{"status": "success", "data": {"description_md": "Eric starts working in January and is paid by an amount proportional to the total time he works, and the paycheck comes in at the end of every $4$ months before he starts working the next $4$ months. Every following January, he receives a $12.5\\%$ raise, but every four months he works for $\\frac{2}{3}$ times as long as the previous four months. If Eric earns a total of \\$$18,000$ during his first four months, how much money will he earn (in dollars) if he continues this trend of working for an indefinite period of time? Assume that Eric transcends physical laws and can work for an infinitesimally short amount of time, and can be paid an infinitesimally small amount of money.  ", "description_html": "<p>Eric starts working in January and is paid by an amount proportional to the total time he works, and the paycheck comes in at the end of every <span class=\"katex--inline\">4</span> months before he starts working the next <span class=\"katex--inline\">4</span> months. Every following January, he receives a <span class=\"katex--inline\">12.5\\%</span> raise, but every four months he works for <span class=\"katex--inline\">\\frac{2}{3}</span> times as long as the previous four months. If Eric earns a total of $<span class=\"katex--inline\">18,000</span> during his first four months, how much money will he earn (in dollars) if he continues this trend of working for an indefinite period of time? Assume that Eric transcends physical laws and can work for an infinitesimally short amount of time, and can be paid an infinitesimally small amount of money.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Holiday Contest 2025 - Guts Round - Set 3 Problem 1", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}