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 (
    708, 1177, 1195, 1208, 1178, 1849, 1846, 
    1848, 1847, 1171, 1322, 1448
  ) 
  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": 2.448978901,
      "index_condition": "cscart_product_prices.product_id in (708,1177,1195,1208,1178,1849,1846,1848,1847,1171,1322,1448)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
708 48000.00000000
1171 88000.00000000
1177 48000.00000000
1178 60000.00000000
1195 60000.00000000
1208 58000.00000000
1322 52000.00000000
1448 0.00000000
1846 62000.00000000
1847 62000.00000000
1848 63000.00000000
1849 63000.00000000