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 (
    1960, 1961, 1962, 1963, 1964, 1965, 1966, 
    1967, 1968, 1969, 1970, 1971, 1972, 
    1973, 1974, 1975, 1976, 1977, 1978, 
    1979, 1980, 1981, 1982, 1983, 1984, 
    4253, 4254, 4255, 4256, 4257, 4258, 
    4259, 4260, 4261, 5614, 5615, 5616, 
    5617, 5618, 5619, 5620, 5621, 5622, 
    5623, 5624, 5625, 5626, 5627
  ) 
  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 0.00030

JSON explain

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