sold 1.22 ltc/btc and get 0.008733 btc
Well the question you asked isn't related to the example you provided you simply mentioned 1.22 ltc didn't mention the btc rate in both cases maybe the price increased by a really less margin and that also remember exchanges do charge 0.2% fees which i think you forgot to count.
Any one of these should increase let's say btc is $1 and ltc $0.1 if ltc becomes $0.2 nd btc $2 the increase is same for both so it get nullified. And the less part is exchange fees.
If you still got a question let me know.