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 (
    12676, 12677, 12678, 12679, 9687, 10024, 
    10025, 10026, 10027, 10028, 10029, 
    10030, 10031, 10032, 10033, 10034, 
    10035, 10036, 10037, 10038
  ) 
  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 0.00042

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 (12676,12677,12678,12679,9687,10024,10025,10026,10027,10028,10029,10030,10031,10032,10033,10034,10035,10036,10037,10038)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
9687 4000.00000000
10024 1716.01000000
10025 1716.01000000
10026 1716.01000000
10027 1716.01000000
10028 1716.01000000
10029 1716.01000000
10030 1716.01000000
10031 1716.01000000
10032 1716.01000000
10033 1716.01000000
10034 1716.01000000
10035 1716.01000000
10036 1716.01000000
10037 1716.01000000
10038 1716.01000000
12676 921.36000000
12677 921.36000000
12678 921.36000000
12679 921.36000000