The following line graph shows the ratio of wheat production to rice production of a state in India over 7 years, from 1999 to 2006. Answer the question based on this data.
If the rice production in 2003 was 4 lac tons, what was its wheat production during 2003?
Show Hint
Multiply the rice production by the wheat-to-rice ratio read off the graph for that year.
Step 1: Understanding the Question.
The graph plots the ratio (wheat production) to (rice production) for each year from 1999 to 2006. We are told the rice production in 2003 was 4 lac tons and need the matching wheat production for that same year.
Step 2: Key Formula or Approach.
Since the plotted value is \(\dfrac{\text{wheat}}{\text{rice}}\), wheat production for any year is:
\[ \text{wheat} = \text{ratio} \times \text{rice} \]
Step 3: Detailed Explanation.
Reading the graph for the year 2003 (the point plotted for the period ending in 2003), the wheat to rice ratio is 1.2.
Rice production in 2003 is given as 4 lac tons.
\[ \text{wheat} = 1.2 \times 4 = 4.8 \text{ lac tons} \]
Step 4: Final Answer.
Wheat production in 2003 was 4.8 lac tons. Option (A) 1.2 lac tons is just the ratio itself, not multiplied by rice, and options (B) 3.6 and (D) 5.0 lac tons come from misreading the ratio.
\[ \boxed{4.8 \text{ lac tons}} \]
