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 (
    5568, 5569, 5570, 5571, 5572, 5573, 5574, 
    5575, 5576, 5577, 5578, 5579, 5580, 
    5581, 5582, 5583, 5584, 5585, 5586, 
    5587, 5588, 5589, 5590, 5591
  ) 
  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 0.00073

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "16.81"
    },
    "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": 24,
        "rows_produced_per_join": 4,
        "filtered": "20.00",
        "index_condition": "(`gaseus`.`cscart_product_prices`.`product_id` in (5568,5569,5570,5571,5572,5573,5574,5575,5576,5577,5578,5579,5580,5581,5582,5583,5584,5585,5586,5587,5588,5589,5590,5591))",
        "cost_info": {
          "read_cost": "16.33",
          "eval_cost": "0.48",
          "prefix_cost": "16.81",
          "data_read_per_join": "115"
        },
        "used_columns": [
          "product_id",
          "price",
          "percentage_discount",
          "lower_limit",
          "usergroup_id"
        ],
        "attached_condition": "((`gaseus`.`cscart_product_prices`.`lower_limit` = 1) and (`gaseus`.`cscart_product_prices`.`usergroup_id` in (0,1)))"
      }
    }
  }
}

Result

product_id price
5568 0.00000000
5569 0.00000000
5570 0.00000000
5571 0.00000000
5572 0.00000000
5573 0.00000000
5574 0.00000000
5575 0.00000000
5576 0.00000000
5577 0.00000000
5578 0.00000000
5579 0.00000000
5580 0.00000000
5581 0.00000000
5582 0.00000000
5583 0.00000000
5584 0.00000000
5585 0.00000000
5586 0.00000000
5587 0.00000000
5588 0.00000000
5589 0.00000000
5590 0.00000000
5591 0.00000000