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 (
    1097, 1268, 1284, 1296, 1326, 1338, 1345, 
    1366, 1379, 1381, 1402, 1405
  ) 
  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 0.00111

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": 1.594684362,
      "index_condition": "cscart_product_prices.product_id in (1097,1268,1284,1296,1326,1338,1345,1366,1379,1381,1402,1405)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
1097 0.6600000000000000
1268 0.4200000000000000
1284 0.4200000000000000
1296 26.0000000000000000
1326 0.6100000000000000
1338 0.6100000000000000
1345 0.6100000000000000
1366 89.0000000000000000
1379 0.5900000000000000
1381 0.5900000000000000
1402 0.5900000000000000
1405 0.5900000000000000