It, however, dismissed Mistry's other petition on maintainability saying the firms do not have more than 10 per cent in Tata Sons.
The appellate tribunal has granted waiver in the filing criteria of having 10 per cent shares of the company.
It has directed the Mumbai bench of the National Company Law Tribunal to issue notice to the respondents and proceed in the matter.
A bench headed by Chairperson Justice SJ Mukhopadhaya asked NCLT to dispose off the matter in three months. The tribunal had concluded its hearing on July 24 and reserved its judgement.
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The appellate tribunal had heard both pleas together.
Earlier, on April 17, the Mumbai bench of the National Company Law Tribunal (NCLT) had rejected the waiver plea filed by the investment firms while on March 6, it had set aside the one over maintainability.
Following that, both the investment firms had moved the appellate tribunal.
The Companies Act mandates that a petitioner should hold at least one-tenth of the issued share capital of a company or represent 10 per cent of the total number of members to file cases alleging mismanagement and oppression of minority shareholders.