Q.1: A fruit seller had some apples. He sells 40% apples and still has 420 apples. What is the total number of apples he had originally?

A fruit seller sold some apples and oranges. He sold 3/7 of the apples in the morning and 3/8 of the remainder in the afternoon. He sold 1/3 of the oranges in the morning and 1/4 of the remainder in the afternoon. He had sole sold the same number of apples and oranges at the end of the day. If there were 8 more oranges than apples left unsold, how many fruits were there at first?

Alvin has many apples. He gives 1/3 of his apples plus 2/3 of an apple to Bob. 

He then gives 1/4 of his remaining apples plus half an apple to Chris. 

Afterward, he gives half of his remaining apples to David. 

Lastly, he gives half of his remaining apples plus half an apple to Ed. 

In the end, Alvin has 5 apples left. How many apples does Alvin have initially?