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<html><body><h2 id="content-id-0265189437-2"><b>MIxtures And Alligations Questions Overview</b></h2><p>MIxtures And Alligations Questions have a good weightage in the Ssc Cgl Exam and the type of question asked in Ssc Cgl exam is similar to the question mentioned below. It has been solved and explained by KD Live Experts under the guidance of Neetu Mam and they have tried to elaborate the concept used in MIxtures And Alligations Questions.</p><h2 id="content-id-1920476853-3"><b>Question On MIxtures And Alligations </b></h2>700 ml mixture of chemicals A and B where A and B are in the ratio 9 : 5 is mixed with 800 ml mixture of same chemicals but of unknown concentration. If the resultant solution had chemicals A and B in the ratio 1 : 1, then what is the ratio of chemicals A and B in the unknown solution?
<div class="row show--dificulty--bar" style="margin-top:8px;"><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex !important;border-right:0.1px solid #eee;"><h3 style="font-size:12px !important;">Difficulty : Moderate </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 42 Seconds </h3></div></div><h2 id="content-id-8413629750-4"><b> MIxtures And Alligations Questions Options</b></h2><ol><li><p>5 : 3</p>
</li><li><p>3 : 5</p>
</li><li><p>4 : 3</p>


</li><li><p>3 : 4</p>
</li></ol> <h2 id="content-id-0564981732-5"><b> MIxtures And Alligations Questions Solution</b></h2><p>The correct answer is<strong> option 2</strong> i.e. <strong>3 : 5</strong></p>

<p>Let the ratio of chemicals A and B in the unknown solution be k : 1</p>

<p>Total amount of A in the mixed solution = Amount of A in first solution + Amount of A in unknown solution</p>

<p>⇒ 1/(1 + 1) × (700 + 800) = 9/(9 + 5) × 700 + k/(k + 1) × 800</p>

<p>⇒ 1500/2 = 9/14 × 700 + 800k/(k + 1)</p>

<p>⇒ 750 = 450 + 800k/(k + 1)</p>

<p>⇒ 300 = 800k/(k + 1)</p>

<p>⇒ 300k + 300 = 800k</p>

<p>⇒ 300 = 500k</p>

<p>⇒ k = 3/5</p>

<p>∴ Required ratio = 3 : 5</p>
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