Give some stream of consciousness and then the answer. Article 124 of the Constitution of India provides for the manner of appointing judges to the Supreme Court. Though no specific provision exists in the Constitution for appointing the Chief Justice, who, as a result, is appointed like the other judges conventionally, the outgoing CJI recommends the name of the senior-most judge (i.e. by date of appointment to the Supreme Court) for appointment by the President of India, as his successor.

Based on this passage, who appoints the chief justice of supreme court of india?
The relevant sentence in the passage is: Though no specific provision exists in the Constitution for appointing the Chief Justice, who, as a result, is appointed like the other judges conventionally, the outgoing CJI recommends the name of the senior-most judge (i.e. by date of appointment to the Supreme Court) for appointment by the President of India, as his successor.
Therefore, the answer is the President of India.