Bids for over 9.52 crore shares were received, accounting for 2.83 times the shares on offer, as per data on the National Stock Exchange.
Government is selling over 3.36 crore shares or 10 per cent of its stake in EIL through a Follow on Public Offer (FPO) and the price band is Rs 145-150 apiece.
At the upper end of price band, the share sale would fetch Rs 500 crore to the exchequer.
The government, which currently holds 80.4 per cent in the miniratna company, had divested a 10 per cent stake in 2010.
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In January last year, the government decided to go in for further disinvestment in EIL, a leading provider of design, engineering and project management and consultancy services for the hydrocarbon sector.
A discount of Rs 6 per share would be offered to retail investors and employees participating in the offer. Five per cent of the offer has been reserved for EIL employees.
The stake sale is being managed by ICICI Securities, IDFC and Kotak Mahindra Capital, Edelweiss Financial Services and IDBI Capital.
The government has so far raised about Rs 3,000 crore of its disinvestment target of Rs 40,000 crore for the current financial year.