Sorry for the late reply.
First things first a cable can determine the quality but not the resolution.
2 things that I noted in the description are -
1. It mentions it supports 480p
2. It mentions PS2, PS3, PS3 Slim
Using the cable for PS2 will result in 480p output.
480p is the minimum resolution supported by PS3 - 480p, 720p, 1080i & 1080p
The Fat & the slim supported outputs of upto 1080p through component.
This product doesn't even mention PS3 Super slim and it is the super slim in which the situation is a bit murky. Since it is said to support higher resolution for games but only 480p for Blurays. may be a guy using component cable with Super Slim can clarify the specifics here.
By not mentioning the Super Slim in the description he has plucked your wings.
In short you will have to take a chance if it works good for you, if it doesn't you don't have a case and no excuse for returning it as the seller has not mentioned support for super slim in the description.
Also the product seems to be a chinese knock off so no info on the product or brand.
The genuine cable is a bit too expensive -
http://www.amazon.in/Sony-Component...8688490&sr=8-25&keywords=Sony+component+cable