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 (
    1725, 1600, 1872, 1603, 1560, 1513, 1550, 
    1548, 1547, 1763, 1764, 1506
  ) 
  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 0.00084

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": 2.448978901,
      "index_condition": "cscart_product_prices.product_id in (1725,1600,1872,1603,1560,1513,1550,1548,1547,1763,1764,1506)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
1506 24500.00000000
1513 27500.00000000
1547 27500.00000000
1548 27500.00000000
1550 27500.00000000
1560 0.00000000
1600 24000.00000000
1603 52000.00000000
1725 22000.00000000
1763 24500.00000000
1764 24500.00000000
1872 0.00000000