This is the system of increased Indian participation in government that began after WWII as part of the Montagu-Chelmsford reforms.

The system of increased Indian participation in government that began after World War II as part of the Montagu-Chelmsford reforms is known as "Dyarchy" or "Dual Government". Here are the steps that explain this:

1. The Montagu-Chelmsford reforms were introduced in 1919, during the British rule in India. These reforms were named after Edwin Montagu, the then Secretary of State for India, and Lord Chelmsford, the then Viceroy of India.

2. The main feature of these reforms was the introduction of the Dyarchy system in the provinces. The provincial subjects were divided into two categories: 'Transferred' and 'Reserved'.

3. The 'Transferred' subjects were to be administered by the Governor with the aid of ministers responsible to the Legislative Council. These subjects included public health, education, public works, etc.

4. The 'Reserved' subjects, such as finance, police, revenue, were to be administered by the Governor and his Executive Council without being responsible to the Legislative Council.

5. This system was a step towards giving Indians more control over their own affairs. It was a move towards self-governance, which was further realized after World War II when India gained independence.

6. Post World War II, the demand for Indian participation in the government increased significantly. This led to the formation of the Indian National Congress and later the creation of the Constitution of India, which established India as a sovereign, socialist, secular, and democratic republic.

7. Thus, the Montagu-Chelmsford reforms and the Dyarchy system can be seen as a precursor to the increased Indian participation in government after World War II.