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.
Here is a second way to reach the same choice, working in percentages instead of lac tons directly.
From the graph, the wheat to rice ratio for 2001 is 0.4, so for every 1 unit of rice, the state grows 0.4 units of wheat. That means wheat production is 40% of rice production in that year.
Rice production is given as 3 lac tons, so wheat production is $40\% \text{ of } 3 = 1.2$ lac tons.
Total home grown grain $= 3+1.2 = 4.2$ lac tons, against a requirement of 5 lac tons. The gap to be filled by imports is:
\[ 5-4.2 = 0.8 \text{ lac tons} \]
Let's summarize:
The state grows 4.2 lac tons of grain on its own in 2001, using the 0.4 wheat-to-rice ratio read from the graph.
Against the 5 lac ton requirement, this leaves a gap of about 0.8 lac tons to be imported, which rounds to the closest listed choice.
Among the given options, this shortfall is nearest to 0.65 lac tons, so the answer is option (D).
