"He Earned doing chore" is to far away from "money" . Which modifies the statement to know that shoe box is only meant for saving money earned from chores.
So therefore the right statement is
Jeremy began saving all the money he earned doing chores in a shoe box.
The author’s purpose in this excerpt is the to convey the emotions experienced at reaching the top as it decribes the best authors purpose and views so i conclude option A is correct hope it helps
