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 (
    1612, 1267, 1400, 1652, 1309, 1673, 1653, 
    1668, 1634, 1688, 1499, 1613, 1648, 
    1723, 1590, 1510, 1950, 1951, 1924, 
    1949, 1745, 1654, 1501, 69, 89, 1643, 
    1645, 1925, 1666, 1664, 1557, 1695, 
    1559, 1315, 1310, 1471, 1502, 86, 1504, 
    33, 1944, 1942, 1900, 1433, 1777, 1748, 
    1679, 1702
  ) 
  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 0.00072

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "message": "Impossible WHERE noticed after reading const tables"
    }
  }
}