Percentage rise in the production of sports shoes from the year 2022 to 2023…
2024
Percentage rise in the production of sports shoes from the year 2022 to 2023 is more than 25 % for exactly ______ companies.
Answer: B. 3 — ConceptA percentage rise always measures the increase against the ORIGINAL quantity, never against the new one: percentage rise = (new value - old value) /…
- A.
2
- B.
3
- C.
4
- D.
5
Show answer & explanation
Correct answer: B
Concept
A percentage rise always measures the increase against the ORIGINAL quantity, never against the new one: percentage rise = (new value - old value) / old value x 100. Because the base year sits in the denominator, the same absolute increase counts for more when the starting figure is small.
For a fixed bar such as 25%, there is a faster equivalent test: a quantity has risen by more than 25% exactly when the new value exceeds 1.25 times the old value, which replaces a division and a comparison with one multiplication per row. It also matters which column the comparison uses: a question about production is settled by the number produced alone, because the rejected % and sold % columns describe what happened to the shoes after they were made and never enter a production-growth comparison.
Application
Keep only the two Number (in lakh) columns and set the rejected % and sold % columns aside.
For each company work out its 25% bar as 1.25 x (2022 number).
Count the companies whose 2023 number is strictly greater than that bar.
Company | 2022 (lakh) | 25% bar = 1.25 x 2022 | 2023 (lakh) | Rise | Above 25%? |
|---|---|---|---|---|---|
A | 25 | 31.25 | 33 | 32.0% | Yes |
B | 26 | 32.5 | 30 | 15.4% | No |
C | 32 | 40 | 37 | 15.6% | No |
D | 24 | 30 | 32 | 33.3% | Yes |
E | 35 | 43.75 | 41 | 17.1% | No |
F | 18 | 22.5 | 24 | 33.3% | Yes |
G | 30 | 37.5 | 35 | 16.7% | No |
Three companies - A, D and F - have a 2023 figure above their own 25% bar, so the blank is filled by 3.
Cross-check
Exact fractions confirm all three: A gains 8 on a base of 25, and 8/25 = 32%; D gains 8 on a base of 24 and F gains 6 on a base of 18, and both of those fractions reduce to 1/3, that is 33.3%.
The closest company below the bar is E, which gains 6 on a base of 35 and rises about 17.1%, well short of 25%, so the count is not borderline and no rounding choice can move it.
The largest absolute gains (A and D, up 8 lakh each) are not the same set as the largest percentage rises (D and F, tied at 33.3%), because F starts from the smallest 2022 base of 18 lakh, a reminder that percentage growth depends on the base.