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Ranosa Orrels will ask you to acquire an amulet from Akamora's temple. She instructs you not to seem too keen, and gives you 300 gold. Whatever remains after making the purchase will constitute your reward.
Journey across Akamora to the temple, and speak to Ilmeni Bendalos. Check her 'Barter' screen. The Amulet of Resistance is for sale at 250 gold. If you bring up the topic 'enchanted amulet' with Ilmeni Bendalos, the price will increase to 500 gold - somewhat above what you have been provided to pay for it. If you're any good at pickpocketing, you may steal the amulet instead of purchasing it - Ranosa will disapprove however. Otherwise you must purchase it as is, haggling as best as your Mercantile allows.
If you've bought the amulet at an increase price, complaining to Ranosa that the amulet cost more than you were given will result in little more than a pitying look; although, she will grudgingly give 50 gold to you if your Mercantile is over 50, and her disposition above 60.