If the production of wheat is 6 times that of barley, then what is the ratio between the yield per acre of… · ABC26GN5717
Subject: General Aptitude · Chapter: Pie Chart
The pie-chart shown gives the distribution of land in a village under various food crops. Study the pie-chart carefully and answer the questions that follow: Distribution of areas (in acres) under various food crops
Distribution of areas (in acres) under various food crops
Angle
Wheat
72
Rice
72
Others
99
Maize
45
Bajra
18
Jowar
18
Barley
36
Chart drawn from the data printed in the source figure.
If the production of wheat is 6 times that of barley, then what is the ratio between the yield per acre of wheat and barley?
(a)3 : 2
(b)3 : 1
(c)12 : 1
(d)2 : 3
Answer
Answer (as printed): B
Explanation
Area under wheat $$=\frac{72 A}{360}=\frac{A}{5}, \text { Area under barley }=\frac{36 A}{360}=\frac{A}{10} .$$ Let the production of barley be $y$ tons. Then, production of wheat $=6 y$ tons. Yield of wheat per acre $=\frac{6 y}{(A / 5)}=\frac{30 y}{A}$. Yield of barley per acre $=\frac{y}{(A / 10)}=\frac{10 y}{A}$. $$\text { Required ratio }=\frac{30 y}{A}: \frac{10 y}{A}=3: 1 .$$
Explanation as extracted from the printed page; notation may be imperfect.