Michael borrowed Rs 16000 from a finance company at $10 \%$ per annum, compounded half-yearly. What amount of money will discharge his debt after $1 \frac{1}{2}$ years?
Principal amount $=$ Rs. 16000
Rate of interest $=10 \%$ per annum $=5 \%$ for half year
Time $=1 \frac{1}{2}$ years $=3$ half years
Principal for the first half year $=$ Rs. 16000
Interest for the first half year $=$ Rs. $\left(\frac{16000 \times 5 \times 1}{100}\right)=$ Rs. 800
Now, amount at the end of the first half year $=$ Rs. $(16000+800)=$ Rs. 16800
Principal for the second half year $=$ Rs. 16800
Interest for the second half year $=$ Rs. $\left(\frac{16800 \times 5 \times 1}{100}\right)=$ Rs. 840
Now, amount at the end of the second half year $=$ Rs. $(16800+840)=$ Rs. 17640
Principal for the third half year $=$ Rs. 17640
Interest for the third half year $=$ Rs. $\left(\frac{17640 \times 5 \times 1}{100}\right)=$ Rs. 882
Now, amount at the end of the third half year $=$ Rs. $(17640+882)=$ Rs. 18522
$\therefore$ The amount of money Michael has to pay the finance company after $1 \frac{1}{2}$ years is Rs $18522 .$
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