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The MFN, i.e. the Most-Favored Nation status or treatment, is a commonly used system in international economic and trade relationships. Under this system, preferential benefits, conveniences, privileges, etc. are reciprocally granted among countries/regions in the field of import/export trade, taxation, navigation, etc.
China applies the preferential MFN tariffs to most of other countries/regions.
According to the WTO Agreements, any WTO member state generally may not discriminate among its WTO trading partners. Any preference to one of its WTO partners, such as lower tariffs, shall also be granted to other WTO members. So, if your country/region is a WTO member, you can certainly enjoy China's preferential MFN tariffs.

According to Harmonized System rules, the first 6 digits of any HS Code are made consistent worldwide. Based on the first 6 digits, various States can add more digits to HS Codes in line with their own trade conditions so as to classify commodities in more detail.
Your HS Code may be different from that of China, but, considering the consistent first 6 digits, you can try to search with them and determine the corresponding China's 8/10-digit HS Code by referring to commodity descriptions.

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Our inquiry tool "HS Classification" can help you quickly find commodity classification and relevant tariff info, offering you with helpful HS Code info easily, quickly and accurately. However, in practice, please resort to local customs regulations.

If covered by a preferential agreement framework, you will see the "(Preferential)" sign behind "Duties and Taxes" so that you can look up whether your country/region is covered by any preferential tariffs.
Please note that, to enjoy preferential tariffs, you are required to beforehand go through Certificate-of-Origin and other formalities for preferences to relevant countries/regions.

The Supervision Condition refers to all required documents/certificates you need to submit to the Customs for your import/export trade. Because your import/export goods may be subject to various regulatory measures of China, you have to go through various formalities for licenses or permits of your imports/exports.
So, the Supervision Condition is designed to show you all required documents/certificates, relevant authorities in charge, and instructions on Customs supervision.