Subject: General Aptitude · Chapter: Area · Exam: · Marks: · Difficulty:
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
Answer (as printed):
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.