Concept:
Nandalal Bose (1882--1966) was one of the foremost artists of the Bengal School and a pioneer of modern Indian art. In 1938, at the request of Mahatma Gandhi, he created the famous Haripura Posters for the Haripura Session of the Indian National Congress. These paintings depicted ordinary Indian villagers engaged in their traditional occupations, celebrating rural life and indigenous culture.
The poster Dhaki (1937), portraying a traditional drummer, is one of the best-known works from this series and is preserved in the Allahabad Museum.
Step 1: Recall the museum where the Haripura Poster “Dhaki” is housed.
The Haripura Poster Dhaki by Nandalal Bose is housed in the Allahabad Museum.
\[
\boxed{\textit{Dhaki} \Longrightarrow \text{Allahabad Museum}}
\]
Step 2: Examine the given options.
• Vastu Sangrahalaya, Mumbai -- Houses important art collections but not the Haripura Poster Dhaki.
• Allahabad Museum -- Correct; houses Nandalal Bose's Dhaki.
• NGMA, New Delhi -- Possesses several works of modern Indian artists but not this poster.
• National Museum, New Delhi -- Primarily preserves archaeological, historical and cultural artefacts.
Hence,
\[
\boxed{\text{(B) Allahabad Museum}}
\]