ABC26GN5717 · Pie Chart

Subject: General Aptitude · Chapter: Pie Chart · Exam: · Marks: · Difficulty:

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.

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