The correct answer to this open question is the following.
The Virginia Plan was introduced and amended and the New Jersey Plan introduced and rejected because of the following reasons.
The New Jersey Plan was presented during the Constitutional Convention of Philadelphia by William Patterson in opposition to the Virginia Plan. Under this plan, each state had one vote. The Virginia Plan was proposed by Federalists Edmund Randolph and James Madison and was based in representation based on the population of the states. It was the plan that was accepted.
