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Pie Charts
The following piechart shows the percentage distribution of the expenditure incurred in publishing a book. Study the piechart and the answer the questions based on it.
Various Expenditures (in percentage) Incurred in Publishing a Book

Central angle of 108° =  108  x 100  % of the total expenditure  
360 
Binding Cost + Transportation Cost  = (20% + 10%) of the total expenditure 
= 30% of the total expenditure. 
Q2: 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
ANS:B  Rs. 157.50
Clearly, S.P. of the book = 105% of C.P. Let the selling price of this edition (of 12500 books) be Rs. x.
Then, 15 : 105 = 281250 : x x = Rs.  105 x 281250  = Rs. 1968750.  
15 
S.P. of one book = Rs.  1968750  = Rs. 157.50 .  
12500 
Q3:
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
ANS:B  Rs. 22,500
Let the Promotion Cost for this edition be Rs. p.
Then, 25 : 10 = 56250 : p p = Rs.  56250 x 10  = Rs. 22,500.  
25 
Q4: If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be 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
ANS:C  Rs. 22,950
Let the amount of Royalty to be paid for these books be Rs. r.
Then, 20 : 15 = 30600 : r r = Rs.  30600 x 15  = Rs. 22,950.  
20 
Q5: What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
A
15°
B 24°
C 54°
D
48°
ANS:C  54°
Central angle corresponding to Royalty  = (15% of 360)°  


= 54°. 
Q6: 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
ANS:B  Rs. 37.50
Clearly, marked price of the book = 120% 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  = Rs. 37.50 .  
120 
Q7:
If the difference between the two expenditures are represented by 18° in the piechart, then these expenditures possibly are
A Binding Cost and Promotion Cost
B
Paper Cost and Royalty
C
Binding Cost and Printing Cost
D
Paper Cost and Printing Cost
ANS:D  Paper Cost and Printing Cost
Central angle of 18° =  18  x 100  % of the total expenditure  
360 
Paper Cost  Printing Cost  = (25%  20%) of the total expenditure 
= 5% of the total expenditure. 
Q8:
If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, 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
ANS:A  Rs. 187.50
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  = Rs. 1031250.  
10 
S.P. of one book = Rs.  1031250  = Rs. 187.50 .  
5500 
Q9:
Royalty on the book is less than the printing cost by:
A
5%
B
33  1  % 
5 
C
20%
D 25%
ANS:D  25%
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%.  
Printing Cost 
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