If 17% is lost in grinding wheat, a country has to import 6 lakhs tonnes of wheat but can maintain from its resources if only 5% is lost in grinding. The quantity of wheat grown in the country is
Explanation:
Let x lakh tones wheat is produced in the country.
When 17% of it is lost in grinding, the country needs to import 6 lakhs tonnes.
⇒ Consumption of wheat (in lakh tones) = 0.83x + 6 ...(1)
When 5% of it is lost in grinding, the country does not need to import.
⇒ Consumption of wheat = 0.95x ...(2)
From (1) and (2)
0.83x + 6 = 0.95x
⇒ 0.12x = 6 or
x = 50 lakh tonnes = 50,00,000 tonnes
Alternately, Due to saving (17 - 5 = ) 12% of wheat produced, the country need not import 6 lakh tones of wheat.
⇒ 12% of Wheat produced = 6 lakh tones
⇒ 12/100 × Wheat produced = 6 lakh tones
⇒ Wheat produced = 50 lakh tones
Hence, option (d).
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