Pump price of petrol and diesel remained at previous days level of Rs 90.56 and Rs 80.87 a litre respectively in the capital.
Biju Janata Dal member Sujeet Kumar said the 10-fold increase in cess and surcharge by the Centre in the last couple of years is against the structure of cooperative federalism.
Replying to the debate on Finance Bill 2021 in the Lok Sabha, Sitharaman said both the centre as well as state governments levy taxes on petrol and diesel.
Excise duty was raised by Rs 13 and Rs 16 per litre on petrol and diesel between March 2020 and May 2020, and now stands at Rs 31.8 on diesel and Rs 32.9 per litre on petrol.
The central government has set its receipt target and with the revised fiscal deficit targeted at 9.5 per cent, of the GDP, the government is in no mood to go for any duty cut.
Asked if the Centre is mulling to reduce cess or other taxes on fuel to give some respite to consumers from high prices of diesel and petrol, she said the question has put her in 'dharm-sankat'.
People are increasingly preferring personal two-wheeler transport due to the Covid-19 pandemic.
Across the country as well the petrol and diesel price increased between 32-40 paisa per litre depending on the level of local duty at the state level.
Vadra was, however, trolled on social media, including by some BJP leaders, for wearing a suit while riding the bicycle with his luxury vehicle and securitymen in tow.
Why the BJP is igniting the fire of inflation, after taking votes from the people in the name of reducing it, he asked.
The Centre provided free LPG gas to 45.34 lakh families involving a cost of Rs 571.72 crore during the COVID pandemic lockdown.
The State-wide bandh called by Congress over fuel price hike and various other issues hit normal life partially in Bhubaneswar.
Petrol price was increased by 30 paise per litre and diesel by 36 paise a litre, according to a price notification of state-owned fuel retailers.
Attacking the Centre over rising fuel prices, Congress leader Rahul Gandhi said that people are suffering due to inflation and the Modi government is busy in tax collection.
Petrol and diesel rates were hiked on Thursday, the second straight day of such increase that took the prices to new highs.