To solve the problem, let's break it down step-by-step.
Given:
- Loan amount = 3,600,000
- Interest rate = 9% per annum
- Amount paid back = 280,000 in the first year
a) Total payment made in the first year
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Calculate Interest for the first year: \[ \text{Interest} = \text{Loan amount} \times \frac{\text{Interest rate}}{100} \] \[ \text{Interest} = 3,600,000 \times \frac{9}{100} = 324,000 \]
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Total payment in the first year:
- Total Payment = Interest + Amount paid back \[ \text{Total Payment} = 324,000 + 280,000 = 604,000 \]
Answer to (a):
The man paid 604,000 in the first year altogether.
b) Monthly payment if he paid the amount as monthly instalments
To find the monthly payment:
\[ \text{Monthly Payment} = \frac{\text{Total Payment}}{12} \] Substituting the total payment into the formula: \[ \text{Monthly Payment} = \frac{604,000}{12} = 50,333.33 \]
Answer to (b):
If he paid this amount in monthly instalments, he paid approximately 50,333.33 each month.