Aptitude Data InterpretationPage 4
25. | | For which of the following years the percentage of rise/fall in production from the previous year is the maximum for the flavour Y?
| | (a)1996 | | (b)1997 | | (c)1998 | | (d)1999 |
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Answer is: Bhe percentage rise/fall in production from the previous year for flavour Y during various years are:
In 1996 = {(60 - 55)/55] x 100% = 9.09% (Increase)
In 1997 = [(60 - 50)/60] x 100% = 16.67% (Decrease)
In 1998 = [(55 - 50)/50] x 100% = 10% (Increase)
In 1999 = [(55 - 50)/55] x 100% = 9.09% (Increase)
26. | | 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? | | (a)Rs. 19,450 | | (b)Rs. 21,200 | | (c)Rs. 22,950 | | (d)Rs. 26,150 |
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Answer is: CLet the amount of Royalty to be paid for these books be Rs. r.
then, 20 : 15 = 30600 : r
So, r = Rs.(30600 x 15)/20 = 22,950.
27. | | What is the central angle of the sector corresponding to the expenditure incurred on Royalty? | | (a)18º | | (b)54º | | (c)64º | | (d)48º |
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Answer is: BCentral angle corresponding to Royalty = (15% of 360)º
Central angle corresponding to Royalty = [(15/100) x 100] º = 54º
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28. | | 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? | | (a)37 | | (b)37.50 | | (c)40 | | (d)44 |
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Answer is: BClearly, 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.
hen, 120 : 25 = 180 : n
So, n = Rs.(25 x 180)/120 = Rs. 37.50
29. | | 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%? | | (a)187.50 | | (b)190 | | (c)192.5 | | (d)185 |
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Answer is: AFor 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
So, X = Rs. (125 x 82500)/10 = Rs. 1031250
S.P. of one book = Rs.(1031250/5500) = Rs. 187.50
30. | | Royalty on the book is less than the printing cost by: | | (a)15% | | (b)20% | | (c)25% | | (d)30% |
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Answer is: CPrinting 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
So, Percentage difference = (Difference / Printing Cost) x 100%
Percentage difference = (5% of C.P. Printing Cost) x 100%
Percentage difference = 25%
31. | | For which of the following pairs of years the total exports from the three Companies together are equal? | | (a)1995 and 1999 | | (b)1997 and 1998 | | (c)1995 and 1996 | | (d)1996 and 1997 |
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Answer is: CTotal exports of the three Companies X, Y and Z together, during various years are:
In 1993 = Rs. (30 + 80 + 60) crores = Rs. 170 crores.
In 1994 = Rs. (60 + 40 + 90) crores = Rs. 190 crores.
In 1995 = Rs. (40 + 60 + 120) crores = Rs. 220 crores.
In 1996 = Rs. (70 + 60 + 90) crores = Rs. 220 crores.
In 1997 = Rs. (100 + 80 + 60) crores = Rs. 240 crores.
In 1998 = Rs. (50 + 100 + 80) crores = Rs. 230 crores.
In 1999 = Rs. (120 + 140 + 100) crores = Rs. 360 crores.
Clearly, the total exports of the three Companies X, Y and Z together are same during the years 1995 and 1996.
32. | | Average annual exports during the given period for Company Y is approximately what percent of the average annual exports for Company Z? | | (a)88% | | (b)90.25% | | (c)92.65% | | (d)93.33% |
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Answer is: DAnalysis of the graph: From the graph it is clear that:
1. The amount of exports of Company X (in crore Rs.) 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 crore Rs.) 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 crore Rs.) 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 Rs. crore) of Company Y during the given period
= (80 + 40 + 60 + 60 + 80 + 100 + 140)/7 = 560/7 = 80%
Average annual exports (in Rs. crore) of Company Z during the given period
= (60 + 90 + 120 + 90 + 60 + 80 + 100)/7 = 600/7 = 85.71%
So, Required percentage = [80/(600/7)] x 100% = 93.33%
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