The goodwill relates to the purchase of net assets comprising an operation. The recoverable amount of the goodwill at 30 June 2013 was $10,000.

Goodwill is an intangible asset that represents the excess of the purchase price of a company over the fair value of its identifiable net assets. It arises when a company acquires another company and pays more than the value of the acquired company's identifiable assets.

To determine the recoverable amount of goodwill, you will need to consider the value of the goodwill and any potential impairment. Impairment occurs when the carrying amount of an asset exceeds its recoverable amount, which is the higher of its fair value less costs to sell or its value in use.

In this case, the recoverable amount of the goodwill at 30 June 2013 is stated as $10,000. To find out how this amount was determined, you would need to refer to the company's financial statements or valuation documentation.

To calculate the recoverable amount of goodwill, an entity would typically engage in an impairment test. This involves comparing the carrying amount of the goodwill (which is the value recorded on the balance sheet) with its recoverable amount.

If the carrying amount exceeds the recoverable amount, it indicates that the goodwill is impaired. In such cases, the entity would need to recognize an impairment loss and reduce the value of the goodwill accordingly.

Note that it is important to consult the specific financial statements or valuation documentation of the company in question to fully understand how the recoverable amount of the goodwill was determined.