{"id":21083,"date":"2019-05-14T12:28:57","date_gmt":"2019-05-14T06:58:57","guid":{"rendered":"https:\/\/e-gmat.com\/blogs\/?p=21083"},"modified":"2020-12-28T09:09:34","modified_gmt":"2020-12-28T03:39:34","slug":"three-roommates-bela-gyorgy-and-janos-together-saved-money-for-a-trip-the-amount-that-og-2020-question-363-with-solution","status":"publish","type":"post","link":"https:\/\/e-gmat.com\/blogs\/three-roommates-bela-gyorgy-and-janos-together-saved-money-for-a-trip-the-amount-that-og-2020-question-363-with-solution\/","title":{"rendered":"Three roommates\u2014Bela, Gyorgy, and Janos\u2014together saved money for a trip. The amount that&#8230; &#8211; OG 2020 Question #363 with Solution"},"content":{"rendered":"<span class=\"rt-reading-time\" style=\"display: block;\"><span class=\"rt-label rt-prefix\">A <\/span> <span class=\"rt-time\">2<\/span> <span class=\"rt-label rt-postfix\">min read <\/span><\/span>\n<h2 id=\"h-og-2020-question-no-363\">OG 2020: Question No. 363<\/h2>\n\n\n\n<p>Three roommates\u2014Bela, Gyorgy, and Janos\u2014together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1\/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates?<\/p>\n\n\n\n<ol><li>Bela had a monthly income of $2,000.<\/li><li>Janos saved 1.5 times as much for the trip as Bela.<\/li><\/ol>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Source<\/td><td>OG 2020<\/td><\/tr><tr><td>Type<\/td><td>Data Sufficiency<\/td><\/tr><tr><td>Topic<\/td><td>Word Problems<\/td><\/tr><tr><td>Sub-Topic<\/td><td>Percents\/Ratio<\/td><\/tr><tr><td>Difficulty<\/td><td>Medium<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 id=\"h-solution\">Solution<\/h3>\n\n\n\n<h4 id=\"h-steps-1-2-understand-question-and-draw-inferences\"><strong><u>Steps 1 &amp; 2: Understand Question and Draw Inferences<\/u><\/strong><\/h4>\n\n\n\n<p>In this question, we are given<\/p>\n\n\n\n<ul><li>Three roommates\u2014Bela(B), Gyorgy(G), and Janos(J)\u2014together saved money for a trip.<\/li><li>The amount that Bela saved was equal to 8% of his monthly income.<\/li><li>The amount that Gyorgy saved was exactly 1\/3 of the total amount saved by all 3 roommates.<\/li><\/ul>\n\n\n\n<p>We need to determine<\/p>\n\n\n\n<ul><li>The total amount saved for the trip by all 3 roommates.<\/li><\/ul>\n\n\n\n<p>To find the total savings, we need to know their individual savings.<\/p>\n\n\n\n<p>With this understanding, let us now analyse the individual statements.<\/p>\n\n\n\n<h4 id=\"h-step-3-analyse-statement-1\"><strong><u>Step 3: Analyse Statement 1<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 1, B had a monthly income of $2000.<\/p>\n\n\n\n<p>From this question, we know that B saved 8% of his monthly income.<\/p>\n\n\n\n<ul><li>8% of B\u2019s income = 2000<\/li><\/ul>\n\n\n\n<p>Therefore, from this statement, we can determine the monthly income of B.<\/p>\n\n\n\n<p>However, we cannot determine the savings of all of them.<\/p>\n\n\n\n<p>Hence, statement 1 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-4-analyse-statement-2\"><strong><u>Step 4: Analyse Statement 2<\/u><\/strong><\/h4>\n\n\n\n<p>As per the information given in statement 2, J saved 1.5 times as much for the trip as B.<\/p>\n\n\n\n<ul><li>This gives us a relation between the savings of J and B.<\/li><li>However, we cannot determine the savings of all them.<\/li><\/ul>\n\n\n\n<p>Hence, statement 2 is not sufficient to answer the question.<\/p>\n\n\n\n<h4 id=\"h-step-5-combine-both-statements-together-if-needed\"><strong><u>Step 5: Combine Both Statements Together (If Needed)<\/u><\/strong><\/h4>\n\n\n\n<p>Combining information from both statements, we know<\/p>\n\n\n\n<ul><li>The monthly income and corresponding savings of B.<\/li><li>And therefore, the savings of J.<\/li><\/ul>\n\n\n\n<p>Now, savings of G =&nbsp; 1\/3 (savings of B + savings of J + savings of G)<\/p>\n\n\n\n<ul><li>As we already know the savings of J and B, we can calculate the savings of G using the above equation.<\/li><li>Therefore, we can answer the question using the information available in both statements.<\/li><\/ul>\n\n\n\n<p>Hence, the correct answer is option C.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>Did you know a 700+ GMAT Score can increase your chances to get into your dream business school? We can help you achieve that. Why don\u2019t you<a target=\"_blank\" href=\"https:\/\/e-gmat.com\/ft-gmat\/?channel=blogsin_article&amp;utm_source=blogs&amp;utm_medium=in_article&amp;utm_campaign=free_trial&amp;utm_term=blogs_in_article_lekhika\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">\u00a0<strong>try out our FREE Trial?<\/strong><\/a>\u00a0We are the<strong>\u00a0<a target=\"_blank\" href=\"https:\/\/gmatclub.com\/reviews\/e-gmat-6\" rel=\"noreferrer noopener external\" data-wpel-link=\"external\">most reviewed online GMAT Preparation company in GMATClub<\/a><\/strong>\u00a0with more than 1970 reviews as of December 2020.<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>OG 2020: Question No. 363 Three roommates\u2014Bela, Gyorgy, and Janos\u2014together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly 1\/3 of the total amount saved by all 3 roommates. What was the total amount saved for the trip by [&hellip;]<\/p>\n","protected":false},"author":79663,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","ub_ctt_via":""},"categories":[44,94,60,100,102],"tags":[],"featured_image_src":null,"author_info":{"display_name":"Juhi Gupta","author_link":"https:\/\/e-gmat.com\/blogs\/author\/juhie-gmat-com\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v17.1.1 (Yoast SEO v17.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Three roommates\u2014Bela, Gyorgy, and Janos\u2014together saved money for a trip. 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