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 (
    89, 1643, 1645, 1925, 1666, 1664, 1557, 
    1695, 1559, 1315, 1310, 1471
  ) 
  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 0.00098

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": 14,
      "filtered": 2.448978901,
      "index_condition": "cscart_product_prices.product_id in (89,1643,1645,1925,1666,1664,1557,1695,1559,1315,1310,1471)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
89 34000.00000000
1310 204000.00000000
1315 210000.00000000
1471 78000.00000000
1557 68000.00000000
1559 178000.00000000
1643 40000.00000000
1645 40000.00000000
1664 45000.00000000
1666 80000.00000000
1695 113000.00000000
1925 28000.00000000