If any company functional currency and presentation currency is different, non monetary assets should be translated at which exchange rate?

Actually in this company in a parent company, what should be treatment at standalone level? and how the non monetary items should be translated for the consolidation purposes?

Translations of Monetary and non monetary items are governed by the corresponding GAAPs. 

With respect to Indian GAAP & US GAAP which calls for monetary-non monetary method, All monetary items are to be translated at current exchange rate as at the date of Financial Reporting, In case of Non Monetary items are to be convered at Historical Exchange rate, i.e, the rate as on the date of transaction. Kindly let me know if this suffices, In case you are looking at Consolidation we should Factor FCTR which will then slightly change the conversion rules with respect to Integral and Non integral Foreign Operations.