In how many years will a sum of ₹ 800 at 10 % | vedclass

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(A) Given: Principal $(P) = ₹ 800$,Amount $(A) = ₹ 926.10$,Annual Rate $(R) = 10 \%$.Since the interest is compounded semiannually,the rate per half-y

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$1.5$

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(A) Given: Principal $(P) = ₹ 800$,Amount $(A) = ₹ 926.10$,Annual Rate $(R) = 10 \%$.Since the interest is compounded semiannually,the rate per half-year is $r = \frac{10}{2} = 5 \%$.Let the number of half-years be $n$.The formula for compound interest is $A = P(1 + \frac{r}{100})^n$.Substituting the values: $926.10 = 800(1 + \frac{5}{100})^n$.$926.10 = 800(1 + 0.05)^n$.$926.10 = 800(1.05)^n$.$\frac{926.10}{800} = (1.05)^n$.$1.157625 = (1.05)^n$.Since $(1.05)^3 = 1.157625$,we have $n = 3$ half-years.Time in years $= \frac{3}{2} = 1.5$ years.

In how many years will a sum of ₹ $800$ at $10 \%$ per annum compound interest,compounded semiannually,become ₹ $926.10$?

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