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?

(1 - .04) * 1000 = (.25 + .05) * t

6533 tonnes

To solve this problem, we can follow these steps:

Step 1: Calculate the total food grain production in 2001.
Given that the production of rice in 2001 was 1000 tonnes, which was 25% of the total food grain production, we can calculate the total food grain production using the following formula:

Total food grain production (2001) = (Rice production in 2001) / (Percentage of rice production as a fraction)
Total food grain production (2001) = 1000 / (25/100)
Total food grain production (2001) = 1000 / 0.25
Total food grain production (2001) = 4000 tonnes

Step 2: Calculate the production of rice in 2002.
Given that the production of rice decreased by 4%, we can calculate the production of rice in 2002 using the following formula:

Production of rice (2002) = Production of rice in 2001 - (Decreased percentage as a fraction * Production of rice in 2001)
Production of rice (2002) = 1000 - (4/100 * 1000)
Production of rice (2002) = 1000 - (0.04 * 1000)
Production of rice (2002) = 1000 - 40
Production of rice (2002) = 960 tonnes

Step 3: Calculate the 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 total food grain production in 2002 using the following formula:

Total food grain production (2002) = Production of rice (2002) / (Percentage of rice production as a fraction)
Total food grain production (2002) = 960 / ((25+5)/100)
Total food grain production (2002) = 960 / (0.30)
Total food grain production (2002) = 3200 tonnes

Therefore, the total food grain production in 2002 was 3200 tonnes.

To find the total food grain production in 2002, we need to determine the production of rice in that year given the information provided.

Let's break down the given information step by step:

1. The production of rice in 2001 was 1000 tonnes, which was 25% of the total food grain production in that year. This means that the total food grain production in 2001 can be calculated as follows:

Total food grain production in 2001 = (Rice production in 2001) / (Percentage of rice production as a portion of total food grain production)

Total food grain production in 2001 = 1000 tonnes / (25/100) = 1000 tonnes / 0.25 = 4000 tonnes

So, the total food grain production in 2001 was 4000 tonnes.

2. In the next year (2002), the production of rice decreased by 4%. This means that the rice production in 2002 can be calculated as follows:

Rice production in 2002 = Rice production in 2001 - (Rice production in 2001 * 4/100)

Rice production in 2002 = 1000 tonnes - (1000 tonnes * 4/100) = 1000 tonnes - 40 tonnes = 960 tonnes

3. Additionally, it is mentioned that the production of rice as a percentage of total food grain production in 2002 increased by 5 percentage points. This means that the rice production as a percentage of total food grain production in 2002 can be calculated as follows:

Percentage of rice production as a portion of total food grain production in 2002 = (Rice production in 2002 / Total food grain production in 2002) * 100

Let's assume that the total food grain production in 2002 is X tonnes:

Percentage of rice production as a portion of total food grain production in 2002 = (960 tonnes / X tonnes) * 100

The increase is 5 percentage points, so the equation will be:

(960 tonnes / X tonnes) * 100 = 25% + 5%

Solving this equation, we get:

(960 tonnes / X tonnes) * 100 = 30%

Cross-multiplication:

(960 tonnes * 100) = 30% * X tonnes

96000 = (30/100) * X tonnes

96000 = 0.3X tonnes

X tonnes = 96000 / 0.3

X tonnes = 320000

So, the total food grain production in 2002 was 320000 tonnes.

Therefore, the total food grain production in 2002 was 320000 tonnes.