The question asks about the authority that has the power to decide the date of an election to a State Legislative Assembly. The correct answer is option 3, the Election Commission of India.

Option 1, the President of India, is not responsible for deciding the date of state assembly elections. The President`s role is more focused on the appointment of the Governor and other constitutional functions.

Option 2, the Chief Minister and his/her Cabinet, also do not have the authority to decide the date of state assembly elections. They may have some influence in suggesting a suitable time, but the final decision rests with the Election Commission.

Option 4, the Parliament, also does not have the authority to decide the date of state assembly elections. The Parliament`s role is primarily at the national level and does not extend to individual state assembly elections.

Therefore, the correct answer is option 3, the Election Commission of India, which is responsible for conducting free and fair elections in the country and has the power to decide the date of state assembly elections.