Question 1

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?

Accepted Answer

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

Question 2

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

Accepted Answer

Central angle corresponding to Royalty = (15% of 360)° = ❨ 15 x 360 ❩ ° 100 = 54°.

Question 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?

Accepted Answer

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

Question 4

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%?

Accepted Answer

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

Question 5

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

Accepted Answer

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

Question 6

If the difference between the two expenditures are represented by 18° in the pie-chart, then these expenditures possibly are

Accepted Answer

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.

Question 7

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%?

Accepted Answer

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

Question 8

If for an edition of the book, the cost of paper is Rs. 56250, then find the promotion cost for this edition.

Accepted Answer

Let the Promotion Cost for this edition be Rs. p. Then, 25 : 10 = 56250 : p ⟹ p = Rs. ❨ 56250 x 10 ❩ = Rs. 22,500. 25

Question 9

Which two expenditures together have central angle of 108°?

Accepted Answer

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°.

Question 10

If the family's expenditure on education is Rs. 375 then the same amount is being expent by this family on which of the following items?

Accepted Answer

Both segments representing education and rent respectively are each 10%. Hence, family's expenditure on these two items will be equal. i.e.. Rs. 375 will be expenditure on rent.

Question 11

If the family expends Rs. 750 per month on food, what is the annual expenditure of this family on education?

Accepted Answer

Here as per graph food expenditure , 40% = Rs. 750 per month ⇒ 10% = 10 x 750/40 = Rs. 187.50 per month As per graph 10% is the expenditure on education. ∴ Annual expenditure (12 months) of the family on education = 187.50 x 12 = Rs. 2250

Question 12

If total expenditure of this family is Rs. 4500, find the expenditure of the family on clothing?

Accepted Answer

As per graph, Expenditure on clothing = 20 % Expenditure on clothing = Total expenditure x 20 % Expenditure on clothing = 4500 x 20/100 = Rs. 900 Expenditure on clothing = 45 x 20 = Rs. 900

Question 13

What is the angle subtended on the center by the segment representing other expenses?

Accepted Answer

As per graph, other expenses = 15 % of total expenditure. As we know that the angle made on center in a circle is 360° Since 100% made an angle 360° in a circle. therefore 1% made an angle 360° / 100 in a circle. therefore 15% made an angle 15 x 360° / 100 in a circle. Central angle for 15% =15 x 36° / 10 Central angle for 15% =3 x 36° / 2 Central angle for 15% =3 x 18° = 54°

Question 14

What is the ratio of total expenses on rent and clothing to the total expenses on medicines and other expenses of this family?

Accepted Answer

As per graph Expenditure on rent and clothing = 10% + 20% = 30% Expenditure on medicine and other expenses = 5% + 15% = 20% ∴ Ratio = 30% : 20% = 3 : 2

Question 15

The ratio of the total amount spent on football to that spent on hockey is:

Accepted Answer

Expenditure on the game of Football = 15% of total amount spent Expenditure on the game of Hockey = 15% of total amount spent Therefore, the ratio of the expenditure on the two game = 1 : 1

Question 16

If the total amount spent on sports during the year was Rs. 30,00,000. The amount spent on cricket and hockey together was:

Accepted Answer

According to question the total amount spent = Rs. 30,00,000 = 100% ∴ Total Expenditure on the games of Cricket and Hockey = 25% + 15% = 40% ∴ The total amount spend on the games of Cricket and Hockey = 40% of 30,00,000 = 40 x 30,00,000/100 = 40 x 30,000 = Rs. 12,00,000

Question 17

If the total amount spent on sports during the year was Rs. 1,20,00,000. how much was spent on basketball?

Accepted Answer

According to question, Total spent 100% = 1,20,00,000 According to graph, ∴ Expenditure on the game of Basketball = 121/2 % ∴ The Amount spend on the game of Basketball = 121/2% of 1,20,00,000 = 25 x 1,20,00,000/100 = Rs. 15,00,000

Question 18

Graph shows that the most popular game of the country is:

Accepted Answer

According to the graph, expenditure on cricket is the maximum. Therefore cricket is the most popular game.

Question 19

Out of the following the country spent the same amount on:

Accepted Answer

According to the graph, equal amount has been spent on Hockey and Football because the same percentage given in graph. Expenditure on the game of Football = 15% of total amount spent Expenditure on the game of Hockey = 15% of total amount spent

Question 20

Which college has the maximum number of boys?

Accepted Answer

As per first graph, The number of students in Collage A = Total number of students x 21% As per second graph, The number of girls from College A = Total number of girls x 23% So number of boys in Collage A = The total number of students in Collage A - The total number of girls in Collage A. Number of boys in college A = 3500 x 21/100 - 1800 x 23/100 = 735 - 414 = 321 Similarly we can get the number of boys from other collages. Number of boys in college B = 3500 x 9/100 - 1800 x 10/100 = 315 - 180 = 135 Number of boys in college C = 3500 x 33/100 - 1800 x 31/100 = 1155 - 558 = 597 Number of boys in college D = 3500 x 18/100 - 1800 x 11/100 = 630 - 198 = 432 Hence, number of boys in college C has maximum.

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