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 |
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. |
33 | 1 | % |
5 |
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 | |||||||||
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= | ❨ | 5% of C.P. | x 100 | ❩ | % = 25%. | ||||
Printing Cost |
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 |
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 |
Central angle corresponding to Royalty | = (15% of 360)° | |||||||
|
||||||||
= 54°. |
Then, 25 : 10 = 56250 : p ⟹ p = Rs. | ❨ | 56250 x 10 | ❩ | = Rs. 22,500. |
25 |
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°.
Required percentage |
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= 79.54% 80%. |
Required average |
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= 8990. |
For 1997 | ❨ | 780 | x 100 | ❩ | % = 12.19%. |
6400 |
For 1998 | ❨ | 1020 | x 100 | ❩ | % = 11.59%. |
8800 |
For 1999 | ❨ | 890 | x 100 | ❩ | % = 11.41%. |
7800 |
For 2000 | ❨ | 1010 | x 100 | ❩ | % = 11.54%. |
8750 |
For 2001 | ❨ | 1250 | x 100 | ❩ | % = 12.82%. |
9750 |
∴ Maximum percentage is for the year 2001.
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