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61.  Pie-charts show the expenses on various heads show the expenses on various heads in construction of a house. Study the pie-chart.
Direction image of Pie Chart chapter
Direction image of Pie Chart chapter
What percentage of the total amount is being spent on cement in 1991?

Discuss
Solution:
Required percentage = 108°360° × 100 = 30%
62.  Pie-charts show the expenses on various heads show the expenses on various heads in construction of a house. Study the pie-chart.
Direction image of Pie Chart chapter
Direction image of Pie Chart chapter
The percentage increase in the amount spent on labour from 1991 to 2001, given that the total amount spent on the construction of the house is Rs. 360000 in 1991 and Rs. 864000 in 2001 is:

Discuss
Solution:
Expenditure on labourers:Year 1991=360000×90°360°=Rs. 90000Year 2001=864000×100°360°=Rs. 240000Percentage increase=2400009000090000×100=16623%
63.  Study the pie-chart and table given below and answer the questions.
Details of the percentage of employees working in various departments in an organization and number of males among them.
Total number of employees = 800.
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Department No. of Males
Production 245
HR 12
IT 74
Marketing 165
Accounts 93

The percentage of females working in IT department to the total number of employees working in the organization is:

Discuss
Solution:
Number of employees in IT department
= 800 × 20100
= 160
Number of females
= 160 - 74
= 86
∴ Required percentage
= 86800 × 100
= 10.75%
64.  Study the pie-chart and table given below and answer the questions.
Details of the percentage of employees working in various departments in an organization and number of males among them.
Total number of employees = 800.
Direction image of Pie Chart chapter
Department No. of Males
Production 245
HR 12
IT 74
Marketing 165
Accounts 93

The respective ratio between the number of females working in HR department to the total number of employees working in the HR department is:

Discuss
Solution:
Number of employees in HR department
= 5100 × 800
= 40
Numbers of females
= 40 - 12
= 28
∴ Ration = 28 : 40 → 7 : 10
65.  Study the pie-chart and table given below and answer the questions.
Details of the percentage of employees working in various departments in an organization and number of males among them.
Total number of employees = 800.
Direction image of Pie Chart chapter
Department No. of Males
Production 245
HR 12
IT 74
Marketing 165
Accounts 93

The ratio of number of males in marketing department to the number of females working in that department is:

Discuss
Solution:
Total employees in Marketing department = 192
Males = 165
Females = 192 - 165 = 27
∴ Required ratio
= 165 : 27
= 55 : 9
66.  Study the pie-chart and table given below and answer the questions.
Details of the percentage of employees working in various departments in an organization and number of males among them.
Total number of employees = 800.
Direction image of Pie Chart chapter
Department No. of Males
Production 245
HR 12
IT 74
Marketing 165
Accounts 93

The percentage of the number of male employees working in marketing department to the total number of employees in marketing department is:

Discuss
Solution:
Number of employees in marketing department
= 24100 × 800
= 192
∴ Required percentage
= 165192 × 100
= 85.93%
≈ 86%
67.  The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its phase II projects. Study the pie-chart and answer the following three questions:

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If the toll is to be collected through and outsourced agency by allowing a maximum 10% commission how much amount should be permitted to be collected by the outsourced agency, so that the project is supported with Rs. 4,910 crores?

Discuss
Solution:
Let the amount permitted to be collected = Rs. x
x=4910×(1+10100)x=(4910×110100)x=491×11x=Rs. 5401 crores
68.  The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its phase II projects. Study the pie-chart and answer the following three questions:

Direction image of Pie Chart chapter
The central angle corresponding to Market Borrowings is:

Discuss
Solution:
Total funds
= 29952 + 11486 + 5252 + 4910 + 6000
= 57600
57600 = 360°
then,
29952 = 2995257600×100
            = 52°
69.  The following pie-chart shows the sources of funds to be collected by the National Highways Authority of India (NHAI) for its phase II projects. Study the pie-chart and answer the following three questions:

Direction image of Pie Chart chapter
If NHAI could receive a total of Rs. 9,695 crores as External Assistance, by what percent (approximately) should it increase the market Borrowing to arrange for the shortage of funds?

Discuss
Solution:
The amount require for compensation
= 11486 - 9695
= Rs. 1791
% increase in market borrowing
=179129952×100%=5.9%6%
70.  Revenue earned by the Central Government is given in pie-chart. Study the pie-chart and answer 4 questions:
Direction image of Pie Chart chapter
If the percentage of revenue earned by the Central Government from Corporation Tax is X times to that of the percentage of money earned from percentage of money earned from Excise Duty, then the value of x is.

Discuss
Solution:
Corporation tax = x × Excise duty
9 = x × 41
x = 941