SELECT 
  cscart_product_prices.product_id, 
  MIN(
    IF(
      cscart_product_prices.percentage_discount = 0, 
      cscart_product_prices.price, 
      cscart_product_prices.price - (
        cscart_product_prices.price * cscart_product_prices.percentage_discount
      )/ 100
    )
  ) AS price 
FROM 
  cscart_product_prices 
WHERE 
  cscart_product_prices.product_id IN (
    12656, 12645, 12651, 12597, 12615, 12603, 
    12629, 12604, 9776, 9777, 9781, 9775, 
    9778, 9779, 9780, 9782, 9790, 9787, 
    9791, 9792
  ) 
  AND cscart_product_prices.lower_limit = 1 
  AND cscart_product_prices.usergroup_id IN (0, 1) 
GROUP BY 
  cscart_product_prices.product_id

Query time 0.00050

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_product_prices",
      "access_type": "range",
      "possible_keys": ["usergroup", "product_id", "lower_limit", "usergroup_id"],
      "key": "product_id",
      "key_length": "3",
      "used_key_parts": ["product_id"],
      "rows": 20,
      "filtered": 99.23484039,
      "index_condition": "cscart_product_prices.product_id in (12656,12645,12651,12597,12615,12603,12629,12604,9776,9777,9781,9775,9778,9779,9780,9782,9790,9787,9791,9792)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
9775 1292.58000000
9776 1292.58000000
9777 1292.58000000
9778 1292.58000000
9779 1292.58000000
9780 1292.58000000
9781 1292.58000000
9782 1292.58000000
9787 1292.58000000
9790 1292.58000000
9791 1292.58000000
9792 1292.58000000
12597 46725.90000000
12603 14092.68000000
12604 4597.28000000
12615 15852.84000000
12629 21943.06000000
12645 19593.76000000
12651 33378.35000000
12656 70782.80000000