{"id":"aqua_rat:17c380a27eb5aee7622b5c591caae574","source_id":"aqua_rat","source_item_id":"17c380a27eb5aee7622b5c591caae574","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan's share.","stimulus":"","stimulus_html":null,"stem_html":"<p>A father wants to divide Rs. 5100 between his two sons, Mohan and Sohan who are 23 and 24 at present. He divides the amount in such a way that if their shares are invested at compound interest at 4% p.a. they will receive equal amount on attaining the age of 26 years. Find Mohan&#x27;s share.</p>","rationale_html":"<p>Let, the amount Mohan and Sohan receive be Rs. m and Rs. n, respectively. The amount that they receive 3 years and 2 years after should be equal.</p><p>⇒m(1+4/100)3=n(1+4/100)2</p><p>⇒m(1+4/100)=n</p><p>⇒m(26/25)=n</p><p>⇒m/n=25/26</p><p>Therefore, Rs.5100 must be distribued in the ratio 25 : 26</p><p>So Mohan&#x27;s share = 5100×25/(25+26)=2500</p><p>Answer B</p>","correct_answer":["B"],"equiv_key":"18678331aecdde4dc5747c93","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>2400</p>","ord":0},{"label":"B","content_html":"<p>2500</p>","ord":1},{"label":"C","content_html":"<p>2600</p>","ord":2},{"label":"D","content_html":"<p>2700</p>","ord":3},{"label":"E","content_html":"<p>None of these</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}