Question:

When 5 percent is lost in grinding wheat, a country has to import 20 million bags to make up of the loss. But when only 2 percent is lost, it has to import 15 million bags. What is the quantity of wheat which grows in the country in million bags?

Updated On: Sep 26, 2024
  • \(133\frac{1}{3}\)
  • 150
  • \(106\frac{2}{3}\)
  • \(166\frac{2}{3}\)
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The Correct Option is D

Solution and Explanation

Given, when 5 percent is lost in grinding wheat, the country has to import 20 million bags to make up of the loss,
5\(\%\) of wheat = 20 million bags ......(1)
When only 2 percent is lost, it has to import 15 million bags,
2\(\%\) of wheat = 15 million bags ......(2)
From equation (1) and (2) 
3\(\%\) of wheat = 5 million and 100\(\%\) \(=\frac{500}{3}=166\frac{2}{3}\) 
Hence, option D is the correct answer.The correct option is (D): \(166\frac{2}{3}\)
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