Scenario 1:
I received 10 different payments of 0.01 BTC to the same bitcoin address.
Scenario 2:
I received 10 different payments of 0.01 BTC to 10 different bitcoin addresses.
Now I have 0.1 BTC in my wallet that I want to send to someone. Which of the above scenarios will result in lower fees when sending that 0.1 BTC to someone else?
Both scenarios have the same fee. Either way you are spending 10 payments.
If you wish to reduce fees, look into using SegWit addresses to receive your funds. It is cheaper to spend out of SeqWit addresses.