Congress-ruled Kerala suggested that the new body should decide on state quotas in the same manner the erstwhile Planning Commission used to do.
West Bengal chose to skip the first meeting of the Governing Council of NITI Aayog, chaired by Prime Minister Narendra Modi and attended by a host of Chief Ministers and representatives from most of the states and Union Territories.
Tamil Nadu Chief Minister O Panneerselvam said vertical devolution of share to the states should be at least 50 per cent of the aggregate resources available with the Centre.
He stressed on substantial flexibility in the design of the flagship programmes to cater to the diverse needs and the capacity differentials amongst states.
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Uttar Pradesh Chief Minister Akhilesh Yadav made a case for at least 90 per cent of grants under central schemes.
Emphasising on continuous interaction between the states and the Centre, Yadav urged the Prime Minister to make the process of allocation of funds to states more transparent and ensure that there was no room for "discretion" while allocating funds to the states.
NITI Aayog was set up as a think-tank for the Centre and states on January 1 replacing over six-decade old Planning Commission.
On the other hand, Kerala Chief Minister Oommen Chandy suggested that the Aayog should continue to determine the levels of funds to be allocated to the states and fix plan expenditure, like the Planning Commission used to do.