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Question

A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is :

400 kg

560 kg

600 kg

640 kg

ANSWER : 3

Descrption

<pre>ধরি, x কেজিতে 8% লাভ করে
<math xmlns = "http://www.w3.org/1998/Math/MathML"><mo>&#x2234;</mo><mo>&#xA0;</mo><mo>(</mo><mn>1000</mn><mo> - </mo><mi>x</mi><mo>)</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>"</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mn>18</mn><mo>%</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>"</mo><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>"</mo><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mfrac><mn>8</mn><mn>100</mn></mfrac><mo>&#xD7;</mo><mo>(</mo><mn>1000</mn><mo> - </mo><mi>x</mi><mo>)</mo><mo>&#xD7;</mo><mfrac><mn>18</mn><mn>100</mn></mfrac><mo> = </mo><mn>1000</mn><mo>&#xD7;</mo><mfrac><mn>14</mn><mn>100</mn></mfrac><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>8</mn><mi>x</mi><mo>  +  </mo><mn>10</mn><mo>(</mo><mn>1000</mn><mo> - </mo><mi>x</mi><mo>)</mo><mo> = </mo><mn>1000</mn><mo>&#xD7;</mo><mn>14</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>8</mn><mi>x</mi><mo>  +  </mo><mn>18000</mn><mo> - </mo><mn>18</mn><mi>x</mi><mo> = </mo><mn>14000</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mo> - </mo><mn>10</mn><mi>x</mi><mo> = </mo><mn>14000</mn><mo> - </mo><mn>18000</mn><mspace linebreak = "newline"/><mo>&#x21D2;</mo><mn>10</mn><mi>x</mi><mo> = </mo><mn>4000</mn><mspace linebreak = "newline"/><mo>&#x2234;</mo><mo>&#xA0;</mo><mi>x</mi><mo> = </mo><mn>400</mn></math>
18% লাভে বিক্রি করে (1000 - 400) বা 600 কেজি।

</pre>

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