The production of rice in the year 2001 was 1000 tonnes which was 25% of the total food grain production in that year. In the next year if the production of rice decreased by 4% and production of rice as a percentage of total food grain production increased by 5 percentage points. what is the total food grain production in 2002?
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To find the total food grain production in 2002, we need to first calculate the production of rice in 2002 and then use the information given to find the total food grain production.
Step 1: Calculate the production of rice in 2002:
Given that the production of rice in 2001 was 1000 tonnes, we can calculate the decrease in production in 2002:
Decrease in rice production = 4% of 1000 tonnes
= (4/100) * 1000 tonnes
= 40 tonnes
Therefore, the production of rice in 2002 is 1000 tonnes - 40 tonnes = 960 tonnes.
Step 2: Calculate the percentage of rice production in total food grain production in 2002:
Given that the production of rice as a percentage of total food grain production increased by 5 percentage points, we can calculate the new percentage:
New percentage = 25% + 5% = 30%
Step 3: Calculate the total food grain production in 2002:
Since the production of rice in 2002 is 30% of the total food grain production, we can set up the following equation:
960 tonnes = 30% of total food grain production
To find the total food grain production, we divide both sides of the equation by 30%:
Total food grain production = 960 tonnes / 30%
Total food grain production = (960 tonnes / 30%) * 100%
Calculating this using a calculator, we get:
Total food grain production = 3200 tonnes
Therefore, the total food grain production in 2002 is 3200 tonnes.