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 the number of Model-A mobile phones produced in 2022 were the same as in 2021, what would have been its approximate percentage share in total production of 2022?
Answer: B. 13% — ConceptTo convert a category share into a count, multiply the total by the percentage written as a decimal. To express a count as a percentage of a total,…
- A.
11%
- B.
13%
- C.
15%
- D.
9%
Show answer & explanation
Correct answer: B
Concept
To convert a category share into a count, multiply the total by the percentage written as a decimal.
To express a count as a percentage of a total, divide the count by the total and multiply by 100.
Application
Model A in 2021 = 15% of 450,000 = 0.15 × 450,000 = 67,500 phones.
Under the condition in the question, the 2022 Model-A count would also be 67,500.
Required 2022 share = (67,500 ÷ 520,000) × 100 = 12.9807...%.
Cross-check
Taking 13% of 520,000 gives 67,600 phones, which is only 100 above 67,500; therefore 13% is the appropriate approximate share.
Result
The approximate percentage share is 13%.