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 (
    10676, 10677, 10678, 10679, 10680, 10681, 
    10682, 10683, 10684, 10685, 10686, 
    10725, 10724, 10701, 10699, 10698, 
    10696, 10695, 10693, 10692
  ) 
  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 0.00047

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": 20,
      "filtered": 99.23484039,
      "index_condition": "cscart_product_prices.product_id in (10676,10677,10678,10679,10680,10681,10682,10683,10684,10685,10686,10725,10724,10701,10699,10698,10696,10695,10693,10692)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
10676 1136.58000000
10677 1136.58000000
10678 1136.58000000
10679 1136.58000000
10680 1136.58000000
10681 1136.58000000
10682 1136.58000000
10683 1136.58000000
10684 1136.58000000
10685 1136.58000000
10686 1136.58000000
10692 2671.00000000
10693 2089.00000000
10695 1848.00000000
10696 1840.00000000
10698 1635.00000000
10699 1551.00000000
10701 1840.00000000
10724 2206.30000000
10725 2206.30000000