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<html><body><h2 id="content-id-6254089731-2"><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-7380619452-3"><b>Question On MIxtures And Alligations </b></h2>In a mixture of milk and water, the water concentration is 25%. A milkman sells 20 litres of the mixture and adds 15 litres of milk as well as 15 litres of water. Now the concentration of milk is 150% greater than that of water. What was the quantity of milk in the original mixture?
<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 : 41 Seconds </h3></div></div><h2 id="content-id-5267098314-4"><b> MIxtures And Alligations Questions Options</b></h2><ol><li><p>144 litres</p>
</li><li><p>150 litres</p>
</li><li><p>165 litres</p>
</li><li><p>162 litres</p>
</li><li><p>None of these</p>
</li></ol> <h2 id="content-id-3874105296-5"><b> MIxtures And Alligations Questions Solution</b></h2><p>The correct answer is <strong>Option 2</strong> i.e. <strong>150 litres</strong></p>

<p>Suppose the quantity of the original mixture = x litres</p>

<p>Quantity of water = 0.25x</p>

<p>Quantity of milk = 0.75x</p>

<p>Since the milkman sells 20 litres of the mixture and adds 15 litres of milk as well as 15 litres of water;</p>

<p>Quantity of water = 0.25 × (x - 20) + 15 = 0.25x + 10</p>

<p>Quantity of milk = 0.75 × (x - 20) + 15 = 0.75x</p>

<p>Total quantity of mixture = x - 20 + 30 = (x + 10) litres</p>

<p>It is given that the concentration of milk is 150% greater than that of water.</p>

<p>So,</p>

<p>0.75x/(x + 10) = 2.5 × (0.25x + 10)/(x + 10) </p>

<p>0.75x = 0.625x + 25</p>

<p>0.125x = 25</p>

<p>x = 200</p>

<p>Hence, quantity of milk in the original mixture = 200 × 0.75 = 150 litres</p>
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