The pear cut diamond engagement ring offers a several unique benefits:

1. Unique and Eye-Catching Appearance: The teardrop shape of a pear cut diamond is unique and stands out among more traditional diamond shapes. It can also create the illusion of longer, more slender fingers.
2. Versatility: The pear shape diamond can be set in a variety of settings, including solitaire, halo, and three-stone engagement rings. It can also be paired with other diamond shapes to create a stand-out designs.
3. Bigger Appearance: Similar to oval shapes, the pear cut diamond can appear larger than a round diamond of the same carat weight. This makes it a more affordable option for those who want a larger-looking diamond without the high price tag.
4. Timeless Style: The pear cut diamond has been a popular choice for engagement rings for many years and is likely to be in style for many years to come.
5. Brilliance and Sparkle: A well-cut pear diamond can have excellent light performance, with its many facets reflecting light in a stunning and sparkling way.

There's a few areas in which pear cut diamond engagement rings differ from round diamond engagement rings, including:

1. Shape: As the name suggests, the pear cut diamond engagement ring features a teardrop shape versus the round circular diamond.
2. Brilliance: Round diamonds are known for their excellent light performance, with their circular shape reflecting light in a very uniform way. Pear cut diamonds, on the other hand, tend to have a different pattern of brilliance due to their elongated shape and unique facets. They can also have a "bow-tie" effect, which is a dark area in the center of the diamond that can affect its appearance.
3. Size: Pear cut diamonds can appear larger than round diamonds of the same carat weight due to their elongated shape, which can make them a more affordable option for those looking for a bigger-looking diamond.
4. Setting: Because of their different shapes, round and pear cut diamonds are typically set in different types of settings. Round diamonds are often set in prong settings that highlight their circular shape, while pear cut diamonds are often set in more unique and artistic settings that complement their teardrop shape.
5. Personal Style: Ultimately, the choice between a round and pear cut diamond engagement ring comes down to personal style and preference. Round diamonds are classic and timeless, while pear cut diamonds are more unique and modern. Both shapes can be stunning in the right setting and with the right design.

The cost of a pear cut diamond engagement ring will depend on several factors, including the quality of the diamond, the carat weight, and the design of the ring itself. In general, pear cut diamonds can be slightly less expensive than round diamonds of the same carat weight because the pear shape tends to retain more of the rough diamond during the cutting process, which can reduce waste and lower costs.

However, other factors can affect the price of a pear cut diamond engagement ring, such as the quality of the cut, color, and clarity of the diamond. A well-cut, high-quality pear cut diamond will command a higher price than a poorly cut, low-quality diamond.