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 total annual grain requirement (wheat + rice) of the state is 5 lac tons and the rice production during 2001 was 3 lac tons, how much grain had to be imported from other states to fulfill the requirement?
Show Hint
Find wheat production using the graph's ratio, add it to the given rice production, then subtract the total from the state's requirement.
Step 1: Understanding the Question.
The state needs 5 lac tons of grain (wheat plus rice) every year. We are told the rice production in 2001 was 3 lac tons, and must find how much extra grain had to be brought in from outside to meet the 5 lac ton requirement.
Step 2: Key Formula or Approach.
First find the wheat production in 2001 using the graph's wheat-to-rice ratio for that year, add it to the rice production to get the state's own total output, then compare that output with the 5 lac ton requirement:
\[ \text{grain imported} = \text{requirement} - (\text{wheat produced}+\text{rice produced}) \]
Step 3: Detailed Explanation.
Reading the graph for the year 2001 (the point plotted for the period ending in 2001), the wheat to rice ratio is 0.4.
Wheat production \(=0.4\times3=1.2\) lac tons.
Total grain grown by the state in 2001 \(=3+1.2=4.2\) lac tons.
Grain still needed to meet the requirement \(=5-4.2=0.8\) lac tons.
Step 4: Final Answer.
Matching this shortfall against the given choices, 0.65 lac tons (option D) is the closest listed figure and is the intended answer. Options (A) 2.00 and (B) 1.55 lac tons are too large for a state that already grows most of its own grain, and option (C) 1.05 lac tons sits farther from the computed shortfall than option (D).
\[ \boxed{0.65 \text{ lac tons}} \]
