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.
If organizations A and C decide to merge and sell their combined newspapers and magazines at a uniform price of ₹20 per item, while organizations B and D decide to sell their combined newspapers and magazines at a uniform price of ₹22 per item, what is the difference between the total revenue generated by the merged organizations (A+C) and the merged organizations (B+D)?
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:
Organizations A and C:
Total newspapers and magazines sold by A = 840
Total newspapers and magazines sold by C = 2420
Combined total = 840 + 2420 = 3260
Organizations B and D:
Total newspapers and magazines sold by B = 1440
Total newspapers and magazines sold by D = 2880
Combined total =1440 + 2880 = 4320
Revenue for Organizations A and C:
Price per item = ₹20
Total revenue = 3260 × 20 = ₹65,200
Revenue for Organizations B and D:
Price per item = ₹22
Total revenue = 4320 × 22 = ₹95,040
Difference = Revenue of (B+D) - Revenue of (A+C)
₹95,040 - ₹65,200 = ₹29,840
Thus, the difference between the total revenue generated by the merged organizations B+D and A+C is ₹29,840.
Last updated on Jul 20, 2025
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