If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?

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			'question' => '<p>If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?</p>',
			'option1' => '<p>31: 33</p>',
			'option2' => '<p>33: 31</p>',
			'option3' => '<p>34: 31</p>',
			'option4' => '<p>14: 11</p>',
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			'explanation' => '<p>Total income = Profit earned + Total investment in the year.</p>
<p>Investment = (Profit earned/Profit percentage) &times; 100</p>
<p>Profit percentage of A in 2005 = 70%</p>
<p>Profit percentage of B in 2005 = 55%</p>
<p>Investment of A in 2005 = PA/0.7</p>
<p>Investment of B in 2005 = PB/0.55 [PA and PB are profits of A and B respectively]</p>
<p>Given both investments are same &rArr; PA/PB = 0.7/0.55</p>
<p>Total income of A in 2005 = PA + PA/0.7 = PA (1 + 1/0.7)</p>
<p>Total income of B in 2005 = PB (1 + 1/0.55)</p>
<p>&there4; Ratio of incomes =&nbsp;\(\frac{{{{\rm{P}}_{\rm{A}}}}}{{{{\rm{P}}_{\rm{B}}}}} \times \frac{{1 + \frac{1}{{0.7}}}}{{1 + \frac{1}{{0.55}}}} = \frac{{0.7}}{{0.55}} \times \left( {\frac{{1.7}}{{1.55}}} \right) \times \frac{{0.55}}{{1.7}} = \frac{{1.7}}{{1.55}}\)</p>
<p>&there4; Ratio = 1.7: 1.55 = 34: 31</p>',
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<p>Per cent profit earned by two companies producing electronic goods over the years</p>
<p>&nbsp;\(\% Profit = \frac{{Profit\ Earned}}{{Total\ Investment}} \times 100\)</p>
<p>Profit earned = Total Income &ndash; Total Investment in the Year</p>
<p><img src="/img/Uploads/File/Data%20Interception/6.PNG" alt="" width="785" height="400" /></p>
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			'question' => '<p>If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?</p>',
			'option1' => '<p>31: 33</p>',
			'option2' => '<p>33: 31</p>',
			'option3' => '<p>34: 31</p>',
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<p>Investment = (Profit earned/Profit percentage) &times; 100</p>
<p>Profit percentage of A in 2005 = 70%</p>
<p>Profit percentage of B in 2005 = 55%</p>
<p>Investment of A in 2005 = PA/0.7</p>
<p>Investment of B in 2005 = PB/0.55 [PA and PB are profits of A and B respectively]</p>
<p>Given both investments are same &rArr; PA/PB = 0.7/0.55</p>
<p>Total income of A in 2005 = PA + PA/0.7 = PA (1 + 1/0.7)</p>
<p>Total income of B in 2005 = PB (1 + 1/0.55)</p>
<p>&there4; Ratio of incomes =&nbsp;\(\frac{{{{\rm{P}}_{\rm{A}}}}}{{{{\rm{P}}_{\rm{B}}}}} \times \frac{{1 + \frac{1}{{0.7}}}}{{1 + \frac{1}{{0.55}}}} = \frac{{0.7}}{{0.55}} \times \left( {\frac{{1.7}}{{1.55}}} \right) \times \frac{{0.55}}{{1.7}} = \frac{{1.7}}{{1.55}}\)</p>
<p>&there4; Ratio = 1.7: 1.55 = 34: 31</p>',
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		'question' => '<p>If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?</p>',
		'option1' => '<p>31: 33</p>',
		'option2' => '<p>33: 31</p>',
		'option3' => '<p>34: 31</p>',
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		'explanation' => '<p>Total income = Profit earned + Total investment in the year.</p>
<p>Investment = (Profit earned/Profit percentage) &times; 100</p>
<p>Profit percentage of A in 2005 = 70%</p>
<p>Profit percentage of B in 2005 = 55%</p>
<p>Investment of A in 2005 = PA/0.7</p>
<p>Investment of B in 2005 = PB/0.55 [PA and PB are profits of A and B respectively]</p>
<p>Given both investments are same &rArr; PA/PB = 0.7/0.55</p>
<p>Total income of A in 2005 = PA + PA/0.7 = PA (1 + 1/0.7)</p>
<p>Total income of B in 2005 = PB (1 + 1/0.55)</p>
<p>&there4; Ratio of incomes =&nbsp;\(\frac{{{{\rm{P}}_{\rm{A}}}}}{{{{\rm{P}}_{\rm{B}}}}} \times \frac{{1 + \frac{1}{{0.7}}}}{{1 + \frac{1}{{0.55}}}} = \frac{{0.7}}{{0.55}} \times \left( {\frac{{1.7}}{{1.55}}} \right) \times \frac{{0.55}}{{1.7}} = \frac{{1.7}}{{1.55}}\)</p>
<p>&there4; Ratio = 1.7: 1.55 = 34: 31</p>',
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		'passage' => '<p>Directions: Study the following graph carefully to answer these questions:</p>
<p>Per cent profit earned by two companies producing electronic goods over the years</p>
<p>&nbsp;\(\% Profit = \frac{{Profit\ Earned}}{{Total\ Investment}} \times 100\)</p>
<p>Profit earned = Total Income &ndash; Total Investment in the Year</p>
<p><img src="/img/Uploads/File/Data%20Interception/6.PNG" alt="" width="785" height="400" /></p>
<p>&nbsp;</p>%^&',
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		'question' => '<p>If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?</p>',
		'option1' => '<p>31: 33</p>',
		'option2' => '<p>33: 31</p>',
		'option3' => '<p>34: 31</p>',
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		'explanation' => '<p>Total income = Profit earned + Total investment in the year.</p>
<p>Investment = (Profit earned/Profit percentage) &times; 100</p>
<p>Profit percentage of A in 2005 = 70%</p>
<p>Profit percentage of B in 2005 = 55%</p>
<p>Investment of A in 2005 = PA/0.7</p>
<p>Investment of B in 2005 = PB/0.55 [PA and PB are profits of A and B respectively]</p>
<p>Given both investments are same &rArr; PA/PB = 0.7/0.55</p>
<p>Total income of A in 2005 = PA + PA/0.7 = PA (1 + 1/0.7)</p>
<p>Total income of B in 2005 = PB (1 + 1/0.55)</p>
<p>&there4; Ratio of incomes =&nbsp;\(\frac{{{{\rm{P}}_{\rm{A}}}}}{{{{\rm{P}}_{\rm{B}}}}} \times \frac{{1 + \frac{1}{{0.7}}}}{{1 + \frac{1}{{0.55}}}} = \frac{{0.7}}{{0.55}} \times \left( {\frac{{1.7}}{{1.55}}} \right) \times \frac{{0.55}}{{1.7}} = \frac{{1.7}}{{1.55}}\)</p>
<p>&there4; Ratio = 1.7: 1.55 = 34: 31</p>',
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<p>We may terminate or suspend your account and bar access to Service immediately, without prior notice or liability, under our sole discretion, for any reason whatsoever and without limitation, including but not limited to a breach of Terms. If you wish to terminate your account, you may simply discontinue using Service. All provisions of Terms which by their nature should survive termination shall survive termination, including, without limitation, ownership provisions, warranty disclaimers, indemnity and limitations of liability.</p>
<p>When you post comments, questions, and reviews, and when you submit to us ideas and suggestions for new features or improvements, you authorize us to use and share this content with anyone, distribute it and promote it on any platform and in any media, and to make modifications or edits to it as we see fit. In legal language, by submitting or posting content on or through the platforms, you grant us a worldwide, non-exclusive, royalty-free license to use, copy, reproduce, process, adapt, modify, publish, transmit, display, and distribute your content in all present and future media or distribution methods. This includes making your content available to other companies, organizations, or individuals who partner with us. You represent and warrant that you have all the rights, power, and authority necessary to authorize us to use any content that you submit. You also agree to all such uses of your content with no compensation paid to you.</p>
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<p>You should be aware that there are certain things that Intromax will not take responsibility for. Certain functions of the app will require the app to have an active internet connection. The connection can be Wi-Fi or provided by your mobile network provider, but Intromax cannot take responsibility for the app not working at full functionality if you don&rsquo;t have access to Wi-Fi, and you don&rsquo;t have any of your data allowance left.</p>
<p>At some point, we may wish to update the app. The app is currently available on &ndash; the requirements for the system(and for any additional systems we decide to extend the availability of the app to) may change, and you&rsquo;ll need to download the updates if you want to keep using the app. Intromax does not promise that it will always update the app so that it is relevant to you and/or works with the version that you have installed on your device</p>
<p><strong>Changes to This Terms and Conditions</strong></p>
<p>We may update our Terms and Conditions from time to time. Thus, you are advised to review this page periodically for any changes. We will notify you of any changes by posting the new Terms and Conditions on this page.</p>
<p>These terms and conditions are effective as of 2018-01-24</p>
<p><strong>Contact Us</strong></p>
<p>If you have any questions or suggestions about our Terms and Conditions, do not hesitate to contact us at uzia87@yahoo.com</p>
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			'main_content' => '<p><span style="font-size: 14pt;">&nbsp;</span></p>
<p><span style="font-size: 14pt;"><strong><span style="color: #993300;">আজকের এক্সাম। যেগুলো আজকে দিতে পারবেন।</span></strong></span></p>
<p><img class="img-responsive" src="/img/Uploads/e1.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="color: #993300; font-size: 14pt;"><strong>'Upcoming Exam' বাটনে ক্লিক করলে আপকামিন এক্সাম গুলো দেখতে পারবেন।</strong></span></p>
<p><img class="img-responsive" src="/img/Uploads/e2.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;"><strong><span style="color: #993300;">'Expired Exam' বাটনে ক্লিক করলে দেখতে পারবে যে এক্সাম গুলো সময় শেষ হয়ে গেছে। কিক্তু ইচ্ছা করলে দেতে পারবেন।</span></strong></span></p>
<p><img class="img-responsive" src="/img/Uploads/e3.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;"><strong><span style="color: #993300;">পরীক্ষা দেওয়ার জন্য নিচের মার্ক করা বাটনে ক্লিক করুন</span></strong></span></p>
<p><img class="img-responsive" src="/img/Uploads/e5.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="color: #993300; font-size: 14pt;"><strong>এক্সাম গাইডলাইন ভালো ভাবে দেখে 'Exam Start' বাটনে ক্লিক করুন।</strong></span></p>
<p><img class="img-responsive" src="/img/Uploads/e7.jpg" alt="" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;"><strong><span style="color: #993300;">মার্ক করা বাটন গুলোঃ</span></strong></span></p>
<p><span style="font-size: 14pt;">'Save &amp; Next'= প্রত্যকটি প্রশ্ন উত্তর দেওয়ার পর এই বাটনটি চাপ দিবেন।</span></p>
<p><span style="font-size: 14pt;">'Question Paper'= সব গুলো প্রশ্ন এক সাথে দেখতে পারবেন।</span></p>
<p><span style="font-size: 14pt;">'Submit'= সব গুলো প্রশ্ন দেওয়া হলে এই বাটন ক্লিক করবেন।&nbsp;</span></p>
<p><img class="img-responsive" src="/img/Uploads/e8.jpg" alt="" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;"><strong><span style="color: #993300;">'No' বাটনে ক্লিক করবেন।</span></strong></span></p>
<p><img class="img-responsive" src="/img/Uploads/e10.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;"><strong><span style="color: #993300;">'Finish Exam' বাটনে ক্লিক করবেন। এর পর এক্সাম ফীডব্যাক পেইজ আসবে,</span></strong></span></p>
<p>&nbsp;</p>
<p><img class="img-responsive" src="/img/Uploads/e11.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;">এই পরীক্ষা সম্পর্কে কোন মতামত থাকলে অবশ্যই লিখবেন। এর পর সাবমিট বাটনে ক্লিক করবেন। তারপর এই ব্রাউজার উইন্ডো টি বন্ধ হয়ে যাবে।</span></p>
<p>&nbsp;</p>
<p><img class="img-responsive" src="/img/Uploads/e12.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;">তারপর এক্সাম রেজাল্ট দেখার জন্য মেনু থেকে 'My Result' বাটনে ক্লিক করে নিচের মার্ক করা বাটনে ক্লিক করুন।</span></p>
<p><img class="img-responsive" src="/img/Uploads/e13.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;">এক্সাম &nbsp;রিপর্ট।</span></p>
<p><img class="img-responsive" src="/img/Uploads/e14.jpg" alt="" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;">সাবজেক্ট অনুযায়ী পরিক্ষার রিপর্ট।</span></p>
<p><img class="img-responsive" src="/img/Uploads/e15.jpg" alt="" /></p>
<p>&nbsp;</p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;">সময় অনুযায়ী পরিক্ষার রিপর্ট, কোন কোন বিষয় কতটুকূ সময় লাগছে।</span></p>
<p><img class="img-responsive" src="/img/Uploads/e16.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><span style="font-size: 14pt;">বিস্তারিত সবগুলোর প্রশ্নের রিপর্ট।</span></p>
<p>&nbsp;</p>
<p><img class="img-responsive" src="/img/Uploads/e17.jpg" alt="" /></p>
<p>&nbsp;</p>
<p><img class="img-responsive" src="/img/Uploads/e18.jpg" alt="" /></p>
<p><span style="font-size: 14pt;">Your Result Compare With Top 10 Students.</span></p>
<p>&nbsp;</p>
<p><img class="img-responsive" src="/img/Uploads/e19.jpg" alt="" /></p>',
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include - APP/View/Argues/view.ctp, line 19
View::_evaluate() - CORE/Cake/View/View.php, line 929
View::_render() - CORE/Cake/View/View.php, line 891
View::render() - CORE/Cake/View/View.php, line 460
Controller::render() - CORE/Cake/Controller/Controller.php, line 952
Dispatcher::_invoke() - CORE/Cake/Routing/Dispatcher.php, line 192
Dispatcher::dispatch() - CORE/Cake/Routing/Dispatcher.php, line 160
[main] - APP/webroot/index.php, line 108
A 31: 33
B 33: 31
C 34: 31
D 14: 11
E None of these
Solution

Correct Answer: Option C
Total income = Profit earned + Total investment in the year.
Investment = (Profit earned/Profit percentage) × 100
Profit percentage of A in 2005 = 70%
Profit percentage of B in 2005 = 55%
Investment of A in 2005 = PA/0.7
Investment of B in 2005 = PB/0.55 [PA and PB are profits of A and B respectively]
Given both investments are same ⇒ PA/PB = 0.7/0.55
Total income of A in 2005 = PA + PA/0.7 = PA (1 + 1/0.7)
Total income of B in 2005 = PB (1 + 1/0.55)
∴ Ratio of incomes = \(\frac{{{{\rm{P}}_{\rm{A}}}}}{{{{\rm{P}}_{\rm{B}}}}} \times \frac{{1 + \frac{1}{{0.7}}}}{{1 + \frac{1}{{0.55}}}} = \frac{{0.7}}{{0.55}} \times \left( {\frac{{1.7}}{{1.55}}} \right) \times \frac{{0.55}}{{1.7}} = \frac{{1.7}}{{1.55}}\)
∴ Ratio = 1.7: 1.55 = 34: 31
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