The following table presents the percentage (%) distribution of production of…
2022
The following table presents the percentage (%) distribution of production of various models of Laptop (A-F) manufactured by a company over two consecutive years in 2019 and 2020. The total number of Laptops produced in 2019 was 35 lakh and in 2020, it was 44 lakhs. Based on the data in the table, answer the questions:
Year-wise Percentage Distribution of Production of Laptops
Year | A | B | C | D | E | F |
|---|---|---|---|---|---|---|
2019 | 30% | 15% | 20% | 10% | 15% | 10% |
2020 | 40% | 20% | 15% | 10% | 10% | 5% |
If the percentage production of Model-A Laptops in 2020 was same as that in 2019, then the number of Model-A Laptops produced in 2020 would have been:
Answer: B. 13.2 lakh — ConceptA percentage expresses a part out of every 100 units. To find a given percentage of a total, multiply the total by the percentage written as a fraction…
- A.
14.0 lakh
- B.
13.2 lakh
- C.
11.7 lakh
- D.
10.5 lakh
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Show answer & explanation
Correct answer: B
Concept
A percentage expresses a part out of every 100 units. To find a given percentage of a total, multiply the total by the percentage written as a fraction over 100.
If a percentage from one year is applied to another year, the new year’s total is the base; the original year’s absolute count is not carried over.
Application
The hypothetical percentage for Model A in 2020 is the 2019 percentage, 30%.
Use the 2020 total of 44 lakh laptops as the base.
Required production = 30/100 × 44 lakh = 0.30 × 44 lakh = 13.2 lakh.
Cross-check
Since 10% of 44 lakh is 4.4 lakh, three such parts give 30%: 3 × 4.4 lakh = 13.2 lakh.
Result
Therefore, the hypothetical production of Model A in 2020 would have been 13.2 lakh laptops.