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Question

Mathematics Question on Percentage

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?

A

13313133\frac{1}{3}

B

150

C

10623106\frac{2}{3}

D

16623166\frac{2}{3}

Answer

16623166\frac{2}{3}

Explanation

Solution

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%\% =5003=16623=\frac{500}{3}=166\frac{2}{3}
Hence, option D is the correct answer.The correct option is (D): 16623166\frac{2}{3}