Using the numbers above, it would cost $350 to lend $1000. That's 35%. If the loan term is 2 months, the APR is annualized by compounding that 35% 6 times, giving 500%. If the loan is amortizing, the APR calculation comes out a lot higher, probably more like 1000%.
This is the fundamental economics of high-cost, short-term credit (HCSTC).
It is UK, where I am, HCSTC is highly regulated by the FCA. The nominal interest APRs are less important that a regulatory rate cap: customers cannot be charged more than 100% total interest and fees for loans up to 12 months.