Answer:
(C) 10.4 lb
Step-by-step explanation:
If Paul added each weight before adding, as you state, he got:
Apples   3.78 ⟶  3.8
Peaches  2.12 ⟶  2.1
Oranges  4.45 ⟶ 4.4
          Total 10.3 lb
If he did it this way, he did it incorrectly, and his answer isn't in the list of options, anyway. That's because his method introduces round-off errors.
The correct way is to add the numbers as given, and then round off at the end.
Apples   3.78
Peaches  2.12
Oranges 4.45
  Total  10.35 ⟶ 10.4 lb
Note: When you drop a 5 followed by nothing, you round off to the nearest even number.