Income Tax on Profit from Shares?

My father had invested around 3 lakhs in the shares of a Private Limited Nursing Home in 1990. The present cost of the shares is around 30 lakhs. After the death of my father, the shares were transferred in the name of my mother. If the shares are now sold, will my mother have to pay any income tax on the profit? If yes, what are the possible ways to evade it?