Pie And Line Chart Test! Trivia Questions Quiz

1. 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?

Rs. 36

Rs. 37.50

Rs. 42

Rs. 44.25

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. (25x180)/120 = Rs. 37.50 .

Explanation

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. (25x180)/120 = Rs. 37.50 .

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%?

Rs. 187.50

Rs. 191.50

Rs. 175

Rs. 180

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.(125x82500)/10= Rs. 1031250. Therefore S.P. of one book = Rs. 1031250/5500= Rs. 187.50 .

Explanation

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.(125x82500)/10= Rs. 1031250. Therefore S.P. of one book = Rs. 1031250/5500= Rs. 187.50 .

3. What is the central angle of the sector corresponding to the expenditure incurred on Royalty? -

15 Degrees

24 Degrees

54 Degrees

48 Degrees

Central angle corresponding to Royalty = (15% of 360)º = (15/100)x360º = 54º.

Explanation

Central angle corresponding to Royalty = (15% of 360)º = (15/100)x360º = 54º.

4. Study the following line graph and answer the questions. Exports from Three Companies Over the Years (in Pesetas)

For which of the following pairs of years the total exports from the three Companies together are equal?

1995 and 1998

1996 and 1998

1997 and 1998

1995 and 1996

Total exports of the three Companies X, Y and Z together, during various years are: In 1993 = (30 + 80 + 60) = 170 In 1994 = (60 + 40 + 90) = 190 In 1995 = (40 + 60 + 120) = 220 In 1996 = (70 + 60 + 90) = 220 In 1997 = (100 + 80 + 60) = 240 In 1998 = (50 + 100 + 80) = 230 In 1999 = (120 + 140 + 100) = 360 Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.

Explanation

Total exports of the three Companies X, Y and Z together, during various years are: In 1993 = (30 + 80 + 60) = 170 In 1994 = (60 + 40 + 90) = 190 In 1995 = (40 + 60 + 120) = 220 In 1996 = (70 + 60 + 90) = 220 In 1997 = (100 + 80 + 60) = 240 In 1998 = (50 + 100 + 80) = 230 In 1999 = (120 + 140 + 100) = 360 Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.

5. Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z?

87.12%

89.64%

91.21%

93.33%

Analysis of the graph: From the graph it is clear that 1. The amount of exports of Company X (in Pesetas) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively. 2. The amount of exports of Company Y (in Pesetas.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively. 3. The amount of exports of Company Z (in Pesetas) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively. Average annual exports (in Pesetas) of Company Y during the given period = 1/7 x (80 + 40 + 60 + 60 + 80 + 100 + 140) = 560/7= 80. Average annual exports (in Pesetas) of Company Z during the given period = 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100) = (600/7 ) . Therefore Required percentage = [(80)/(600/7) * 100]=93%

Explanation

Analysis of the graph: From the graph it is clear that 1. The amount of exports of Company X (in Pesetas) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 30, 60, 40, 70, 100, 50 and 120 respectively. 2. The amount of exports of Company Y (in Pesetas.) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 80, 40, 60, 60, 80, 100 and 140 respectively. 3. The amount of exports of Company Z (in Pesetas) in the years 1993, 1994, 1995, 1996, 1997, 1998 and 1999 are 60, 90,, 120, 90, 60, 80 and 100 respectively. Average annual exports (in Pesetas) of Company Y during the given period = 1/7 x (80 + 40 + 60 + 60 + 80 + 100 + 140) = 560/7= 80. Average annual exports (in Pesetas) of Company Z during the given period = 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100) = (600/7 ) . Therefore Required percentage = [(80)/(600/7) * 100]=93%

6. 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. -

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? -

Rs. 19,450

Rs. 21,200

Rs. 22,950

Rs. 26,150

Let the amount of Royalty to be paid for these books be Rs. r. Then, 20 : 15 = 30600 : r => r = Rs. (30600x15)/20 = Rs. 22,950.

Explanation

Let the amount of Royalty to be paid for these books be Rs. r. Then, 20 : 15 = 30600 : r => r = Rs. (30600x15)/20 = Rs. 22,950.

7. In which year was the difference between the exports from Companies X and Y the minimum?

1994

1995

1996

1997

The difference between the exports from the Companies X and Y during the various years are: In 1993 = (80 - 30) = 50 In 1994 = (60 - 40) = 20 In 1995 = (60 - 40) = 20 In 1996 = (70 - 60) = 10 In 1997 = (100 - 80) = 20 In 1998 = (100 - 50) = 50 In 1999 = (140 - 120) = 20 Clearly, the difference is minimum in the year 1996.

Explanation

The difference between the exports from the Companies X and Y during the various years are: In 1993 = (80 - 30) = 50 In 1994 = (60 - 40) = 20 In 1995 = (60 - 40) = 20 In 1996 = (70 - 60) = 10 In 1997 = (100 - 80) = 20 In 1998 = (100 - 50) = 50 In 1999 = (140 - 120) = 20 Clearly, the difference is minimum in the year 1996.

8. What was the difference between the average exports of the three Companies in 1993 and the average exports in 1998? -

15.33

18.67

20

22.17

Average exports of the three Companies X, Y and Z in 1993 = [ 1/3 x (30 + 80 + 60) ] = ( 170/3) Average exports of the three Companies X, Y and Z in 1998 = [1/3 x (50 + 100 + 80) ] = (230/3) Difference [ ( 230/3) - ( 170/3) ] = ( 60/3) = 20

Explanation

Average exports of the three Companies X, Y and Z in 1993 = [ 1/3 x (30 + 80 + 60) ] = ( 170/3) Average exports of the three Companies X, Y and Z in 1998 = [1/3 x (50 + 100 + 80) ] = (230/3) Difference [ ( 230/3) - ( 170/3) ] = ( 60/3) = 20

9. Royalty on the book is less than the printing cost by:

5%

33 1/5%

20%

25%

Explanation

10. In how many of the given years, were the exports from Company Z more than the average annual exports over the given years?

2

3

4

5

Average annual exports of Company Z during the given period = 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100) = ( 600/7) = 85.71 From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., 85.71) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.

Explanation

Average annual exports of Company Z during the given period = 1/7 x (60 + 90 + 120 + 90 + 60 + 80 + 100) = ( 600/7) = 85.71 From the analysis of graph the exports of Company Z are more than the average annual exports of Company Z (i.e., 85.71) during the years 1994, 1995, 1996 and 1999, i.e., during 4 of the given years.