When 15\% is lost in grinding wheat, a country can export 30 lakh tons of wheat. On the other hand, if 10\% is lost in grinding, it can export 40 lakh tons of wheat. The production of wheat in the country is:
(a)20 lakh tons
(b)80 lakh tons
(c)200 lakh tons
(d)800 lakh tons
Answer
Answer (as printed): C
Explanation
Let the total production be $x$ lakh tons. Then, $15 \%$ of $x-10 \%$ of $x=(40-30)$ lakh tons $$\begin{aligned} & \Leftrightarrow \quad 5 \% \text { of } x=10 \text { lakh tons } \\ & \Leftrightarrow \quad x=\left(\frac{10 \times 100}{5}\right)=200 \text { lakh tons. } \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.