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 (
    390097, 390098, 390104, 390105, 388372, 
    396086, 391752, 390099, 388374, 388696, 
    389454, 388448, 388695, 389455, 388673, 
    389457, 388676, 388406, 389554, 388694
  ) 
  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 0.00102

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "56.07"
    },
    "grouping_operation": {
      "using_filesort": false,
      "table": {
        "table_name": "cscart_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": 40,
        "rows_produced_per_join": 40,
        "filtered": "100.00",
        "cost_info": {
          "read_cost": "48.07",
          "eval_cost": "8.00",
          "prefix_cost": "56.07",
          "data_read_per_join": "2K"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`webmarco`.`cscart_product_prices`.`lower_limit` = 1) and (`webmarco`.`cscart_product_prices`.`product_id` in (390097,390098,390104,390105,388372,396086,391752,390099,388374,388696,389454,388448,388695,389455,388673,389457,388676,388406,389554,388694)) and (`webmarco`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
388372 275.00000000
388374 319.00000000
388406 561.00000000
388448 387.20000000
388673 465.02000000
388676 544.50000000
388694 695.75000000
388695 695.75000000
388696 695.75000000
389454 242.00000000
389455 253.00000000
389457 242.00000000
389554 176.00000000
390097 192.50000000
390098 275.00000000
390099 297.00000000
390104 319.00000000
390105 605.00000000
391752 572.00000000
396086 291.50000000