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When 5% is lost in grinding wheat, a country has to import 20 million bags; but when only 2% is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?

Correct answer: D. 166 2/3 m

  • A. 133 1/3 m
  • B. 150 m
  • C. 106 2/3 m
  • D. 166 2/3 m

Explanation

Let the country's wheat production be x million bags and the required total be fixed. With 5% loss, usable wheat is 95% of x, so 0.95x + 20 million bags equals the requirement. With 2% loss, 0.98x + 15 million bags equals the same requirement, giving 0.03x = 5 million bags and x = 166 2/3 million bags. The likely trap is 150 million bags, which ignores that the loss percentages apply to the domestic production.

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