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A company offers pay day loans, the percentage of interest charged on them changes depending on the size of the loan. The first £500 is always interest free. 20% interest is charged on the next £1,500. A rate of 40% interest is charged on any further loan. Interest is calculated at the outset of the loan and then a regular payment is agreed with the customer. The minimum loan given is £800. A loan of £2,500 is paid back in 24 equal payments. How much is each payment?
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I may be a poor judge but this doesn’t seem to be a well written question. First of all, it is not clear if the 20 or 40% is per year or per month or per period.
Second, we know there are 24 payments but we do not know if they are monthly or weekly or annual.
A more realistic scenario would be was interest charged per year or per month which then compounds.
In this case, trying the assumption that the interest is for the duration of the loan, in that case, you have three contributing amounts to the loan:
A. 500 with no interest = 500 B. 1500 with 20% interest = 1800 C. 500 with 40% interest = 700
Total: £3000 Payment = 3000/24 = 125
PS. However, this does not make a lot of sense in reality because if you borrow for a month or if you borrow for 10 years, your interest rate cannot be the same and has to change depending on the duration of the loan, not the size…
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