Pie Charts problems
- 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?
Options- A. Rs. 19,450
- B. Rs. 21,200
- C. Rs. 22,950
- D. Rs. 26,150 Discuss
Correct Answer: Rs. 22,950
Explanation:
| Then, 20 : 15 = 30600 : r ⟹ r = Rs. | ❨ | 30600 x 15 | ❩ | = Rs. 22,950. |
| 20 |
- 2. What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
Options- A. 15°
- B. 24°
- C. 54°
- D. 48° Discuss
Correct Answer: 54°
Explanation:
| Central angle corresponding to Royalty | = (15% of 360)° | |||||||
|
||||||||
| = 54°. |
- 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?
Options- A. Rs. 36
- B. Rs. 37.50
- C. Rs. 42
- D. Rs. 44.25 Discuss
Correct Answer: Rs. 37.50
Explanation:
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 |
- 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%?
Options- A. Rs. 187.50
- B. Rs. 191.50
- C. Rs. 175
- D. Rs. 180 Discuss
Correct Answer: Rs. 187.50
Explanation:
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 |
- 5. Royalty on the book is less than the printing cost by:
Options- A. 5%
- B.
33 1 % 5 - C. 20%
- D. 25% Discuss
Correct Answer: 25%
Explanation:
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 | |||||||||
- 6. If the difference between the two expenditures are represented by 18° in the pie-chart, then these expenditures possibly are
Options- A. Binding Cost and Promotion Cost
- B. Paper Cost and Royalty
- C. Binding Cost and Printing Cost
- D. Paper Cost and Printing Cost Discuss
Correct Answer: Paper Cost and Printing Cost
Explanation:
| 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. |
- 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%?
Options- A. Rs. 152.50
- B. Rs. 157.50
- C. Rs. 162.50
- D. Rs. 167.50 Discuss
Correct Answer: Rs. 157.50
Explanation:
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 |
- 8. If for an edition of the book, the cost of paper is Rs. 56250, then find the promotion cost for this edition.
Options- A. Rs. 20,000
- B. Rs. 22,500
- C. Rs. 25,500
- D. Rs. 28,125 Discuss
Correct Answer: Rs. 22,500
Explanation:
| Then, 25 : 10 = 56250 : p ⟹ p = Rs. | ❨ | 56250 x 10 | ❩ | = Rs. 22,500. |
| 25 |
- 9. Which two expenditures together have central angle of 108°?
Options- A. Biding Cost and Transportation Cost
- B. Printing Cost and Paper Cost
- C. Royalty and Promotion Cost
- D. Binding Cost and Paper Cost Discuss
Correct Answer: Biding Cost and Transportation Cost
Explanation:
| 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°.
- 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?
Options- A. Medicines
- B. Other expenses
- C. Rent
- D. Clothing Discuss
Correct Answer: Rent
Explanation:
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.
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