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SELECT 
  cscart_ult_product_prices.product_id, 
  MIN(
    IF(
      cscart_ult_product_prices.percentage_discount = 0, 
      cscart_ult_product_prices.price, 
      cscart_ult_product_prices.price - (
        cscart_ult_product_prices.price * cscart_ult_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  cscart_ult_product_prices 
WHERE 
  cscart_ult_product_prices.product_id IN (
    346, 412, 413, 414, 1366, 1367, 1368, 
    1369, 1370, 1371, 1372, 1373, 1374, 
    1375, 1376, 1377, 1378, 1379, 1380, 
    1381, 1382, 1383, 1384, 1385, 1386, 
    1387, 1388, 1389, 1390, 1391, 1392, 
    3612, 3613, 3614, 3615, 4224, 4225, 
    4226, 4227, 4228, 4229, 4230, 5079, 
    5080, 5081, 5082, 5083, 5084
  ) 
  AND cscart_ult_product_prices.lower_limit = 1 
  AND cscart_ult_product_prices.company_id = 1 
  AND cscart_ult_product_prices.usergroup_id IN (0, 0, 1) 
GROUP BY 
  cscart_ult_product_prices.product_id

Query time 0.00036

JSON explain

{
  "query_block": {
    "select_id": 1,
    "message": "no matching row in const table"
  }
}