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<html><body><h2 id="content-id-3602597418-2"><b>Number System Questions Overview</b></h2><p>Number System 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 Number System Questions.</p><h2 id="content-id-5107649382-3"><b>Question On Number System </b></h2>In ‘t’ years, the simple interest earned on a certain amount at the rate of 10% per annum is 5/8th of the principal amount. If the rate of interest is made three-fourths of 10% and the simple interest remains the same, which of the following statement is true about the changed value?
<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-8346927015-4"><b> Number System Questions Options</b></h2><ol><li><p>It remains the same as ‘t’</p>
</li><li><p>It becomes three –fourth of the time ‘t’</p>
</li><li><p>It increases to 8<span class="math-tex">\(\frac 1 3\)</span> years</p>
</li><li><p>It decreases to 5<span class="math-tex">\(\frac 1 2\)</span> years</p>
</li></ol> <h2 id="content-id-3210586794-5"><b> Number System Questions Solution</b></h2><p>The correct answer is <strong>option 2</strong> i.e. <strong>It becomes three –fourth of the time ‘t’.</strong></p>

<p><span class="math-tex">\(\frac{5}{8}=\frac{SI}{P}\)</span></p>

<p><span class="math-tex">\(SI=\frac {P\times t\times r}{100}\)</span></p>

<p><span class="math-tex">\(5=\frac {8\times t\times 10}{100}\)</span></p>

<p>t = 25/4 years</p>

<p>New r = 10% × 3/4 = (30/4)%</p>

<p>New time = n</p>

<p><span class="math-tex">\(5=\frac {8\times n\times 30}{400}\)</span></p>

<p>n = 25/3</p>

<p>From 2nd option n × 3/4 = t</p>

<p>= 25/3 × 3/4 = 25/4</p>

<p>It becomes three –fourth of the time ‘t’</p>
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