SELECT 
  cscart_product_prices.product_id, 
  MIN(
    IF(
      cscart_product_prices.percentage_discount = 0, 
      cscart_product_prices.price, 
      cscart_product_prices.price - (
        cscart_product_prices.price * cscart_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  cscart_product_prices 
WHERE 
  cscart_product_prices.product_id IN (
    2668, 2277, 2366, 402, 2481, 406, 2692, 
    401, 2135, 2890, 2872, 2740, 412, 414, 
    2038, 418, 420, 2192, 2444
  ) 
  AND cscart_product_prices.lower_limit = 1 
  AND cscart_product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  cscart_product_prices.product_id

Query time 0.00108

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "13.76"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "cscart_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": 20,
        "rows_produced_per_join": 3,
        "filtered": "19.88",
        "index_condition": "(`zdrowy_db`.`cscart_product_prices`.`product_id` in (2668,2277,2366,402,2481,406,2692,401,2135,2890,2872,2740,412,414,2038,418,420,2192,2444))",
        "cost_info": {
          "read_cost": "13.36",
          "eval_cost": "0.40",
          "prefix_cost": "13.76",
          "data_read_per_join": "95"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`zdrowy_db`.`cscart_product_prices`.`lower_limit` = 1) and (`zdrowy_db`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
401 2365.00000000
402 1650.00000000
406 1950.00000000
412 4750.00000000
414 6200.00000000
418 5500.00000000
420 4350.00000000
2038 4650.00000000
2135 2355.00000000
2192 3900.00000000
2277 1085.00000000
2366 1950.00000000
2444 1150.00000000
2481 2100.00000000
2668 950.00000000
2692 1950.00000000
2740 4450.00000000
2872 7440.00000000
2890 1950.00000000