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 question.
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% |
What is the ratio of number of Model-F Laptops produced in 2019 to the number of Model-C Laptops produced in 2020?
Answer: B. 35:66 — ConceptA category count in a percentage table equals the total count multiplied by the category percentage divided by 100. To compare two category counts,…
- A.
33:59
- B.
35:66
- C.
37:61
- D.
31:65
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Show answer & explanation
Correct answer: B
Concept
A category count in a percentage table equals the total count multiplied by the category percentage divided by 100.
To compare two category counts, calculate both counts first, form their ratio, and reduce both terms by the same common factor.
Application
Model F in 2019 = 10% of 35 lakh = (10/100) × 35 = 3.5 lakh.
Model C in 2020 = 15% of 44 lakh = (15/100) × 44 = 6.6 lakh.
Required ratio = 3.5 : 6.6 = 35 : 66 after multiplying both terms by 10.
Cross-check
Directly, (10 × 35) : (15 × 44) = 350 : 660 = 35 : 66, which gives the same reduced ratio.
Result
Therefore, the required ratio is 35 : 66.