There are a couple minor things that you may want to change. Switch "live" to "on", switch "next" to "nextAll", change "img[class="qtyImgDD"]" to img.qtyImgDD.
$("#chkSell").on('change',function(){
var posType = $(this).parent().nextAll('.QtyType').find('img.qtyImgDD').attr('posType');
});
Next
is only the immediate sibling, where as nextAll
is all following siblings.
Also, the markup you have doesn't have the elements you're targeting as direct siblings. So you'll need to traverse through their parents.
Ref: