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 (
    1172, 1173, 1175, 1176, 1728, 1404, 1178, 
    1179, 1180, 1706
  ) 
  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 0.00076

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "7.46"
    },
    "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": 11,
        "rows_produced_per_join": 2,
        "filtered": "19.88",
        "index_condition": "(`zdrowy_db`.`cscart_product_prices`.`product_id` in (1172,1173,1175,1176,1728,1404,1178,1179,1180,1706))",
        "cost_info": {
          "read_cost": "7.24",
          "eval_cost": "0.22",
          "prefix_cost": "7.46",
          "data_read_per_join": "52"
        },
        "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
1172 90.00000000
1173 80.00000000
1175 76.00000000
1176 76.00000000
1178 100.00000000
1179 95.00000000
1180 120.00000000
1404 92.00000000
1706 185.00000000
1728 80.00000000