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 (
    5695, 5696, 5694, 5691, 7258, 7257, 7259, 
    7260, 7261, 7256, 6714, 6713, 6715, 
    6693, 6712, 6711, 1458, 1462, 1460, 
    1461, 1459, 1463, 7733, 4242
  ) 
  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 0.00072

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "17.26"
    },
    "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": 25,
        "rows_produced_per_join": 4,
        "filtered": "19.12",
        "index_condition": "(`dbggbern`.`cscart_product_prices`.`product_id` in (5695,5696,5694,5691,7258,7257,7259,7260,7261,7256,6714,6713,6715,6693,6712,6711,1458,1462,1460,1461,1459,1463,7733,4242))",
        "cost_info": {
          "read_cost": "16.78",
          "eval_cost": "0.48",
          "prefix_cost": "17.26",
          "data_read_per_join": "114"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`dbggbern`.`cscart_product_prices`.`lower_limit` = 1) and (`dbggbern`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
1458 34.90000000
1459 39.90000000
1460 34.90000000
1461 34.90000000
1462 34.90000000
1463 34.90000000
4242 2.90000000
5691 34.90000000
5694 34.90000000
5695 34.90000000
5696 34.90000000
6693 44.90000000
6711 44.90000000
6712 44.90000000
6713 44.90000000
6714 44.90000000
6715 44.90000000
7256 39.90000000
7257 39.90000000
7258 39.90000000
7259 39.90000000
7260 39.90000000
7261 39.90000000
7733 24.90000000