If the compound interest on a certain sum of | vedclass

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Question

Here, SI for 3 years $=$ Rs. 240 SI for 1 year $=$ Rs. $\frac{240}{3}$

SI for 2 years $=$ Rs. $\frac{240}{3} 	imes 2=$ Rs. 160 $\Rightarrow 160=\f

Vedclass · Accepted Answer

$1600$

Vedclass · Answer

Here, SI for 3 years $=$ Rs. 240 SI for 1 year $=$ Rs. $\frac{240}{3}$

SI for 2 years $=$ Rs. $\frac{240}{3} 	imes 2=$ Rs. 160 $\Rightarrow 160=\frac{ P 	imes R 	imes 2}{100} \Rightarrow PR =8000$

Hence, $(164-160)= P \left(\frac{ R }{100}ight)^{2}$

$\Rightarrow 4= P \left[\frac{8000}{ P 	imes 100}ight]^{2} \Rightarrow 4=\frac{ P 	imes 8000 	imes 8000}{ P ^{2} 	imes(10000)}$

$\Rightarrow P = Rs .1600$

If the compound interest on a certain sum of money for $2$ years is $Rs. 164$ whereas the simple interest for $3$ years at the same rate is $Rs. 240$ on the same sum, find the sum (In $Rs.$)

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