A certain sum of money amounts to Rs. 756 in | vedclass

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(C) The interest for $1.5$ $years$ is the difference between the amounts: $873 - 756 = Rs. 117$.Since the interest for $1.5$ $years$ is $Rs. 117$,the

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$13$

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(C) The interest for $1.5$ $years$ is the difference between the amounts: $873 - 756 = Rs. 117$.Since the interest for $1.5$ $years$ is $Rs. 117$,the interest for $1$ $year$ is $\frac{117}{1.5} = Rs. 78$.The interest for $2$ $years$ is $78 	imes 2 = Rs. 156$.The principal amount is the amount after $2$ $years$ minus the interest for $2$ $years$: $756 - 156 = Rs. 600$.Using the Simple Interest formula $SI = \frac{P 	imes R 	imes T}{100}$,where $SI = 78$,$P = 600$,and $T = 1$:$78 = \frac{600 	imes R 	imes 1}{100}$$78 = 6 	imes R$$R = \frac{78}{6} = 13 \%$.Therefore,the rate of interest is $13 \%$.

$A$ certain sum of money amounts to $Rs. 756$ in $2$ $years$ and to $Rs. 873$ in $3.5$ $years$. Find the rate of interest (in $\%$)?

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