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 (
    1446, 2276, 1754, 1755, 529, 2051, 595, 
    594, 2593, 662, 876, 877, 880, 881, 882, 
    883, 949, 2882, 346, 952
  ) 
  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 0.00092

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "14.46"
    },
    "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": 21,
        "rows_produced_per_join": 4,
        "filtered": "19.88",
        "index_condition": "(`zdrowy_db`.`cscart_product_prices`.`product_id` in (1446,2276,1754,1755,529,2051,595,594,2593,662,876,877,880,881,882,883,949,2882,346,952))",
        "cost_info": {
          "read_cost": "14.04",
          "eval_cost": "0.42",
          "prefix_cost": "14.46",
          "data_read_per_join": "100"
        },
        "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
346 68.00000000
529 30.00000000
594 64.00000000
595 68.00000000
662 35.00000000
876 8.50000000
877 8.50000000
880 8.00000000
881 8.00000000
882 8.00000000
883 8.00000000
949 101.00000000
952 308.00000000
1446 835.00000000
1754 40.00000000
1755 42.00000000
2051 19.00000000
2276 15.00000000
2593 71.00000000
2882 1000.00000000