Yes, the sale qualifies as long-term capital gain (LTCG) because for inherited property, the holding period is considered from when the original owner (your mother) acquired it. If she held it for more than 24 months, it's LTCG, even though it was sold within a year of transferring to your eldest brother's name. The LTCG is applicable only to the eldest brother since he conducted the sale. When he shares the proceeds, it's a gift to you and your other sibling, not subject to capital gains tax for you two. However, specific tax advice should be sought to handle such transactions accurately.
For detailed, personalized advice, consider a phone consultancy.
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Shubham Goyal