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 (
    1944, 1942, 1900, 1777, 1748, 1679, 1702, 
    1610, 1706, 1683, 1946, 1524
  ) 
  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 0.00090

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": 18,
      "filtered": 2.448978901,
      "index_condition": "cscart_product_prices.product_id in (1944,1942,1900,1777,1748,1679,1702,1610,1706,1683,1946,1524)",
      "attached_condition": "cscart_product_prices.lower_limit = 1 and cscart_product_prices.usergroup_id in (0,1)"
    }
  }
}

Result

product_id price
1524 36000.00000000
1610 48000.00000000
1679 68000.00000000
1683 40000.00000000
1702 48000.00000000
1706 0.00000000
1748 0.00000000
1777 60000.00000000
1900 30000.00000000
1942 30000.00000000
1944 30000.00000000
1946 23500.00000000