Directions: (1- 5 ) :- 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.
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) x 10]= Rs. 1031250
S.P. of one book = Rs. (1031250/ 5500)= Rs. 187.50
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. 37. 50
[(15/100) *360] = 54
Then, 20 : 15 = 30600 : r
r = Rs. 22,950
Various Expenditures (in percentage) Incurred in Publishing a Book.
1. What % Royalty on the book is less than the printing cost?
- 1. 5%
- 2. 33 1/5 %
- 3. 20 %
- 4. 25 %
- 5. None of these
Ans: (4)
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/Printing) * 100%
= [ ( 5% of C.P./Printing Cost ) x 100%]
= 25%
Royalty on book = 15% of C.P.
Difference = (20% of C.P.) - (15% of C.P) = 5% of C.P.
Percentage difference = [ (Difference/Printing) * 100%
= [ ( 5% of C.P./Printing Cost ) x 100%]
= 25%
2. 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%?
- 1. Rs. 187.50
- 2. Rs. 191.5
- 3. Rs. 175
- 4. Rs. 180
- 5. None of these
Ans: (1)
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) x 10]= Rs. 1031250
S.P. of one book = Rs. (1031250/ 5500)= Rs. 187.50
3. 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?
- 1. Rs. 36
- 2. Rs. 37.5
- 3. Rs. 42
- 4. Rs. 44.25
- 5. None of these
Ans: (2)
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. 37. 50
4. What is the central angle of the sector corresponding to the expenditure incurred on Royalty ?
- 1. 15°
- 2. 24°
- 3. 54°
- 4. 48°
- 5. None of these
Ans: (3)
Central angle corresponding to Royalty = (15% of 360)º[(15/100) *360] = 54
5. If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, and then what will be amount of royalty to be paid for these books?
- 1. Rs. 19, 450
- 2. Rs. 21, 200
- 3. Rs. 22, 950
- 4. Rs. 26, 150
- 5. None of these
Ans: (3)
Let the amount of Royalty to be paid for these books be Rs. r.Then, 20 : 15 = 30600 : r
r = Rs. 22,950
Direction (6-10): Study the following graph carefully and answer the questions given below it.
6. Number of students studying B. A. in College B forms what per cent of total number of students studying all the disciplines together in that college? ( Rounded off to two digits after decimal).
- (1) 26.86
- (2) 27.27
- (3) 29.84
- (4) 32.51
- (5) None of these
7. What is the respective ratio of total number of students studying B.Sc. in the Colleges C and E together to those studying B.A. in the Colleges A and B together?
- (1) 24 : 23
- (2) 25 : 27
- (3) 29 : 23
- (4) 29: 27
- (5) None of these
8. What is the respective ratio of total number of students studying B.Sc., B.A. and B. Com in all the colleges together?
- (1) 71 : 67 : 75
- (2) 67 : 71 : 75
- (3) 71 : 68 : 75
- (4) 75 : 71 : 68
- (5) None of these
9. Number of students studying B.Com. in College C forms approximately what per cent of the total number of student studying B. com in all the Colleges together?
- (1) 39%
- (2) 21%
- (3) 44%
- (4) 33%
- (5) 17%
10. What is the total number of students studying B.Sc in all the colleges together?
- (1) 1825
- (2) 1975
- (3) 1650
- (4) 1775
- (5) None of these
Answers of Questions No. 6 to 10 will be published shortly.