If in a certain number of years,₹ 3000 amount | vedclass

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(B) Let $r \%$ be the rate of interest and $n$ be the number of years.The formula for the amount in compound interest is $A = P(1 + \frac{r}{100})^n$.

Vedclass · Accepted Answer

$3600$

Vedclass · Answer

(B) Let $r \%$ be the rate of interest and $n$ be the number of years.The formula for the amount in compound interest is $A = P(1 + \frac{r}{100})^n$.Given that $P = 3000$ and $A = 4320$ after $n$ years:$4320 = 3000(1 + \frac{r}{100})^n$Dividing both sides by $3000$:$(1 + \frac{r}{100})^n = \frac{4320}{3000} = 1.44$We need to find the amount after half the time,i.e.,$n/2$ years:$A' = 3000(1 + \frac{r}{100})^{n/2}$Since $(1 + \frac{r}{100})^n = 1.44$,taking the square root of both sides gives:$(1 + \frac{r}{100})^{n/2} = \sqrt{1.44} = 1.2$Substituting this value into the expression for $A'$:$A' = 3000 	imes 1.2 = 3600$Thus,the amount will be ₹ $3600$.

If in a certain number of years,₹ $3000$ amounts to ₹ $4320$ at compound interest,in half that time ₹ $3000$ will amount to (in ₹):

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