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 (
    347, 346, 345, 344, 343, 342, 341, 340, 
    339, 338, 335, 334
  ) 
  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 0.00033

JSON explain

{
  "query_block": {
    "select_id": 1,
    "filesort": {
      "sort_key": "cscart_product_prices.product_id",
      "temporary_table": {
        "nested_loop": [
          {
            "table": {
              "table_name": "cscart_product_prices",
              "access_type": "ALL",
              "possible_keys": [
                "usergroup",
                "product_id",
                "lower_limit",
                "usergroup_id"
              ],
              "rows": 52,
              "filtered": 21.30177498,
              "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.product_id in (347,346,345,344,343,342,341,340,339,338,335,334) and cscart_product_prices.usergroup_id in (0,1)"
            }
          }
        ]
      }
    }
  }
}

Result

product_id price
334 4.91000000
335 6.01000000
338 19.62000000
339 13.00000000
340 13.00000000
341 12.78000000
342 12.55000000
343 3.31000000
344 8.02000000
345 2.93000000
346 3.50000000
347 13.84000000