Arun invested a sum of money at a certain rat | vedclass

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(D) Let the principal be $P$ and the rate of interest be $R\%$ per annum.Simple interest for $4$ years,$SI_1 = \frac{P 	imes R 	imes 4}{100}$.Simple

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Cannot be determined

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(D) Let the principal be $P$ and the rate of interest be $R\%$ per annum.Simple interest for $4$ years,$SI_1 = \frac{P 	imes R 	imes 4}{100}$.Simple interest for $6$ years,$SI_2 = \frac{P 	imes R 	imes 6}{100}$.According to the problem,$SI_2$ is $50\%$ more than $SI_1$.So,$SI_2 = SI_1 + 0.50 	imes SI_1 = 1.5 	imes SI_1$.Substituting the values: $\frac{P 	imes R 	imes 6}{100} = 1.5 	imes \frac{P 	imes R 	imes 4}{100}$.Simplifying both sides: $\frac{6PR}{100} = 1.5 	imes \frac{4PR}{100}$.$\frac{6PR}{100} = \frac{6PR}{100}$.Since the equation holds true for any value of $R$,the rate of interest cannot be determined from the given information.

Arun invested a sum of money at a certain rate of simple interest for a period of $4$ years. Had he invested the same sum for a period of $6$ years,the total interest earned by him would have been $50\%$ more than the earlier interest amount. What was the rate of interest per cent per annum?

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