Hi Jigar,
I am sorry but I am not able to recreate it. Here is what I am guessing is wrong with the conditional profile field plugin

There is a function called build_conditions() in the main file.

You will see some code there like this

		$groups = BP_XProfile_Group::get(
					array(
						'fetch_fields' => true,
 					)
				);

Can you please change that to

		$groups = BP_XProfile_Group::get(
					array(
						'fetch_fields' => true,
                        'user_id'   => bp_is_my_profile() ? bp_displayed_user_id() : 0,
					)
				);

and try clearing your browser cache and checking again. Does it work. It should most probably.