New Zealand Law
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If time was important in this contract, and they have delayed beyond the time specified, you can cancel the contract. However if you have accepted delivery, then you should to pay something, but if the day has caused inconvenience and extra time to chase them up then you can ask for a discount. I would suggest you make them an offer of what you think reflects their delay costs to you, and tell them you will pay that, but if they insist they will need to claim in the Disputes Tribunal, where you will defend this on the basis of the delay, and where you are likely to get a discount