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 (
    1270, 1459, 1477, 1891, 1218, 114, 1810, 
    113, 79, 653, 1465, 1494
  ) 
  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 0.00086

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 (1270,1459,1477,1891,1218,114,1810,113,79,653,1465,1494)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
79 60000.00000000
113 485000.00000000
114 380000.00000000
653 144000.00000000
1218 335000.00000000
1270 140000.00000000
1459 0.00000000
1465 38000.00000000
1477 100000.00000000
1494 120000.00000000
1810 285000.00000000
1891 97000.00000000