Which of the following two years have recorded the highest rate of increase in…
2013
Which of the following two years have recorded the highest rate of increase in area under the total horticulture?
Answer: D. 2006–07 & 2007–08 — ConceptThe rate of increase from one year to the next is a relative measure: rate = (later value − earlier value) ÷ earlier value × 100. Because the starting…
- A.
2005–06 & 2006–07
- B.
2006–07 & 2008–09
- C.
2007–08 & 2008–09
- D.
2006–07 & 2007–08
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept
The rate of increase from one year to the next is a relative measure: rate = (later value − earlier value) ÷ earlier value × 100. Because the starting value changes every year, the largest absolute rise does not automatically carry the largest rate, so every successive pair of years must be compared as a percentage of its own starting value.
Application
Take the Total Horticulture Area column and work out the increase for each successive pair of years.
Successive years | Total area (lakh ha) | Increase (lakh ha) | Rate of increase |
|---|---|---|---|
2005-06 to 2006-07 | 187 to 194 | 7 | 7 ÷ 187 × 100 ≈ 3.74% |
2006-07 to 2007-08 | 194 to 202 | 8 | 8 ÷ 194 × 100 ≈ 4.12% |
2007-08 to 2008-09 | 202 to 207 | 5 | 5 ÷ 202 × 100 ≈ 2.48% |
2008-09 to 2009-10 | 207 to 209 | 2 | 2 ÷ 207 × 100 ≈ 0.97% |
The largest of these four rates is about 4.12%, recorded over the span from 2006-07 to 2007-08, so the two years named by the question are 2006-07 and 2007-08.
Cross-check
Read the other way — the two years whose own growth over the preceding year is largest — the ranking is 2007-08 at about 4.12% and 2006-07 at about 3.74%, which is the same pair of years, so both readings agree.
The same span also carries the biggest single-year absolute rise, 8 lakh hectares, so the relative test and the absolute test point to the same span here.
A pair of years that is not consecutive, such as 2006-07 and 2008-09, covers two growth steps (194 to 207, about 6.70% in all); that is a cumulative two-year change, not a single year's rate of increase.
Result: the highest rate of increase in total horticulture area, about 4.12%, was recorded from 2006-07 to 2007-08.