A large field of 700 hectares is divided into two parts The difference of the areas of the two parts...........

Quantitative Aptitude ( CCS) Mensuration 2D

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?

315

365

965

653

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Explanation:

Let the areas of the two parts be x and (700-x) hectares
therefore, [x−(700−x)]=[x+(700−x)/2]1/5
⇒2x−700=70
⇒x=385
So, the two parts are 385 and 315.
Hence, Area of the smaller = 315 hectares