It will be nature of the self acquired property after partition. Since you have inherited same in HUF there won't be any tax implication on partition of HUF.
As per section 47 of the Income Tax Act, no capital gains shall arise to the HUF on distribution of assets on partition of HUF.
As per section 49(1) of Income Tax Act, where assets are distributed on partition of HUF, then the cost of acquisition of such assets to the member shall be the cost of acquisition of such assets in the hands of HUF. Period of holding of asset in hands of HUF shall be considered in hands of member. As per section 171 of the Income Tax Act partition of HUF takes place on the date the properties are actually physically divided. There must be physical division of the properties. Physical division of income without physical division of properties does not amount to partition.