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 (
    10772, 10773, 10774, 10775, 10776, 10777, 
    9689, 10459, 10460, 10461, 10462, 10463, 
    10464, 10465, 10625, 10626, 10627, 
    10628, 10629, 10630
  ) 
  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 0.00052

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 (10772,10773,10774,10775,10776,10777,9689,10459,10460,10461,10462,10463,10464,10465,10625,10626,10627,10628,10629,10630)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
9689 4000.00000000
10459 1708.80000000
10460 1708.80000000
10461 1708.80000000
10462 1708.80000000
10463 1708.80000000
10464 1708.80000000
10465 1708.80000000
10625 1582.30000000
10626 1582.30000000
10627 1582.30000000
10628 1582.30000000
10629 1582.30000000
10630 1582.30000000
10772 5972.60000000
10773 5972.60000000
10774 5972.60000000
10775 5972.60000000
10776 5972.60000000
10777 5972.60000000