The correct option is A simple majority.
Explanation
Article 368 of the Indian Constitution outlines the procedure for amending the Constitution. While most amendments are passed by the Parliament alone, amendments that affect the federal structure of the Constitution require ratification by the State Legislatures.Requirement for State Ratification
If a Constitutional Amendment Bill seeks to change provisions related to the federal structure (such as the election of the President, the extent of executive power of the Union and States, the Supreme Court and High Courts, the distribution of legislative powers, or Article 368 itself), it must be ratified by the legislatures of not less than one-half of the States.
Majority Required in State Legislatures
The Constitution does not prescribe a special majority for the State Legislatures to ratify such an amendment. Consequently, the resolution for ratification needs to be passed by the State Legislatures with a simple majority, which is a majority of the members of the House present and voting. This stands in contrast to the special majority required in the Parliament (a majority of the total membership of the House and a majority of not less than two-thirds of the members present and voting).
Key Takeaway:
While the Parliament requires a special majority to pass a Constitutional Amendment Bill under Article 368, the State Legislatures ratify federal amendments using only a simple majority.