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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 (
    6946, 6945, 3411, 3415, 3417, 6942, 3410, 
    3413, 3416, 6940, 3414, 6938, 6941, 
    6944, 3412, 6937, 6939, 6943, 3165, 
    3139, 3140, 6712, 6713, 3135, 5802, 
    6970, 6971, 6972, 6973, 6974, 6975, 
    3403, 3404, 3405, 3406, 3408, 3409, 
    6930, 6931, 6932, 6933, 6934, 6935, 
    6936, 3407, 2666, 3845, 2667
  ) 
  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 0.00028

JSON explain

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