The sum for 2 years gives a compound interest | vedclass

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Question

(A) Given: Compound Interest $(C.I)$ = ₹ $3225$,Time $(n)$ = $2$ years,Rate $(r)$ = $15 \%$ per annum.The formula for Compound Interest is:$C.I = P \l

Vedclass · Accepted Answer

$10000$

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(A) Given: Compound Interest $(C.I)$ = ₹ $3225$,Time $(n)$ = $2$ years,Rate $(r)$ = $15 \%$ per annum.The formula for Compound Interest is:$C.I = P \left[ \left( 1 + \frac{r}{100} ight)^n - 1 ight]$Substituting the given values:$3225 = P \left[ \left( 1 + \frac{15}{100} ight)^2 - 1 ight]$$3225 = P \left[ (1.15)^2 - 1 ight]$$3225 = P [1.3225 - 1]$$3225 = P 	imes 0.3225$Solving for $P$:$P = \frac{3225}{0.3225}$$P = 10000$Therefore,the principal amount is ₹ $10000$.

The sum for $2$ years gives a compound interest of ₹ $3225$ at the rate of $15 \%$ per annum. The principal amount is (in ₹):

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