Ramanujan is a sixth grade student. His mathematics teacher gave a problem sheet in maths as home task for the Puja holidays. Ramanujan wants to complete it in 4 days and wants to enjoy the holidays for the remaining 6 days. 

On the first day, he worked out one-fifth the number of problems plus 12 more problems. 

On the second day, he worked out one-fourth the remaining problems plus 15 more problems. 

On the third day, he solved one-third of the remaining problems plus 20 more problems. 

The fourth day, he worked out successfully the remaining 60 problems and completed the work. 

Find the total number of problems given by the teacher and the number of problems solved by Ramanujan on each day.