When 10% is lost in grinding wheat, a country has to import 2 million tons; but when only 6% is lost. It has to import only 1 million ton. Find the quantity of wheat which grows in the country:
Explanation:
Let the wheat grown in the country be x million tons.
Consumption in the country = (Wheat produced – wheat lost) + Import
∴ Consumption initially = (w – 10% of w) + 2 = 0.9w + 2
∴ Consumption finally = (w – 6% of w) + 1 = 0.94 + 1
⇒ 0.9x + 2 = 0.94x + 1
⇒ 0.04x = 1
⇒ x =1/0.04= 25 million tons
Alternately, Due to reduction in wastage from 10% to 6% (i.e., 4% reduction) the country imports 1 mn tons less.
⇒ 4% of wheat production = 1 mn tons
⇒ 4/100 × wheat production = 1 mn tons
⇒ wheat production = 100/4 = 25 mn tons.
Hence, option (d).
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