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    Subject

    Quantitative Aptitude

    Topic

    Areas & Volumes

    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?

    ক)
    315
    খ)
    385
    গ)
    415
    ঘ)
    485

    Explanation

    Let the areas of the two parts be x and (700-x) hectares therefore, [x−(700−x)]=15[x+(700−x)2]\left[x-\left(700-x\right)\right]=\frac15\left[\frac{x+\left(700-x\right)}2\right] ⇒2x−700=70\Rightarrow2x-700=70 ⇒x=385\Rightarrow x=385 So, the two parts are 385 and 315. Hence, Area of the smaller = 315 hectares

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