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BMAT 2020 · Question 2 · Rates

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We have just installed a new boiler in our house. It has cost £4700 to install, but it will last for 9 years before it needs replacing. Nevertheless, the supplier assures us that it will cut our heating costs by 30%. This is good news as we currently pay, on average, £500 every quarter year. The supplier insists that it will pay for itself (i.e. save enough money to cover the cost of the purchase, before it needs replacing).

How long will the boiler take to pay for itself?