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Wheat production of a country over a number of years is shown in the graph. Which year recorded the highest percent reduction in production over the p
Question

Wheat production of a country over a number of years is shown in the graph. Which year recorded the highest percent reduction in production over the previous year?

A.

2001

B.

2002

C.

2003

D.

2004

Correct option is D

Given:

Wheat production (in metric tons) from 2000 to 2004:

  • 2000: 50
  • 2001: 45
  • 2002: 40
  • 2003: 35
  • 2004: 30

We are to find the year with the highest percentage reduction in production over the previous year.

Concept Used:
Percentage reduction=Previous yearCurrent yearPrevious year×100\text{Percentage reduction} = \frac{\text{Previous year} - \text{Current year}}{\text{Previous year}} \times 100​​

Solution:

2000 to 2001:504550×100=10% 2001 to 2002:454045×100=11.11% 2002 to 2003:403540×100=12.5% 2003 to 2004:353035×100=14.29%\begin{aligned}\text{2000 to 2001:} &\quad \frac{50 - 45}{50} \times 100 = 10\% \\\ \\\text{2001 to 2002:} &\quad \frac{45 - 40}{45} \times 100 = 11.11\% \\\ \\\text{2002 to 2003:} &\quad \frac{40 - 35}{40} \times 100 = 12.5\% \\\ \\\text{2003 to 2004:} &\quad \frac{35 - 30}{35} \times 100 = 14.29\%\end{aligned}​​

So, the highest percentage reduction occurred in 2004.

Correct Option: (D) 2004

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