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 (
    5359, 5360, 5361, 5362, 5363, 5364, 5365, 
    5366, 5367, 5368, 5369, 5370, 5820, 
    5821, 5822, 5823
  ) 
  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 0.00069

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "11.21"
    },
    "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": 16,
        "rows_produced_per_join": 3,
        "filtered": "20.00",
        "index_condition": "(`gaseus`.`cscart_product_prices`.`product_id` in (5359,5360,5361,5362,5363,5364,5365,5366,5367,5368,5369,5370,5820,5821,5822,5823))",
        "cost_info": {
          "read_cost": "10.89",
          "eval_cost": "0.32",
          "prefix_cost": "11.21",
          "data_read_per_join": "76"
        },
        "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
5359 0.00000000
5360 0.00000000
5361 0.00000000
5362 0.00000000
5363 0.00000000
5364 0.00000000
5365 0.00000000
5366 0.00000000
5367 0.00000000
5368 0.00000000
5369 0.00000000
5370 0.00000000
5820 0.00000000
5821 0.00000000
5822 0.00000000
5823 0.00000000