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 (
    1728, 1607, 1608, 1606, 1703, 1578, 1396, 
    1605, 1206, 1586, 1934, 1932
  ) 
  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": 16,
      "filtered": 2.448978901,
      "index_condition": "cscart_product_prices.product_id in (1728,1607,1608,1606,1703,1578,1396,1605,1206,1586,1934,1932)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
1206 34000.00000000
1396 160000.00000000
1578 38000.00000000
1586 11000.00000000
1605 26000.00000000
1606 22000.00000000
1607 22000.00000000
1608 22000.00000000
1703 76000.00000000
1728 28000.00000000
1932 23000.00000000
1934 23000.00000000