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 (
    12838, 12853, 12854, 12855, 12856, 12857, 
    12858, 12859, 12860, 12861, 12862, 
    12863, 12864, 12865, 12866, 12867, 
    12873, 12872, 12875, 12871
  ) 
  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 0.00489

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_product_prices",
      "access_type": "range",
      "possible_keys": ["usergroup", "product_id", "lower_limit", "usergroup_id"],
      "key": "product_id",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 20,
      "filtered": 99.94493103,
      "index_condition": "cscart_product_prices.product_id in (12838,12853,12854,12855,12856,12857,12858,12859,12860,12861,12862,12863,12864,12865,12866,12867,12873,12872,12875,12871)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
12838 1800.00000000
12853 1317.94000000
12854 1317.94000000
12855 1317.94000000
12856 1317.94000000
12857 720.00000000
12858 720.00000000
12859 720.00000000
12860 1200.00000000
12861 1200.00000000
12862 1200.00000000
12863 1200.00000000
12864 1200.00000000
12865 1200.00000000
12866 1200.00000000
12867 1200.00000000
12871 480.00000000
12872 480.00000000
12873 480.00000000
12875 480.00000000