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 lakh. 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% |
If 90% of the Model-D Laptops produced in each year were sold by the company, then how many Model-D Laptops remained unsold?
Answer: C. 79000 — ConceptTo find a portion left after a sale, first compute the category production as its table percentage of total production. Add the category counts across…
- A.
76500
- B.
93500
- C.
79000
- D.
87000
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Show answer & explanation
Correct answer: C
Concept
To find a portion left after a sale, first compute the category production as its table percentage of total production. Add the category counts across years, then multiply by the unsold percentage, where unsold percentage equals 100% minus sold percentage.
Application
For 2019, Model-D production = 10% of 35 lakh = 3.5 lakh.
For 2020, Model-D production = 10% of 44 lakh = 4.4 lakh.
Combined Model-D production = 3.5 lakh + 4.4 lakh = 7.9 lakh = 790,000.
Because 90% were sold, the unsold share = 100% - 90% = 10%. Therefore, unsold Model-D laptops = 10% of 790,000 = 79,000.
Cross-check
Selling 90% means nine out of every ten units are sold and one out of every ten remains. One-tenth of 790,000 is 79,000, confirming the calculation.
Result
79,000 Model-D laptops remained unsold.