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 (
    710, 706, 1760, 1844, 1689, 1754, 1755, 
    1840, 1756, 1753, 1792, 1791, 1793, 
    1789, 1472, 1716, 1714, 1715, 1720, 
    1719, 1722, 1713, 1718, 1717
  ) 
  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 0.00111

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": 24,
      "filtered": 4.897957802,
      "index_condition": "cscart_product_prices.product_id in (710,706,1760,1844,1689,1754,1755,1840,1756,1753,1792,1791,1793,1789,1472,1716,1714,1715,1720,1719,1722,1713,1718,1717)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
706 105000.00000000
710 110000.00000000
1472 145000.00000000
1689 106000.00000000
1713 0.00000000
1714 36000.00000000
1715 37000.00000000
1716 36000.00000000
1717 36000.00000000
1718 37000.00000000
1719 36000.00000000
1720 36000.00000000
1722 0.00000000
1753 110000.00000000
1754 113000.00000000
1755 113000.00000000
1756 113000.00000000
1760 110000.00000000
1789 5500.00000000
1791 5500.00000000
1792 10000.00000000
1793 5500.00000000
1840 110000.00000000
1844 110000.00000000