## pie charts

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

###### 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

###### 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)°

 = 15 x 360 ° 100
= 54°.

###### 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

###### 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

###### 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

###### If the difference between the two expenditures are represented by 18° 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 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

= 5% of the total expenditure.
From the given 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 the total expenditure = 5% of the total expenditure.

###### 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

###### 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

###### Which two expenditures together have central angle of 108°?
 A Biding Cost and Transportation Cost B Printing Cost and Paper Cost C Royalty and Promotion Cost D Binding Cost and Paper Cost
 ANS: A - Biding Cost and Transportation Cost

 Central angle of 108° = 108 x 100 % of the total expenditure 360

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

Binding Cost and Transportation Cost together have a central angle of 108°.