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 (
    447262, 447265, 447272, 447273, 447816, 
    447818, 447825, 447827, 448555, 448572, 
    448596, 448598
  ) 
  AND product_prices.lower_limit = 1 
  AND product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  product_prices.product_id

Query time 0.00090

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "9.44"
    },
    "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 (447262,447265,447272,447273,447816,447818,447825,447827,448555,448572,448596,448598))",
        "cost_info": {
          "read_cost": "9.32",
          "eval_cost": "0.12",
          "prefix_cost": "9.44",
          "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
447262 18.00000000
447265 2.45000000
447272 20.00000000
447273 15.00000000
447816 20.00000000
447818 15.00000000
447825 2.45000000
447827 2.45000000
448555 2.45000000
448572 2.45000000
448596 2.45000000
448598 3.55000000