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<html><body><h2 id="content-id-0298357641-2"><b>MIxtures And Alligations Questions Overview</b></h2><p>MIxtures And Alligations Questions have a good weightage in the Ssc Chsl Exam and the type of question asked in Ssc Chsl 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-2397164085-3"><b>Question On MIxtures And Alligations </b></h2>A 7:5 mixture of milk and water is contained in a vessel. The ratio of milk to water becomes 7:9, when 9 liters of the mixture is removed, and the same volume of water is added to the vessel. How much milk was there in the vessel at the beginning?
<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 : Easy </h3></div><div class="col-sm-6 show--dificulty--bar" style="display:inline-flex;"><h3 style="font-size:12px !important;"> Average Time : 40 Seconds </h3></div></div><h2 id="content-id-3829614057-4"><b> MIxtures And Alligations Questions Options</b></h2><ol><li><p>30 litres</p>
</li><li><p>25 litres</p>
</li><li><p>21 litres</p>
</li><li><p>31 litres</p>
</li></ol> <h2 id="content-id-4570123896-5"><b> MIxtures And Alligations Questions Solution</b></h2><p>The correct answer is <strong>option 3</strong> i.e. <strong>21 litres.</strong></p>

<p>Initial milk : water = 7 : 5</p>

<p>Let the total mixture = 12x litres</p>

<p>Milk = 7x, Water = 5x.</p>

<p>9 litres removed contains milk = 9 × <span class="math-tex">\(7\over12\)</span> = <span class="math-tex">\(21\over4\)</span> litres.</p>

<p>Milk left = 7x − <span class="math-tex">\(21\over4\)</span></p>

<p>Water left = 5x − <span class="math-tex">\(15\over4\)</span> + 9 = 5x + <span class="math-tex">\(21\over4\)</span></p>

<p>New ratio = 7 : 9</p>

<p>⇒ <span class="math-tex">\({7x â&#136;&#146; {21\over4}} \over{5x + {21\over4}}\)</span> = <span class="math-tex">\(7\over9\)</span></p>

<p>⇒ 9(7x − <span class="math-tex">\(21\over4\)</span>) = 7(5x + <span class="math-tex">\(21\over4\)</span>)</p>

<p>⇒ <span class="math-tex">\(63x â&#136;&#146; 189\over4\)</span> = <span class="math-tex">\(35x + 147\over4\)</span></p>

<p>⇒ 28x = <span class="math-tex">\(336\over4\)</span> = 84</p>

<p>⇒ x = 3</p>

<p>Initial milk = 7 × 3 = 21 litres</p>
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The correct answer is option 3 i.e. 21  - MIxtures And Alligations Questions are asked in Ssc Chsl exams and your question has been explained by experts like Neetu Mam.

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