All perfect praise be to Allah, The Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad is His slave and Messenger.
You must pay zakah on those ten thousand if they reach the Nisaab (minimum amount liable for zakah) by themselves or in addition to other money or gold or silver or tradable items. The amount of zakah is 2.5%.
If you have not paid zakah on it the previous years, then you should do so now, because zakah is not waived by the fact that its time has passed. Also, the fact that the amount is mortgaged with the bank does not prevent one from the obligation of paying it. Zakah must be paid on the money that is subject to zakah, even if such money is mortgaged. So you should pay zakah on the mortgaged money as long as you have other money to pay from.
Ibn Qudaamah said, “If a person mortgages cattle and a whole lunar year elapses while it is in the hands of a mortgagee, then it is obligatory on the person who mortgaged the cattle to pay the zakah as he is the complete owner, so if he can pay the zakah from other things, then it is an obligation.”
Also, Ibn Hazm said in Al-Muhalla, “If a person mortgages cattle, gold, silver, land that he cultivated, or palm trees that yielded fruit, and a whole lunar year elapses, then zakah must be paid on all this … because it is property that resulted from his property, and the obligatory zakah is a must on it as long as his property is not transferred to someone else [i.e. as long as he is still its owner].”
An-Nawawi said, “If a person mortgages cattle or other zakah funds and a whole lunar year elapses, then there are two views for this: the adopted view – which is the view authoritatively asserted by the majority of the scholars – is that zakah must be paid on it because of fully owning the property. It was also said that there is a difference of opinion regarding it, like that regarding usurped property, as the person (in this case) is not able to dispose of his property.”
Allah knows best.