Nandalal Bose was a renowned Indian painter, considered a pivotal figure in the modern Indian art movement. One of his famous works is the 'Haripura Posters', which he created in 1937 for the Indian National Congress session in Haripura. Among these posters, 'Dhaki' is a notable piece.

Now, to locate where this piece is housed in India, let's analyze the options provided:

1. Vastu Sangrahalaya, Mumbai: This museum, also known as Chhatrapati Shivaji Maharaj Vastu Sangrahalaya, is a prominent museum in Mumbai but does not house Nandalal Bose's 'Dhaki'.
2. Allahabad Museum: While this museum possesses significant works of historical value, 'Dhaki' by Nandalal Bose is not housed here.
3. NGMA, New Delhi: The National Gallery of Modern Art (NGMA), New Delhi, is a premier institution which houses a comprehensive collection of artworks by modern Indian artists, including Nandalal Bose's 'Dhaki'. This aligns with our information about where the art piece is located.
4. National Museum, New Delhi: Although this museum houses important artifacts and art, the 'Dhaki' is not part of its collection.

Given these options, the correct answer is NGMA, New Delhi. Nandalal Bose's 'Haripura Poster - Dhaki' is indeed housed in the National Gallery of Modern Art, New Delhi.

This museum plays a significant role in preserving the cultural heritage of India, and having 'Dhaki' in its collection underscores its importance in the Indian art scene.