The following table shows the percentage distribution of five different Models…
2023
The following table shows the percentage distribution of five different Models (A-E) of Mobile Phones produced by a company during the years 2021 and 2022. Total numbers of Mobile Phones produced by the company in 2021 and 2022 are 4,50,000 and 5,20,000, respectively. Based on the data in the table, answer the question that follows:
Year-wise Percentage (%) Distribution of Models of Mobile Phones
Model/Year | A | B | C | D | E |
|---|---|---|---|---|---|
2021 | 15% | 25% | 30% | 10% | 20% |
2022 | 10% | 30% | 25% | 25% | 10% |
What is the difference between the number of Model-C mobile phones produced in 2021 and 2022?
Answer: A. 5000 — ConceptTo convert a percentage distribution into a count, multiply the total by the percentage as a fraction: count = total × percentage/100. When comparing…
- A.
5000
- B.
7500
- C.
10000
- D.
2500
Show answer & explanation
Correct answer: A
Concept
To convert a percentage distribution into a count, multiply the total by the percentage as a fraction: count = total × percentage/100.
When comparing two periods, calculate each period's count from its own total before taking the absolute difference.
Application
Model C in 2021: 450,000 × 30/100 = 135,000.
Model C in 2022: 520,000 × 25/100 = 130,000.
The required difference is |135,000 − 130,000| = 5,000.
Cross-check
The 2022 total is larger, but its Model-C share is five percentage points lower. Direct calculation confirms that the two counts differ by 5,000.
Therefore, the required difference is 5,000.