A fund begins at the start of the year with a deposit of $1000. A deposit of $200 is made at time t during the year, 0 < t < 1. The fund value is $1200 just before the deposit at time t and it is $1500 at the end of the year. The time-weighted and dollar-weighted returns are the same for the year. Find the time in the year at which the deposit is made.