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 625000.
F = Total production of R2 type of rice by all the states.
K = Average of the total production of R1 type of rice by all the states.
What is the value of K/F?
R2 productions :
H = $$0.68\times0.40\times625000\times\frac{6}{17}=60000.$$
R = $$0.38\times0.40\times625000\times\frac{9}{19}=45000.$$
X = $$0.48\times0.40\times625000\times\frac{3}{8}=45000.$$
S = $$0.48\times0.45\times625000\times\frac{4}{9}=60000.$$
T = $$0.26\times0.20\times625000\times\frac{3}{13}=7500.$$
Total Production of R2 (F)= 217500 .
R1 Productions :
H = $$0.68\times0.60\times625000=255000.$$
R = $$0.38\times0.60\times625000=142500.$$
X = $$0.48\times0.60\times625000=180000.$$
S = $$0.48\times0.55\times625000=165000.$$
T = $$0.26\times0.80\times625000=130000.$$
Average of R1(K) =174500 .
So, K/F = $$\frac{174500}{217500}=0.802\ .$$
B is correct choice.
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