Tim wants to complete a jigsaw puzzle. On the first day, he manages to fit $20 \%$ of the pieces of the puzzle. On the second day, he fits another $60$ pieces of the puzzle. As a result, the ratio of the number of fitted pieces to the number of unfitted pieces becomes $2:5$. How many pieces does the jigsaw puzzle consist of? 
Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation