Question
Download Solution PDFComprehension
Directions: Read the data carefully and answer the following questions.
The bar graph shows the total number of newspapers and magazines sold by five organizations (A, B, C, D, E).
The pie chart shows the percentage of newspapers sold by each organization.
Note: The total number of newspapers sold by E is 960.
Determine the difference between x% of the number of Magazines sold by D and y% of the number of Newspapers sold by C if the number of Magazines by A is x% of the total number of Newspapers and magazines sold by A and the number of Newspapers sold by D is y% of the number of Newspapers sold by C.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGeneral Solution:
The total number of newspapers sold by E is 960.
Total newspapers and magazines sold by E = 2400
Percentage of newspapers sold by E = a%
So:
Number of newspapers sold by E = a / 100 × 2400 = 960
a / 100 × 2400 = 960
24a = 960
a = 40
Organization A:
Total newspapers and magazines sold = 840
Percentage of newspapers sold = 36.66%
Number of newspapers sold = 36.66 / 100 × 840 = 308
Number of magazines sold = 840 - 308 = 532
Organization B:
Total newspapers and magazines sold = 1440
Percentage of newspapers sold = 42.22%
Number of newspapers sold = 42.22 / 100 × 1440 = 608
Number of magazines sold = 1440 - 608 = 832
Organization C:
Total newspapers and magazines sold = 2420
Percentage of newspapers sold = 45.45%
Number of newspapers sold = 45.45 / 100 × 2420 = 1100
Number of magazines sold = 2420 - 1100 = 1320
Organization D:
Total newspapers and magazines sold = 2880
Percentage of newspapers sold = 31.25%
Number of newspapers sold = 31.25 / 100 × 2880 = 900
Number of magazines sold = 2880 - 900 = 1980
Organization E:
Total newspapers and magazines sold = 2400
Percentage of newspapers sold = 40%
Number of newspapers sold = 960
Number of magazines sold = 2400 - 960 = 1440
| Organization | Total Newspapers and Magazines Sold | Newspapers Sold | Magazines Sold |
|---|---|---|---|
| A | 840 | 308 | 532 |
| B | 1440 | 608 | 832 |
| C | 2420 | 1100 | 1320 |
| D | 2880 | 900 | 1980 |
| E | 2400 | 960 | 1440 |
Calculations:
Number of magazines sold by A is x% of the total number of newspapers and magazines sold by A, so x% = 532 / 840 × 100 = 19/30
Number of newspapers sold by D is y% of the number of newspapers sold by C, so y% = 900 / 1100 × 100 = 9/11
Difference between x% of the number of magazines sold by D and y% of the number of newspapers sold by C:
= 19 / 30 × 1980 - 9 / 11 × 1100 = 354
Thus, the correct answer is 354.
Last updated on Jul 20, 2025
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