From a number of apples a man sells half number existing apples plus 1 to first customer, sells 1/3rd of the remaining apples plus 1 to second customer and 1/5th of the remaining apples plus 1 to third customer. He finds that he has 3 apples remaining. How many apples he originally had

20 apples

Step-by-step explanation:

Let the number of apples = x

First customer:

Sold apples =  (1/2) of x + 1

Remaining apples

Second customer:

Sold apples = (1/3) of remaining apples + 1

Remaining apples =

Third customer:

Sold apples = (1/5) of reaming apples +1

Remaining apples =

Remaining apples with the man = 3

x = 20

He had 20 apples