Kavita invested frac{1}{3} of her money at 4 | vedclass

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(C) Let the total money invested be $P$. According to the question,the total interest is the sum of interest from three parts:$	ext{Interest} = \frac

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$12000$

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(C) Let the total money invested be $P$. According to the question,the total interest is the sum of interest from three parts:$	ext{Interest} = \frac{P}{3} 	imes \frac{4}{100} + \frac{P}{4} 	imes \frac{3}{100} + \left(P - \left(\frac{P}{3} + \frac{P}{4}ight)ight) 	imes \frac{5}{100} = 500$$\Rightarrow \frac{4P}{300} + \frac{3P}{400} + \left(P - \frac{7P}{12}ight) 	imes \frac{5}{100} = 500$$\Rightarrow \frac{4P}{300} + \frac{3P}{400} + \frac{5P}{12} 	imes \frac{5}{100} = 500$$\Rightarrow \frac{16P}{1200} + \frac{9P}{1200} + \frac{25P}{1200} = 500$$\Rightarrow \frac{50P}{1200} = 500$$\Rightarrow \frac{P}{24} = 500$$\Rightarrow P = 500 	imes 24 = 12000$Thus,the total money invested is $Rs. 12000$.

Kavita invested $\frac{1}{3}$ of her money at $4 \% \text{ p.a.}$,$\frac{1}{4}$ at $3 \% \text{ p.a.}$,and the rest at $5 \% \text{ p.a.}$ She received an annual interest of $Rs. 500$ on her money. Find the total money invested (in $Rs.$).

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