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<html><body><h2 id="content-id-2974315680-2"><b>MIxtures And Alligations Questions Overview</b></h2><p>MIxtures And Alligations Questions have a good weightage in the Rbi Assistant Exam and the type of question asked in Rbi Assistant 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-0513289674-3"><b>Question On MIxtures And Alligations </b></h2>A container is filled with a mixture of Spirit and Water, where Spirit is 80% of the total volume. If 30.12 liters of the mixture are replaced with 44.95 liters of Water, the percentage of Spirit in the resulting mixture drops to 40%. Find the initial quantity of the mixture in the container (in liters).
<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 : 41 Seconds </h3></div></div><h2 id="content-id-3294176850-4"><b> MIxtures And Alligations Questions Options</b></h2><ol><li><p>65</p>
</li><li><p>70</p>
</li><li><p>85</p>
</li><li><p>80</p>
</li><li><p>75</p>
</li></ol> <h2 id="content-id-2416893750-5"><b> MIxtures And Alligations Questions Solution</b></h2><p>The correct answer is <strong>option 5</strong> i.e. <strong>75</strong></p>

<p>30.12 ≈ 30 liters</p>

<p>44.95 ≈ 45 liters</p>

<p>Let total mixture = x liters</p>

<p>Initial Spirit = 80% of x = 4x/5</p>

<p>Spirit removed with 30 liters mixture = 80% of 30 = 24 liters</p>

<p>Remaining Spirit = 4x/5 − 24</p>

<p>After adding 45 liters water, total mixture = x − 30 + 45 = x + 15</p>

<p>Final Spirit percentage = 40%</p>

<p>(4x/5 − 24)/(x + 15) = 40/100</p>

<p>(4x/5 − 24)/(x + 15) = 2/5</p>

<p>5 × (4x/5 − 24) = 2(x + 15)</p>

<p>4x − 120 = 2x + 30</p>

<p>2x = 150</p>

<p>x = 75 liters</p>
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The correct answer is option 5 i.e. 75  - MIxtures And Alligations Questions are asked in Rbi Assistant exams and your question has been explained by experts like Neetu Mam.

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