Ram deposited a certain sum of money in a com | vedclass

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(A) Let the principal amount deposited in each case be $P$.For the company:Principal = $P$,Rate $(r_1)$ = $12 \%$,Time $(t_1)$ = $4$ years.Simple Inte

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$5000$

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(A) Let the principal amount deposited in each case be $P$.For the company:Principal = $P$,Rate $(r_1)$ = $12 \%$,Time $(t_1)$ = $4$ years.Simple Interest $(SI_1)$ = $\frac{P 	imes r_1 	imes t_1}{100} = \frac{P 	imes 12 	imes 4}{100} = \frac{48P}{100}$.For the bank:Principal = $P$,Rate $(r_2)$ = $15 \%$,Time $(t_2)$ = $5$ years.Simple Interest $(SI_2)$ = $\frac{P 	imes r_2 	imes t_2}{100} = \frac{P 	imes 15 	imes 5}{100} = \frac{75P}{100}$.Given that the difference in interest is $Rs. 1350$:$SI_2 - SI_1 = 1350$$\frac{75P}{100} - \frac{48P}{100} = 1350$$\frac{27P}{100} = 1350$$P = \frac{1350 	imes 100}{27}$$P = 50 	imes 100 = 5000$.Thus,the sum deposited in each case is $Rs. 5000$.

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