Tarz and Diya are both $21$ years old after finishing principle of finance class, they bet who will the richest by the age of $50.$ using formulas, they have learned from the class.Tarza, said; I have not saving now but I work hard and spend less to save $$200$ a month and invest the money with investment company to earn $10\%$ compounding annually.Diya said I have $$20,000$ that I can invest it in $10\%$ compounding annually and she said I am going to enjoy my life and spend whatever money I will earn.Who will have more money at age of $50?$