3 Marks Question

Question 13 Marks

The following pie$-$chart shows the monthly expenditure of Shikha on various items. If she spends $₹ 16000$ per month, answer the following questions:

$i.$ How much does she spend on rent?
$ii.$ How much does she spend on education?
$iii.$ What is the ratio of expenses on food and rent?

Answer

Total expenditure per month $= ₹ 16,000$
$i.$ Expenditure on rent,
$=₹\ 16,000\times\frac{81^\circ}{360^\circ}=₹\ 3,600$
$ii.$ Expenditure on education,
$=₹\ 116,000\times\frac{36^\circ}{360^\circ}=₹\ 1,600$
$iii.$ Expenditure on food,
$=₹\ 16,000\times\frac{135^\circ}{360^\circ}=₹\ 6,000$
$\therefore$ Ratio of expenses on food and rent
$=6000:3600=5:3 ($Dividing by $1200)$

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Question 23 Marks

The following pie$-$chart shows the number of students admitted in different faculties of a college. If $1000$ students are admitted in Science answer the following:

$i.$ What is the total number of students$?$
$ii.$ What is the ratio of students in science and arts$?$

Answer

Students admitted in science $= 1000$ Central angle $= 100^\circ $
$i.$ Total number of students,
$\frac{1000\ \times\ 360}{100}=3600$
$ii.$ Students of arts $=\frac{1000\ \times\ 120}{100}=1200$
$\therefore$ Ratio in science and arts $= 1000 : 1200 = 5 : 6$

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Question 33 Marks

In the pie-chart shows the marks obtained by a student in various subjects. If the student scored $135$ marks in mathematics, find the total marks in all the subjects. Also, find his score in individual subjects.

Answer

Marks obtained in mathematics $= 135$
Central angle $= 90^\circ $
$\therefore$ Total marks obtaines $=\frac{135\ \times\ 360^\circ}{90^\circ}=540$
Marks in Hindi $=\frac{540\ \times\ 60^\circ}{360^\circ}=90$
Marks in English $=\frac{540\ \times\ 62^\circ}{360^\circ}=93$
Marks in Social science $=\frac{540\ \times\ 72^\circ}{360^\circ}=108$
Marks in Science $=\frac{540\ \times\ 76^\circ}{360^\circ}=114$

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Question 43 Marks

In the pie-chart shows the marks obtained by a student in an examination. If the student secures $440$ marks in all, calculate his marks in each of the given subjects.

Answer

Total marks secured by a student $= 440$
Marks in Mathematics $=\frac{440\ \times\ 108^\circ}{360^\circ}=132$
Marks in social science $=\frac{440\ \times\ 45^\circ}{360^\circ}=55$
Marks in Hindi $=\frac{440\ \times\ 54^\circ}{360^\circ}=66$
Marks in english $=\frac{440\ \times\ 72^\circ}{360^\circ}=88$
Marks in Science $=\frac{440\ \times\ 81^\circ}{360^\circ}=99$

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Question 53 Marks

The pie-chart given in represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is $₹\ 112500,$ find the following:

$i.$ Total cost of the flat.
$ii.$ Expenditure incurred on labour.

Answer

Expenditure on cement $= ₹\ 1,12,500$
and its central angle $= 75^\circ $
$i. \ \therefore\text{Total cost}=\frac{₹\ 1,12,500\ \times\ 360^\circ}{75^\circ}$
$=₹\ 5,40,000$
$ii.$ Expenditure on labour,
$=\frac{₹\ 1,12,500\ \times\ 100}{75}$
$=₹\ 1,50,000$

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MATHS 3 Marks Question

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