times 2}{100}

= 24 ×18 : 25 × 2
= 216 : 25

60. Pie-charts show the expenses on various heads show the expenses on various heads in construction of a house. Study the pie-chart.

If the total cost of constructing the house is Rs. 3,60,000 in 1991 and Rs. 8,64,000 in 2001, what is the amount spent on Steel in 1991 and 2001?

A. Rs. 2,16,000, Rs. 4,32,000

B. Rs. 60,000, Rs. 84,000

C. Rs. 80,000, Rs. 2,10,000

D. Rs. 50,000, Rs. 1,44,000

Discuss

Solution:

\begin{aligned} Expenditure on steel \\ Year 1991 = \frac{50^{\circ}}{360^{\circ}} \times 360000 \\ = Rs. 50000 \\ Year 2001 = \frac{864000}{360} \times 60 \\ = Rs. 144000 \end{aligned}

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