Abhinav invested a certain amount at the rate | vedclass

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(D) Step $1$: Calculate the Principal $(P)$.Given $SI = Rs. 3800$,$R = 8\%$,and $T = 5$ years.Formula: $SI = \frac{P 	imes R 	imes T}{100}$$3800 = \

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$1580.8$

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(D) Step $1$: Calculate the Principal $(P)$.Given $SI = Rs. 3800$,$R = 8\%$,and $T = 5$ years.Formula: $SI = \frac{P 	imes R 	imes T}{100}$$3800 = \frac{P 	imes 8 	imes 5}{100}$$3800 = \frac{40P}{100} = 0.4P$$P = \frac{3800}{0.4} = Rs. 9500$.Step $2$: Calculate the Compound Interest $(CI)$ for $2$ years.Formula: $CI = P \left[ \left( 1 + \frac{R}{100} ight)^n - 1 ight]$$CI = 9500 \left[ \left( 1 + \frac{8}{100} ight)^2 - 1 ight]$$CI = 9500 \left[ (1.08)^2 - 1 ight]$$CI = 9500 \left[ 1.1664 - 1 ight]$$CI = 9500 	imes 0.1664 = Rs. 1580.8$.

Abhinav invested a certain amount at the rate of $8$ $p.c.p.a.$ for $5$ years and obtained a $SI$ of $Rs. 3800$. Had he invested the same amount at the same interest rate for $2$ years,how much amount (in $Rs.$) would he have obtained as $CI$ at the end of $2$ years?

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