{"id":"aqua_rat:9c96211900b3f42809d6e111069119d6","source_id":"aqua_rat","source_item_id":"9c96211900b3f42809d6e111069119d6","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 loan was repaid in two annual instalments of Rs.112 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was :","stimulus":"","stimulus_html":null,"stem_html":"<p>A loan was repaid in two annual instalments of Rs.112 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was :</p>","rationale_html":"<p>Principal = (Present value of Rs.121 due 1 year hence ) + (Present value of Rs.121 due 2 years hence )</p><p>= Rs. 121/(1+10/100)+121/(1+10/100)2 =Rs.210</p><p>Correct Option: B</p>","correct_answer":["B"],"equiv_key":"7512d23eb2728e39b9806932","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>Rs.200</p>","ord":0},{"label":"B","content_html":"<p>Rs.210</p>","ord":1},{"label":"C","content_html":"<p>Rs.217.80</p>","ord":2},{"label":"D","content_html":"<p>Rs.280</p>","ord":3},{"label":"E","content_html":"<p>None</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":[]}