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To pay off the loan of $50 000 at 12% p.a. compounding monthly, Ms. Yee agrees to make three payments in 2, 5 and 10

To pay off the loan of $50 000 at 12% p.a. compounding monthly, Ms. Yee agrees to make three payments in 2, 5 and 10 months respectively. The second payment is to be double the first, and the third payment is to be triple the first.

What is the size of each payment? Show all working out.

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