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 (
    2313, 2434, 1024, 1300, 1603, 1605, 1701, 
    1704, 1706, 1712, 1733, 1765
  ) 
  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 0.00067

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": 1.609658003,
      "index_condition": "cscart_product_prices.product_id in (2313,2434,1024,1300,1603,1605,1701,1704,1706,1712,1733,1765)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
1024 0.3100000000000000
1300 34.0000000000000000
1603 0.9900000000000000
1605 0.9900000000000000
1701 0.9900000000000000
1704 0.9900000000000000
1706 0.9900000000000000
1712 0.9900000000000000
1733 0.9900000000000000
1765 0.9900000000000000
2313 37.4500000000000000
2434 37.4500000000000000