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(C) The formula for compound interest is $A = P(1 + \frac{R}{n 	imes 100})^{n 	imes T}$,where $P$ is the principal,$R$ is the annual rate,$n$ is the

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$16537.50$

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(C) The formula for compound interest is $A = P(1 + \frac{R}{n 	imes 100})^{n 	imes T}$,where $P$ is the principal,$R$ is the annual rate,$n$ is the number of times interest is compounded per year,and $T$ is the time in years.Given: $P = 15000$,$R = 10 \%$,$T = 1$ year,and interest is compounded half-yearly $(n = 2)$.Effective rate per half-year = $\frac{10 \%}{2} = 5 \%$.Number of half-years $(N)$ = $1 	imes 2 = 2$.Amount $A = 15000(1 + \frac{5}{100})^2$.$A = 15000(1 + 0.05)^2 = 15000(1.05)^2$.$A = 15000 	imes 1.1025 = 16537.50$.Thus,the amount received at the end of the year is ₹ $16537.50$.

Sam invested ₹ $15000$ at $10 \%$ per annum for one year. If the interest is compounded half-yearly,then the amount (in ₹) received by Sam at the end of the year will be:

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