Based on the notional boundary which the Boundary Commission was working with, it's interesting to note that in the notional working boundary which the British were drawing, the Amritsar district would have been completely surrounded by Pakistan. Intersection of the Sutluj-Beas would have been the marker for the boundary and then inclusion of the Amritsar district and then going south to Beas river and excluding the Gurdaspur district.
Another drawing and notice the red-line of how the border is redrawn and is shifted upwards.
How the border would roughly look today if the notional boundary of June 3 had been followed. The actual boundary which eventually took shape pulls certain areas of Kasur and gives the entire Gurdaspur district (except for Shakargarh tehsil) to India.
It's also interesting to note how the boundary goes up from Ferozepur and does a diagonal, jutts south-west into Kasur and then moves north, up to Wagah/Attari and touches River Ravi, and then it follows the river's path east and ends at the Jammu district of Kashmir.
Area of Lahore district that became part of India - Khem Karan, Assal Uttar, Bhikiwind, Talwandi as shown below. Seems like quite a significant part of the Kasur tehsil (part of Lahore district) went to India. Enlarged map of the area below.
Meeting at a half-way point between Kasur and Khem Karan, the boundary tilts slightly north-east, crosses the Wagah-Attari villages and finally touches the river Ravi. How some of the villages were left in the Pakistani side or Indian side is not something well documented or clear.
Actual boundary of Aug 17th 1947 (British delayed the announcement for couple of days after Aug 15th). This has raised controversy as to why there was a delay. A lot of writers on both sides mention that the Radcliff award was tilted in India's favor. Counter argument is that for all the economic loss that the Hindus and Sikhs suffered in losing their major business hubs of Lahore, Rawalpindi and Sialkot, plus large tracts of farms in Lyallpur and Montgomery, this was a small token of recognition of their loss, a sort of consolation prize for the Indians. Also to add buffer to protect Amritsar and Lahore in case of a war, the border is equidistant from the two cities.
Pakistanis think this was completely unjust and unfair that the borders were re-drawn despite having Muslim majority in Kasur tehsil and Gurdaspur district and that the final decision was different than what was originally discussed in June of 1947. Pakistanis also think that Ferozepur should have been included in Pakistan.
Important links for more study:
http://pakgeotagging.blogspot.com/2014/10/ (This is really a well done website by Tariq Amir using lots of data and maps).
http://www.thefridaytimes.com/tft/splitting-india-vii/ (Article by Dr. Ishtiaq Ahmed)
The boundary commissions held public sittings in which lawyers on behalf of the Congress, the Muslim League, the Sikhs and other interested parties presented their cases. It is significant to record that Radcliffe did not preside over the public sittings, but only studied the records of the proceedings. As both the commissions did not reach an agreement, Radcliffe alone gave the awards, demarcating the boundaries of Punjab, Bengal and Sylhet. Radcliffe made his awards for Bengal and Punjab on August 12 and for Sylhet on August 13. Mountbatten, however, did not release the Awards till the afternoon of August 16, 1947. Quaid-e-Azam Muhammad Ali Jinnah's comments on the Radcliffe Award were: "We have been squeezed in as much as it was possible." The most significant objections regarding the Radcliffe Award were that the tehsils of Ferozepur and Zira in Ferozepur districts, Nakodar and Jalandhar in Jalandhar district, Ajnala in Amritsar district and Gurdaspur and Batala in Gurdaspur district had Muslim majority and were almost contiguous to West Punjab, yet they were given to East Punjab or the Indian Punjab.
(Note: Article above mentiones afternoon of August 16th when the actual borders were announced, however some books have mentioned August 17th).
Ferozepur of today, a moving article by a comtemporary Indian blogger Rachna Bisht Rawat about the border between India and Pakistan at Ferozepur.
If you’ve never heard of Ferozepur, I wouldn’t hold it against you. It is one of those places that fell off the map in 1947 and lies forgotten since, buried under a pile of history and the memories of old sardars in granny glasses who squat on roadsides at dusk sipping hot cups of milky tea. The oldest British district of Punjab, established in 1833, Ferozepur was the place from where the British established control over much of north-west India as well as what is now Pakistan.