Dikshit conveyed her government's decision to launch the scheme first to Union Food Minister K V Thomas in a meeting.
"The Chief Minister informed the Union Food Minister that Delhi will be the first state in the country to roll out the scheme," Delhi's Food and Civil Supplies Minister Harun Yusuf, who accompanied Dikshit in the meeting with Thomas, told PTI.
When asked about his meeting with Dikshit, Thomas said "Delhi has come forward first to implement the food security programme."
He said Dikshit sought some clarifications on number of beneficiaries and prices of food grains and he clarified about them.
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President Pranab Mukherjee had signed the Ordinance on Friday that will give the nation's three-fourth population the right to get 5 kg of foodgrains every month at highly subsidised rates of Rs 1-3 per kg.
However, about 2.43 crore poorest of the poor families covered under the Antyodaya Anna Yojana (AAY) scheme under PDS would continue to get 35 kg of grains per family per month but with legal entitlement.
The Food Security programme will be the biggest in the world with the government spending estimated at Rs 125,000 crore annually on supply of about 62 million tonnes of rice, wheat and coarse cereals to 67 per cent of the population.