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 (
    10706, 10707, 10708, 10709, 10710, 10711, 
    10712, 10721, 10737, 10738, 10739, 
    10740, 10760, 10762, 10764, 10765
  ) 
  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 0.00923

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": 16,
      "filtered": 99.99243927,
      "index_condition": "cscart_product_prices.product_id in (10706,10707,10708,10709,10710,10711,10712,10721,10737,10738,10739,10740,10760,10762,10764,10765)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
10706 17600.00000000
10707 14600.00000000
10708 5000.00000000
10709 14200.00000000
10710 6700.00000000
10711 800.00000000
10712 7500.00000000
10721 12100.00000000
10737 250300.00000000
10738 250300.00000000
10739 225600.00000000
10740 225600.00000000
10760 57300.00000000
10762 2100.00000000
10764 800.00000000
10765 800.00000000