Table shows the percentage of six item types A to F produced by a company in 2020 and 2021. Total items = 48600 (2020) and 62500 (2021).
| Item | 2020 (%) | 2021 (%) |
|---|---|---|
| A | 17 | 18 |
| B | 18 | 15 |
| C | 17 | 8 |
| D | 20 | 17 |
| E | 16 | 18 |
| F | 12 | 24 |
What is the ratio of the number of items of type D produced in 2020 to the number of items of type F produced in 2021?
A13 : 17
B83 : 116
C81 : 125 ✓ Correct
D103 : 147
Correct answer: (C) 81 : 125
Explanation
The ratio is 81 to 125, so the answer is 81 to 125.
Type D in 2020 is 20 percent of 48600, which is 9720.
Type F in 2021 is 24 percent of 62500, which is 15000.
So the ratio is 9720 to 15000.
Dividing both by their common factor simplifies this.
The simplified ratio is 81 to 125.
So the answer is 81 to 125.
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