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% |
If 85% of Model-E mobile phones produced during 2021 and 2022 were sold, how many Model-E phones were left unsold?
Answer: B. 21300 — ConceptFor a category that has a different percentage in each year, first convert each yearly percentage into a count and then add the counts. If a fraction…
- A.
142800
- B.
21300
- C.
29100
- D.
25200
Show answer & explanation
Correct answer: B
Concept
For a category that has a different percentage in each year, first convert each yearly percentage into a count and then add the counts. If a fraction was sold, the unsold fraction is 100% minus the sold percentage.
Application
Model-E production in 2021 = 20% of 450000 = 0.20 × 450000 = 90000.
Model-E production in 2022 = 10% of 520000 = 0.10 × 520000 = 52000.
Total Model-E production = 90000 + 52000 = 142000.
Unsold percentage = 100% − 85% = 15%, so unsold phones = 0.15 × 142000 = 21300.
Cross-check
Sold phones = 0.85 × 142000 = 120700, and 120700 + 21300 = 142000, which recovers the total production.
Result
Therefore, 21300 Model-E phones were left unsold.