"Now it is up to state governments if they are concerned with the issue (to cut sales tax or VAT)," he told reporters here.
Referring to opposition ruled states, he said some state governments, particularly in Kerala and Delhi, were at the forefront of demanding a cut in duties. "And therefore state governments must really look at their own VAT collections," he said.
Jaitley said a large part of taxes collected on petroleum products goes to states. Besides their own VAT collection, they also get 42 per cent of central duties.
And so states must also bear a part of the impact, he said, adding that the revenues of both the Centre and state governments would be impacted by duty cuts but an upward movement in the economy would give adequate space for covering up of the lost revenue.
"When global oil prices are high, there is some kind of cushion required to be provided as far as consumers are concerned. Therefore, we have taken a conscious decision to that effect," he said.
Asked if BJP-ruled states would also be nudged to cut VAT, he said, "I think the states manage their finances and I am sure states are also close to their own people."
States that levy VAT as high as 40 per cent will "adequately factor this concern in," he said.
BJP-ruled Maharashtra levies 46.52 per cent VAT (47.64 per cent in Mumbai) on petrol, the highest in the country.
Andhra Pradesh has 38.82 per cent VAT on petrol while BJP-governed Madhya Pradesh levies 38.79 per cent VAT on the fuel.
BJP-led NDA governs 18 out of the 29 states.
Delhi and Himachal Pradesh levy 27 per cent VAT on petrol while Punjab has 36.04 per cent VAT. Haryana levies 26.25 per cent VAT.
Jaitley said a lot of oil revenue to centre and states is eventually used for infrastructure and social sector.
Jaitley, he said, will soon write to all states on the issue.
"We have proactively cut excise duty. Now it is the turn of states to reduce VAT," Pradhan told reporters.
Unlike the Centre, states levy VAT as an ad valorem duty which rises every time there is an increase in price.
The Centre, he said, sacrificed Rs 26,000 crore in revenue in the cut in excise duty.
"States are the biggest beneficiary. They get all of the VAT collection plus they also get 42 per cent of the central excise collections. The amount remaining with the Centre is used to finance centrally sponsored schemes in states," he said.
The Centre had raised excise duty by Rs 11.77 per litre on petrol and Rs 13.47 a litre on diesel between November 2014 and January 2016 to take away gains arising from plummeting international oil rates.
On Tuesday, it reduced excise duty on petrol to Rs 19.48 per litre from Rs 21.48 per litre and on diesel to Rs 15.33 a litre from Rs 17.33 previously.
This after petrol price rose by Rs 7.8 since early July to reach over three-year high of Rs 70.88 a litre in Delhi while diesel rates had risen by Rs 5.7 to touch an all-time high of Rs 59.14.
Pradhan said as a result of the excise duty reduction, petrol price has been cut by Rs 2.5 per litre and diesel by Rs 2.25.
Petrol in Delhi now costs Rs 68.38 a litre and diesel is now priced at Rs 56.89.
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)