[{"data":1,"prerenderedAt":150},["ShallowReactive",2],{"\u002Fpublic\u002Ftopics\u002Frazonamiento-matematico\u002Ffracciones-y-porcentajes?{}":3,"topics-with-content:razonamiento-matematico":108},{"course":4,"topic":12,"counts":17,"universities":22,"channels":36,"sampleQuestions":66,"sameName":107},{"id":5,"slug":6,"name":7,"shortName":8,"area":9,"icon":10,"sortOrder":11},17,"razonamiento-matematico","Razonamiento Matemático","R. Mat.","reasoning","i-lucide-puzzle",16,{"id":13,"courseId":5,"slug":14,"name":15,"sortOrder":16},1719,"fracciones-y-porcentajes","Fracciones y porcentajes",18,{"topicId":13,"courseId":5,"questions":18,"classes":19,"videos":20,"minutes":21},15,49,38,309,[23,32],{"universityId":24,"questions":25,"years":26},2,11,[27,28,29,30,31],2026,2025,2024,2023,2022,{"universityId":33,"questions":34,"years":35},1,4,[30,31],[37,40,43,46,49,51,54,56,58,60,62,64],{"name":38,"classes":39},"META VILLARREAL",9,{"name":41,"classes":42},"Academias Aduni y César Vallejo",8,{"name":44,"classes":45},"Academia Grupo Ciencias",7,{"name":47,"classes":48},"Academia ipluton",6,{"name":50,"classes":34},"Academia Internet",{"name":52,"classes":53},"Ciclo Uni-San Marcos",3,{"name":55,"classes":53},"Pamer Corporación Educativa",{"name":57,"classes":53},"Saco Oliveros",{"name":59,"classes":24},"Alberto Cruz",{"name":61,"classes":24},"Trilce Multimedia",{"name":63,"classes":33},"Academia_Pitagoras",{"name":65,"classes":33},"CEPRE UNMSM",[67,92],{"id":68,"courseId":5,"topicId":13,"pastExamId":69,"stem":70,"options":71,"correctKey":82,"explanation":87,"difficulty":53,"status":88,"source":89,"stats":90},1488,196,"Un comerciante, al vender un artículo, realizó un descuento de 12,5 % sobre el precio fijado. El artículo le costó 210 soles y al venderlo con dicho descuento obtuvo una ganancia del 20 %. Determine el precio fijado en soles de dicho artículo.",[72,75,78,81,84],{"key":73,"text":74},"A","274",{"key":76,"text":77},"B","278",{"key":79,"text":80},"C","280",{"key":82,"text":83},"D","288",{"key":85,"text":86},"E","311","","published","UNI 2026-1 · Aptitud Académica y Humanidades",{"attempts":91,"accuracy":91},0,{"id":93,"courseId":5,"topicId":13,"pastExamId":69,"stem":94,"options":95,"correctKey":85,"explanation":87,"difficulty":24,"status":88,"source":89,"stats":106},1495,"La siguiente información representa la composición de una dieta alimenticia:\n$$\\begin{array}{|c|c|c|}\\hline & \\textbf{Cantidad(g)} & \\textbf{N.}^{\\circ}\\ \\textbf{calorías} \\\\ \\hline \\text{Carbohidratos} & 450 & 1845 \\\\ \\hline \\text{Proteínas} & 120 & 492 \\\\ \\hline \\text{Grasas} & 100 & 930 \\\\ \\hline\\end{array}$$\n¿Qué cantidad aproximada de carbohidratos es necesaria, para tener el mismo número de calorías que 1000 gramos de grasa?",[96,98,100,102,104],{"key":73,"text":97},"2136",{"key":76,"text":99},"2198",{"key":79,"text":101},"2232",{"key":82,"text":103},"2248",{"key":85,"text":105},"2268",{"attempts":91,"accuracy":91},[],[109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,13,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149],1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1791501535503]