Question

In half of a 600 square meters field, a fanner sowed ragi, in one-third of the remaining, he sowed coconut and in one-fourth of the left over, he sowed groundnut. He left half of the remaining land uncultivated. In one-third of the land still left, he dug a well, utilising the remaining land for growing orchids. What fraction of the total land is he using for orchid cultivation?

• A. 1/36
• B. 1/28
• C. 1/16
• D. 1/12

Answer 1

The correct option is D 1/12

$Letstotallandbex,Ragioccupies=\frac{1}{2}x,Landleft=\frac{1}{2}x,Groundnutoccupies=\frac{1}{4}\times \frac{1}{2}x=\frac{1}{8}x,Landleft=\frac{3}{8}x,Coconutoccupies=\frac{1}{3}\times \frac{3}{8}x=\frac{1}{8}x,Landleft=\frac{1}{4}x,Landuncultivated=\frac{1}{2}\times \frac{1}{4}x=\frac{1}{8}x=landleft,Orchidoccupies=\frac{2}{3}\times \frac{1}{8}x=\frac{1}{12}x$