$29$ years old. Charly plans to invest $$6,000$ per year at the end of each year while Charlotte decides to invest only $$3,000$ per year at the end of each year. Charly and Charlotte would like to retire when they are $60$ years old and do not withdraw funds prior to retirement. If Charlotte can earn an interest at a rate of $6\%$ per year, what annual interest rate must Charly earn to have the same amount of money when she is $60?($round your answer to the nearest percentage$).$

$2\%$

$3\%$

$6\%$

$7\%$

None of these are correct