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 (
    416128, 416129, 416144, 416148, 416155, 
    416860, 416879, 416903, 416921, 417419, 
    417430, 417438
  ) 
  AND product_prices.lower_limit = 1 
  AND product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  product_prices.product_id

Query time 0.00084

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "8.64"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "product_prices",
        "access_type": "range",
        "possible_keys": [
          "usergroup",
          "product_id",
          "lower_limit",
          "usergroup_id"
        ],
        "key": "product_id",
        "used_key_parts": [
          "product_id"
        ],
        "key_length": "3",
        "rows_examined_per_scan": 12,
        "rows_produced_per_join": 1,
        "filtered": "10.00",
        "index_condition": "(`goimagine`.`product_prices`.`product_id` in (416128,416129,416144,416148,416155,416860,416879,416903,416921,417419,417430,417438))",
        "cost_info": {
          "read_cost": "8.52",
          "eval_cost": "0.12",
          "prefix_cost": "8.64",
          "data_read_per_join": "28"
        },
        "used_columns": [
          "id",
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`goimagine`.`product_prices`.`lower_limit` = 1) and (`goimagine`.`product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
416128 2.45000000
416129 2.45000000
416144 3.55000000
416148 20.00000000
416155 18.00000000
416860 3.55000000
416879 2.45000000
416903 2.45000000
416921 6.35000000
417419 21.00000000
417430 2.45000000
417438 2.45000000