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 (
    1689, 1752, 1751, 1748, 1649, 1743, 1750, 
    1749, 1731, 1683, 1747, 1746
  ) 
  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 0.00097

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 (1689,1752,1751,1748,1649,1743,1750,1749,1731,1683,1747,1746)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
1649 18000.00000000
1683 40000.00000000
1689 106000.00000000
1731 0.00000000
1743 0.00000000
1746 82000.00000000
1747 183000.00000000
1748 0.00000000
1749 490000.00000000
1750 260000.00000000
1751 78000.00000000
1752 34000.00000000