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 (
    473681, 474207, 476872, 476880, 477622, 
    479514, 342209, 350155, 356143, 358052, 
    361427, 361434
  ) 
  AND product_prices.lower_limit = 1 
  AND product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  product_prices.product_id

Query time 0.00159

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "10.00"
    },
    "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 (473681,474207,476872,476880,477622,479514,342209,350155,356143,358052,361427,361434))",
        "cost_info": {
          "read_cost": "9.89",
          "eval_cost": "0.12",
          "prefix_cost": "10.01",
          "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
342209 18.00000000
350155 15.00000000
356143 18.00000000
358052 18.00000000
361427 18.00000000
361434 18.00000000
473681 18.00000000
474207 18.00000000
476872 20.00000000
476880 15.00000000
477622 18.00000000
479514 18.00000000