I am from Bangladesh and planning to visit Paris (7 days) and Rome (6 days) in August with my family. As I was a bit late in applying for a visa at the French Embassy, I got a visa from the Swedish Embassy, which takes much less time end to end. Now, if I enter the Schengen area through Paris and entirely skip Sweden, will we be allowed to enter?
You may make minor adjustments to your itinerary after the visa is granted.
You may not present a false itinerary in order to get a visa. If you are found out, the visa will be cancelled, and getting a new one any time in the future will be difficult.
Apparently you have lied to get the visa. phoog made a good suggestion in his comment: turn the lie into a fact and to follow the itinerary which you have submitted. Sweden is quite nice in August, beautiful coasts, beautiful islands.