Data Interpretation

Pie Chart 5

Data Interpretation Exercise Mode

Pie Chart 5

Practice and master this topic with our carefully crafted questions.

9 Questions
14 Minutes
0% Completed
QUEST ? ✓ !
Directions to Solve

The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the questions based on it.

Various expenditures (In Percentage) Incurred in Publishing A Book


Question 1
What is the central angle of the sector corresponding to the expenditure incurred on Royalty ?

A
15º
B
24º
C
54º
D
48º
Correct Answer: Option C
Central angle corresponding to Royalty:
= 15% of 360º = 54º
Question 2
Which two expenditures together have a central angle of 108º ?

A
Binding Cost and Transportation Cost
B
Printing Cost and Paper Cost
C
Royalty and Promotion Cost
D
Binding Cost and Paper Cost
Correct Answer: Option A
Central angle of 108º =  108/360 x 100 % of the total expenditure
= 30% of the total expenditure.

From the pie-chart it is clear that :
Binding Cost and Transportation Cost
= (20% + 10%) of the total expenditure
= 30% of the total expenditure.

 Binding Cost and transportation Cost together have a central angle of 108º.

Question 3
If the difference between the two expenditures are represented by 18º in the pie-chart, then these expenditures possibly are :

A
Binding Cost and Promotion Cost
B
Paper Cost and Royalty
C
Binding Cost and Printing Post
D
Paper Cost and Printing Cost
Correct Answer: Option D
Central angle 18º =  18/360 x 100 % of the total expenditure
= 5% of the total expenditure.
From the pie-chart it is clear that :
Out of the given combinations, only in combination (D) the difference is 5%
i.e. Paper Cost - Printing Cost 
= (25% - 20%) of total expenditure
= 5% of total expenditure.
Question 4
Royalty on the book is less than the printing cost by :

A
5%
B
33.333%
C
20%
D
25%
Correct Answer: Option D
Printing Cost of book = 20% of C.P.
Royalty on book = 15% of C.P.
Difference = (20% of C.P.) - (15% of C.P.)
= 5% of C.P.
 Percentage difference =   [ Difference      x 100] %
                                                Printing Cost
    
= [  5% of C.P.    x 100] % = 25%
      20% of C.P.    

Thus, Royalty on the book is 25% less than the Printing Cost.
Question 5
If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be the amount of royalty to be paid for these books ?

A
Rs. 19,450
B
Rs. 21,200
C
Rs. 22,950
D
Rs. 26,150
Correct Answer: Option C
Let the amount of Royalty to be paid for these books be Rs. r.
Then, 20 : 15 = 30600 : r
  r = Rs.  30600 x 15 / 20 
= Rs. 22950
Question 6
The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book ?

A
Rs. 36
B
Rs. 37.50
C
Rs. 42
D
Rs. 44.25
Correct Answer: Option B
Clearly, marked price of the book = 12% of C.P.
Also, cost of paper = 25% of C.P.
Let the cost of paper for a single book be Rs. n.
Then, 120 : 25 = 180 : n
 n = Rs.  25 x 180/120 
         = Rs. 37.50.
Question 7
If for an edition of the book, the cost of paper is Rs. 56250, then find the promotion cost for this edition.

A
Rs. 20,000
B
Rs. 22,500
C
Rs. 25,500
D
Rs. 28,125
Correct Answer: Option B
Let the Promotion Cost for this edition be Rs. p.
Then, 25 : 10 = 56250 : p
 p = Rs.  56250 x 10 / 25 
        = Rs. 22500.
Question 8
For an edition of 12,500 copies, the amount of Royalty paid by the publisher is Rs. 2,81,250. What should be the selling price of the book if the publisher desires a profit of 5% ?

A
Rs. 152.50
B
Rs. 157.50
C
Rs. 162.50
D
Rs. 167.50
Correct Answer: Option B
Clearly,  S.P. of the book = 105% of C.P.
Let the selling price of this edition (of 12500 books) be Rs. X.
There, 15 : 105 = 281250 : X
 X = Rs.  105 x 281250 / 15 
         = Rs. 1968750.
 S.P of one book = Rs.  1968750 / 12500 
                               = Rs. 157.50
Question 9
If 5500 copies are published and the transportation cost on them amounts to Rs. 82,500, then what should be the selling price of the book so that the publisher can earn a profit of 25% ?

A
Rs. 187.50
B
Rs. 191.50
C
Rs. 175
D
Rs. 180
Correct Answer: Option A
For the publisher to earn a profit of 25%,
S.P. = 125% of C.P.
Also Transportation Cost = 10% of C.P.
Let the S.P. of 5500 books be Rs X.
Then, 10 : 125 = 82500 : X
 X = Rs.  125 x 82500 / 10 
         = Rs. 1031250.
S.P. of one book :
 =  Rs.  1031250 / 5500 
=  Rs.  187.50