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 (
    2403, 2413, 2434, 781, 1572, 1600, 1635, 
    1660, 1688, 1689, 1701, 1704
  ) 
  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 0.00074

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 (2403,2413,2434,781,1572,1600,1635,1660,1688,1689,1701,1704)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
781 0.2100000000000000
1572 0.9900000000000000
1600 0.9900000000000000
1635 0.9900000000000000
1660 0.9900000000000000
1688 0.9900000000000000
1689 0.9900000000000000
1701 0.9900000000000000
1704 0.9900000000000000
2403 37.4500000000000000
2413 37.4500000000000000
2434 37.4500000000000000