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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 (
    1561, 1705, 1704, 1609, 1935, 1936, 1929, 
    1528, 1527, 1526, 1508, 1534, 1533, 
    1841, 1531, 1529, 1530, 1843, 1532, 
    1515, 1904, 1873, 1897, 1896, 1728, 
    1607, 1608, 1606, 1703, 1578, 1396, 
    1605, 1206, 1586, 1934, 1932, 1933, 
    1656, 1542, 1640, 1543, 1655, 1927, 
    1926, 1815, 1808, 1541, 1829
  ) 
  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 0.00056

JSON explain

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