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 (
    1582, 2513, 656, 2895, 2896, 1117, 617, 
    1247, 1734, 699, 2687, 1814, 2688, 689, 
    686, 691, 1815, 701, 683, 700
  ) 
  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 0.00100

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "14.01"
    },
    "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 (1582,2513,656,2895,2896,1117,617,1247,1734,699,2687,1814,2688,689,686,691,1815,701,683,700))",
        "cost_info": {
          "read_cost": "13.61",
          "eval_cost": "0.40",
          "prefix_cost": "14.01",
          "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
617 1170.00000000
656 360.00000000
683 83.00000000
686 79.50000000
689 79.50000000
691 79.50000000
699 86.00000000
700 83.00000000
701 79.50000000
1117 26.00000000
1247 23.00000000
1582 70.00000000
1734 590.00000000
1814 79.50000000
1815 79.50000000
2513 210.00000000
2687 79.50000000
2688 79.50000000
2895 325.00000000
2896 325.00000000