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- Question
What is the central angle of the sector corresponding to the expenditure incurred on Royalty?
Options- A. 15°
- B. 24°
- C. 54°
- D. 48°
- Correct Answer
- 54°
ExplanationCentral angle corresponding to Royalty = (15% of 360)° = ❨ 15 x 360 ❩ ° 100 = 54°.
Pie Charts problems
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- 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:
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 - 2. 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:
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 - 3. 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:
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 - 4. 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:
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 - 5. 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. - 6. 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:
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
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