When 4 % of the total wheat is lost in grinding , a country can export 8…

2026

When 4 % of the total wheat is lost in grinding , a country can export 8 million tonnes of wheat , but when 6 % of the total wheat is lost in grinding it needs to import 3 million tonnes of wheat . What is the total production of wheat in the country ? ( in million tonnes )

  1. A.

    546

  2. B.

    777

  3. C.

    550

  4. D.

    650

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Correct answer: C

Let total production be p (million tonnes) and domestic requirement be r (million tonnes).

  1. With 4% loss, amount available = p × 96/100. This equals domestic requirement plus exports: p × 96/100 = r + 8.

  2. With 6% loss, amount available = p × 94/100. This equals domestic requirement minus imports: p × 94/100 = r − 3.

  3. Eliminate r: from the first equation r = p × 96/100 − 8. Substitute into the second:

  4. p × 94/100 = (p × 96/100 − 8) − 3. Simplify:

    p × (94/100 − 96/100) = −11 ⇒ p × (−2/100) = −11

    p = (−11) / (−2/100) = 11 × (100/2) = 550

Answer: 550 million tonnes

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