Certainly! Let's solve this problem step by step:
1. Initial Cost of the Hifi System:
Hauka bought a Hifi System that costs K2,500.
2. Deposit Made:
Hauka made a deposit of K220.
3. Fortnightly Payment:
Hauka agreed to pay K220 every fortnight.
4. Duration of Payments:
The payment period is seven months. There are approximately 4 weeks in a month. Since a fortnight is two weeks, each month has about 2 fortnights.
Therefore, the total number of fortnights in seven months is:
[tex]\[
\text{Total number of fortnights} = 7 \times 2 = 14 \text{ fortnights}
\][/tex]
5. Total Payments Over Seven Months:
Since Hauka pays K220 per fortnight for 14 fortnights, the total amount paid in these fortnights is:
[tex]\[
\text{Total payments over seven months} = 220 \times 14 = K3,080
\][/tex]
6. Total Amount Paid Including Deposit:
Hauka paid a deposit of K220 initially. Adding this to the total fortnightly payments:
[tex]\[
\text{Total amount paid} = K220 + K3,080 = K3,300
\][/tex]
7. Interest Paid:
To find the interest paid, we subtract the initial cost of the Hifi System (K2,500) from the total amount paid (K3,300):
[tex]\[
\text{Interest paid} = K3,300 - K2,500 = K800
\][/tex]
Therefore, Hauka paid K800 in interest.
The correct answer is not listed in the given options. However, based on the calculations, we can conclude:
- The amount of interest Hauka paid is K800.
