The table shows the percentage distribution of readers of an IT magazine in 2019 and 2023 across six cities A to F.
| City | 2019 (%) | 2023 (%) |
|---|---|---|
| A | 10 | 15 |
| B | 14 | 16 |
| C | 17 | 28 |
| D | 9 | 10 |
| E | 24 | 9 |
| F | 26 | 22 |
If the ratio of the number of readers from City-A in the year 2019 to that in 2023 was 2:5, then what was the ratio of the number of readers from all six cities together in the year 2019 to that in 2023?
A3 : 5 ✓ Correct
B4 : 5
C4 : 9
D2 : 5
Correct answer: (A) 3 : 5
Explanation
The ratio of totals is 3 to 5, so that is the answer.
City A is 10 percent of the 2019 total and 15 percent of the 2023 total.
So the 2019 total is City A over 0.10 and the 2023 total is City A over 0.15.
The given City A ratio for 2019 to 2023 is 2 to 5.
Dividing 2 over 0.10 by 5 over 0.15 gives 20 over about 33.3.
This simplifies to 3 to 5, the ratio of the totals.
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