PowerQuery - Remove Duplicated lines based on criteria

ngct1112  try this

CT = Table.TransformColumnTypes(#"Promoted Headers", {{"ID", Int64.Type}, {"Price", Int64.Type}}), 
  #"Filtered Rows" = Table.SelectRows(
    CT, 
    each ([Price] = List.Min(Table.SelectRows(CT, (q) => q[ID] = [ID])[Price]))
  )

Easier way, add sorted rows, buffer and remove duplicate step 

let
    Source = Table.FromRows(Json.Document(Binary.Decompress(Binary.FromText("i45WclTSUTI0UIrVgTDNwSwnIMsSzjI0UoqNBQA=", BinaryEncoding.Base64), Compression.Deflate)), let _t = ((type nullable text) meta [Serialized.Text = true]) in type table [Column1 = _t, Column2 = _t]),
    #"Changed Type" = Table.TransformColumnTypes(Source,{{"Column1", type text}, {"Column2", Int64.Type}}),
    #"Sorted Rows" = Table.Sort(#"Changed Type",{{"Column2", Order.Ascending}}),
    #"Buffered" = Table.Buffer(#"Sorted Rows"),
    #"Removed Duplicates" = Table.Distinct(Buffered, {"Column1"})
in
    #"Removed Duplicates"