The least number of completed years in which | vedclass

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(B) Let the principal amount be $P$. We want the amount $A$ to be more than double the principal,i.e.,$A > 2P$.Using the compound interest formula $A

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$4$

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(B) Let the principal amount be $P$. We want the amount $A$ to be more than double the principal,i.e.,$A > 2P$.Using the compound interest formula $A = P(1 + r/100)^n$,we have $P(1 + 20/100)^n > 2P$.This simplifies to $(1.2)^n > 2$ or $(6/5)^n > 2$.For $n = 3$,$(6/5)^3 = 216/125 = 1.728$,which is less than $2$.For $n = 4$,$(6/5)^4 = 1296/625 = 2.0736$,which is greater than $2$.Therefore,the least number of completed years required is $4$.

The least number of completed years in which a sum of money put out at $20 \%$ $C.I.$ will be more than doubled is

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