The table shows the percentage distribution of five mobile phone models (A to E) produced in 2021 and 2022. Total produced: 4,50,000 in 2021 and 5,20,000 in 2022.
| Model | 2021 (%) | 2022 (%) |
|---|---|---|
| A | 15 | 10 |
| B | 25 | 30 |
| C | 30 | 25 |
| D | 10 | 25 |
| E | 20 | 10 |
What is the ratio of the number of mobile phones of Models C, D and E in the year 2022 to the number of mobile phones of Models B, C and D in the year 2021?
A18 : 17
B25 : 19
C16 : 15 ✓ Correct
D14 : 15
Correct answer: (C) 16 : 15
Explanation
The ratio is 16 to 15, so the answer is 16 : 15.
Models C, D and E in 2022 are 25% plus 25% plus 10%, which is 60% of 5,20,000.
That gives 3,12,000 phones for the 2022 group.
Models B, C and D in 2021 are 25% plus 30% plus 10%, which is 65% of 4,50,000.
That gives 2,92,500 phones for the 2021 group.
The ratio 3,12,000 to 2,92,500 simplifies to 16 : 15.
Adding the percentages first, then applying each year's total, avoids computing each model separately.
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