Multiple choice

Directions: The table given below shows the production of maize by 5 different states as a percentage of total production. Each state produces only maize and rice. There are three types of rice – R1, R2 and R3. The table also shows the R1 type of rice produced as a percentage of total rice production and the ratio of R2 and R3 type of rice. Total production by each state is 6,25,000. State Maize R1 R2 : R3 H 32% 60 6 : 11 R 62% 60 9 : 10 X 52% 60 3 : 5 S 52% 55 4 : 5 T 74% 80 3 : 10 What is the difference between the R1 type of rice produced by state X and the R2 type of rice produced by state H?

  1. 1,15,000

  2. 1,20,000

  3. 55,000

  4. 65,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

State X: Total = 625000, Maize = 52%, Rice = 48% (300000). R1 = 60% of 300000 = 180000. State H: Total = 625000, Maize = 32%, Rice = 68% (425000). R1 = 60% of 425000 = 255000, remaining rice = 170000. R2 = (6/17) * 170000 = 60000. Difference = 180000 - 60000 = 120000.

AI explanation

For state X, the total rice produced is 48 percent of 625000, which equals 300000, and since R1 is 60 percent of the rice, the amount of R1 produced is 180000. For state H, the total rice produced is 38 percent of 625000, which equals 237500, the remaining 40 percent of rice after allocating to R2 and R3 is 95000, and using the given ratio of 6 to 11, the R2 produced is calculated as (6 divided by 17) multiplied by 95000, resulting in 60000. The difference between the R1 rice from state X and the R2 rice from state H is 180000 minus 60000, yielding 120000.

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