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 (
    1714, 1721, 1812, 1860, 2317, 2351, 779, 
    782, 784, 862, 868, 1574
  ) 
  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 0.00090

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": 12,
      "filtered": 1.60857904,
      "index_condition": "cscart_product_prices.product_id in (1714,1721,1812,1860,2317,2351,779,782,784,862,868,1574)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
779 0.2100000000000000
782 0.2100000000000000
784 0.2100000000000000
862 0.2100000000000000
868 0.2100000000000000
1574 0.9900000000000000
1714 0.9900000000000000
1721 0.9900000000000000
1812 0.9900000000000000
1860 0.9900000000000000
2317 37.4500000000000000
2351 37.4500000000000000