What is the percentage rise in the sale of sports shoes by company F from the…
2024
What is the percentage rise in the sale of sports shoes by company F from the year 2022 to 2023?
Answer: D. 20 % — Concept: A percentage rise always compares a quantity with its own earlier value — percentage rise = (new value − old value) ÷ old value × 100, with the…
- A.
12 %
- B.
25 %
- C.
15 %
- D.
20 %
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Correct answer: D
Concept: A percentage rise always compares a quantity with its own earlier value — percentage rise = (new value − old value) ÷ old value × 100, with the earlier value as the base. Both values must measure the same thing, so a question about sales must be worked with shoes sold, never with shoes produced. In this table the "Sold (%)" entry is a percentage of that year's production, so shoes sold = production × Sold % ÷ 100.
Applying this to Company F:
Year | Produced (lakh) | Sold (%) | Shoes sold (lakh) |
|---|---|---|---|
2022 | 18 | 90 | 16.2 |
2023 | 24 | 81 | 19.44 |
Sales in 2022 = 18 × 90 ÷ 100 = 16.2 lakh pairs.
Sales in 2023 = 24 × 81 ÷ 100 = 19.44 lakh pairs.
Increase in sales = 19.44 − 16.2 = 3.24 lakh pairs.
Percentage rise = (3.24 ÷ 16.2) × 100 = 20 %.
Cross-check: raising 16.2 lakh by 20 % gives 16.2 × 1.2 = 19.44 lakh pairs, exactly the 2023 sales figure, so the working is consistent.
Two traps to avoid: (i) the "Rejected (%)" column must not be applied on top of the sold percentage — rejected and sold are two separate shares of the same production (for Company F in 2022 they are 5 % and 90 %, together accounting for 95 % of output), so multiplying by both would count the rejection twice; (ii) comparing the production figures 18 lakh and 24 lakh instead answers a different question, a rise of about 33.3 %.