A sum of ₹ 12,000 deposited at compound inter | vedclass

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(D) The formula for compound interest is $A = P(1 + \frac{R}{100})^T$,where $A$ is the amount,$P$ is the principal,$R$ is the rate,and $T$ is the time

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(D) The formula for compound interest is $A = P(1 + \frac{R}{100})^T$,where $A$ is the amount,$P$ is the principal,$R$ is the rate,and $T$ is the time in years.Given that the sum becomes double in $5$ years,we have $\frac{A}{P} = 2$ when $T = 5$.So,$(1 + \frac{R}{100})^5 = 2$.We need to find the amount after $20$ years. The amount $A$ after $20$ years is given by $A = P(1 + \frac{R}{100})^{20}$.Substituting $(1 + \frac{R}{100})^5 = 2$ into the equation,we get $A = P 	imes ((1 + \frac{R}{100})^5)^4$.$A = P 	imes (2)^4 = P 	imes 16$.Given $P = ₹ 12,000$,the amount after $20$ years is $16 	imes 12,000 = ₹ 1,92,000$.

$A$ sum of ₹ $12,000$ deposited at compound interest becomes double after $5$ years. After $20$ years,it will become (in ₹): (in $,000$)

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