Question

hlo guys
tell the answer​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Simple\:Interest=432\:rupees}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Compound \: Interest(C.I) = 246 \: rupees \\ \\ \tt: \implies Time(t) = 2 \: years \\ \\ \tt: \implies Rate\% = 5\% \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies Simple \: Interest(S.I) = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies C.I= A - p \\ \\ \tt: \implies 246 = A - p \\ \\ \tt: \implies A = 246 + p \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies A= p(1 + \frac{r}{100} )^{t} \\ \\ \tt: \implies 246 + p = p \times (1 + \frac{5}{100} )^{2} \\ \\ \tt: \implies 246 + p = p \times (1 + 0.05)^{2} \\ \\ \tt: \implies 246 + p = p \times 1.1025 \\ \\ \tt: \implies 246 = 1.1025p - p \\ \\ \tt: \implies 246 = 0.1025p \\ \\ \tt: \implies p = \frac{246}{0.1025}$

$\green{\tt: \implies p = 2400 \: rupees} \\ \\ \tt \circ \: Principal = 2400 \: rupees \\ \\ \tt \circ \: Rate\% = 6\% \\ \\ \tt \circ \: Time = 3 \: years \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies S.I= \frac{p \times r \times t}{100} \\ \\ \tt: \implies S.I= \frac{2400 \times 6 \times 3}{100} \\ \\ \tt: \implies S.I = 24 \times 6 \times 3 \\ \\ \green{\tt: \implies S.I = 432 \: rupees}$

Answer 2

Given:-

$\textsf{Compound interest(C.I) = Rs. 246}\\\textsf{Time(n) = 2 years}\\\textsf{Rate(r) = 5 }\%$

To find:-

$\textsf{The simple interest(S.I) on the same sum for 3 years at 6 }\%\ \textsf{per annum.}$

Solution:-

$\bold{A = P(1+\frac{r}{100})^n }\\\\\bold{\implies A = P(1+\frac{5}{100})^2 }\\\\\bold{\implies A = P(1+0.05)^2}\\\\\bold{\implies A=P(1.05)^2}\\\\\bold{\implies A=P(1.1025)} \:\:\:\:\:\:\:\:\:\:\:\:.....(i)$

$\textsf{We know,}\\\\\bold{C.I = A-P }\\\\\bold{\implies 246=1.1025P-P}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:.....\textsf{[from (i)]}\\\\\bold{\implies 246=0.1025P}\\\\\bold{\implies P=\frac{246}{0.1025} }\\\\\bold{\implies P=Rs. 2400}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:....(ii)$

$\textsf{Now,}\\\textsf{Principal(P) = Rs. 2400}\\\textsf{Rate(r) = 6}\%\\\textsf{Time(n) = 3 years}$

$\textsf{We know,}\\\\\textsf{S.I = }\bold{\frac{p*r*t}{100} }\\\\\bold{\implies S.I = \frac{2400*6*3}{100} }\\\\\bold{\implies S.I=24*6*3}\\\\\bold{\boxed{\implies S.I=Rs.432}}$