SELECT 
  product_prices.product_id, 
  MIN(
    IF(
      product_prices.percentage_discount = 0, 
      product_prices.price, 
      product_prices.price - (
        product_prices.price * product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  product_prices 
WHERE 
  product_prices.product_id IN (
    171358, 877, 44191, 77528, 134098, 67, 
    14703, 763, 5522
  ) 
  AND product_prices.lower_limit = 1 
  AND product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  product_prices.product_id

Query time 0.00237

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "14.13"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "product_prices",
        "access_type": "range",
        "possible_keys": [
          "usergroup",
          "product_id",
          "lower_limit",
          "usergroup_id"
        ],
        "key": "usergroup",
        "used_key_parts": [
          "product_id",
          "usergroup_id",
          "lower_limit"
        ],
        "key_length": "9",
        "rows_examined_per_scan": 18,
        "rows_produced_per_join": 18,
        "filtered": "100.00",
        "index_condition": "((`goimagine`.`product_prices`.`lower_limit` = 1) and (`goimagine`.`product_prices`.`product_id` in (171358,877,44191,77528,134098,67,14703,763,5522)) and (`goimagine`.`product_prices`.`usergroup_id` in (0,1)))",
        "cost_info": {
          "read_cost": "12.33",
          "eval_cost": "1.80",
          "prefix_cost": "14.13",
          "data_read_per_join": "432"
        },
        "used_columns": [
          "id",
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ]
      }
    }
  }
}

Result

product_id price
67 4.99000000
763 9.99000000
877 12.00000000
5522 5.99000000
14703 5.99000000
44191 11.99000000
77528 14.00000000
134098 6.00000000
171358 2.50000000