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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 (
    1735, 1602, 1601, 1692, 1696, 1682, 1743, 
    1045, 1046, 1187, 1556, 1555, 1435, 
    1554, 1577, 1194, 1766, 368, 1253, 1553, 
    1371, 1372, 1373, 1374, 1219, 1220, 
    1440, 1441, 1681, 1680, 1800, 1902, 
    1804, 1803, 1221, 1224, 1762, 408, 39, 
    1798, 1797, 1445
  ) 
  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 0.00054

JSON explain

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