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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.
A = Average of the R3 type of rice produced by state H, R, S and X together.
B = Difference between the R2 type of rice produced by state T and R1 type of rice produced by state R.
What is the value of B - A?
R3 Productions :
H = $$0.68\times0.40\times625000\times\frac{11}{17}=110000.$$
R = $$0.38\times0.40\times625000\times\frac{10}{19}=50000.$$
X = $$0.48\times0.40\times625000\times\frac{5}{8}=75000.$$
S = $$0.48\times0.45\times625000\times\frac{5}{9}=75000.$$
So, Average (A) = 77500.
R2 Production of T = $$0.26\times0.20\times625000\times\frac{3}{13}=7500.$$
R1 Production of R = $$0.38\times0.60\times625000=142500.$$
So, (B-A) = 135000-77500= 57500.
C is correct choice.
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