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 (
    56, 82, 116, 117, 125, 106, 39, 193, 40, 
    22710, 22711, 17, 57, 122, 58, 5
  ) 
  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 0.00058

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "16.16"
    },
    "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": 27,
        "rows_produced_per_join": 5,
        "filtered": "19.96",
        "index_condition": "(`test_uchur_k`.`cscart_product_prices`.`product_id` in (56,82,116,117,125,106,39,193,40,22710,22711,17,57,122,58,5))",
        "cost_info": {
          "read_cost": "15.62",
          "eval_cost": "0.54",
          "prefix_cost": "16.16",
          "data_read_per_join": "129"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`test_uchur_k`.`cscart_product_prices`.`lower_limit` = 1) and (`test_uchur_k`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
5 15400.00000000
17 16100.00000000
39 95200.00000000
40 109900.00000000
56 14000.00000000
57 10500.00000000
58 10500.00000000
82 14000.00000000
106 40600.00000000
116 15400.00000000
117 15400.00000000
122 15400.00000000
125 27300.00000000
193 146300.00000000
22710 9100.00000000
22711 18200.00000000