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Jennifer bought a house for R620 000. She paid $35 \%$ cash and the balance was paid through a bank loan. The interest paid on the loan was $15 \%$ per annum compounded monthly.

(a) Calculate how much she would pay on a monthly basis if the loan is to be paid off over twenty years assuming that her first payment was made one month after the loan was granted.

(b) Calculate the balance outstanding at the end of the sixth year.

(c) At the end of the sixth year, the interest rate dropped to $12,25 \%$ per annum compounded monthly. Calculate her new monthly repayment one month after the interest rate dropped.
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