Concept:
The National Centre for the Performing Arts (NCPA) is one of India's premier cultural institutions established for the preservation, promotion, and development of performing arts. Located in Mumbai, it has played a major role in encouraging Indian music, dance, theatre, and cultural activities.
Step 1: Examine the Assertion statement.
The Assertion states:
\[
\text{``National Centre for Performing Arts is an organisation established for the promotion of varied Performing Arts of India and is one of the oldest organisations in Mumbai.''}
\]
This statement is correct because the NCPA:
• Promotes Indian classical music and dance
• Encourages theatre and cultural performances
• Serves as a major cultural institution in Mumbai
It is one of the important and long-established performing arts institutions in the city.
Step 2: Examine the Reason statement.
The Reason states:
\[
\text{``National Centre for Performing Arts not only promotes Performing Arts but also promotes Indian Culture.''}
\]
This statement is also correct because the NCPA works for:
• Preservation of cultural heritage
• Promotion of Indian traditions
• Cultural education and performances
Step 3: Determine the relationship between Assertion and Reason.
Although both statements are correct, the Reason does not directly explain why the NCPA is regarded as one of the oldest and major performing arts organisations in Mumbai.
Therefore:
• Both Assertion (A) and Reason (R) are correct
• Reason (R) is not the correct explanation of Assertion (A)
Hence, the correct answer is:
\[
\boxed{\text{Both (A) and (R) are correct but (R) is not the correct explanation of (A)}}
\]
Therefore:
\[
\boxed{\mathrm{(B)}}
\]