A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is… · ABC26GN4321
Subject: General Aptitude · Chapter: Area
A large field of 700 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?
(a)225
(b)280
(c)300
(d)315
Answer
No answer key was printed for this question.
Explanation
Let the areas of the two parts be $x$ and $(700-x)$ hectares respectively. Then, $$\begin{aligned} & {[x-(700-x)]=\frac{1}{5} \times\left[\frac{x+(700-x)}{2}\right] } \\ \Leftrightarrow & 2 x-700=70 \Leftrightarrow x=385 \end{aligned}$$ So, area of smaller part = (700-385) hectares = 315 hectares.
Explanation as extracted from the printed page; notation may be imperfect.