Question

Please answer my question.
I will mark u as brailnliest​

Answer 1

Question :

• sahait deposited a sum of ₹8000 at compound interest in the bank at the rate of 18% per annum, fir 3 years .What interest will he get after the end of 3 years ?

$\qquad \qquad \underline{ \red{\rule{100mm}{2mm}}}$

$\green{\begin{gathered}\frak{Given \;that}\begin{cases}\sf{\:\; \:Principle \: \: ( P ) = \bf{Rs\;8000}}\\\sf{ \: \: \:Rate \: of \: interest \: (R ) = \bf{18\%\;}}\\\sf{ \: \: \:Time \: \: (T)= \bf{3 \: years}}\end{cases}\end{gathered} }$

$\: \: \: \: \: \: \underline {\underline{ \blue{ \large \: \frak{Neeed\; to\; find \;out : - - }}}}$

• What interest he get after 3 years ?

$\orange{ \qquad \large \sf \underline{\underline{ Solution \ \: : - - }}}$

Using compound interest formula

$\pink{ \longmapsto \fbox{ \boxed{ \bf \: A=P \bigg\lgroup1 + \frac{r}{100} \bigg \rgroup^{t} }}}$

Where,

• A = amount
• P = principal
• r = rate of interest
• t = time (in years)

$\large \underline{ \bf \: putting \: values \: we \: get \: }$

$\longmapsto { \bf \: A=P \bigg\lgroup1 + \frac{r}{100} \bigg \rgroup^{t} }$

$\\ \tt\longmapsto \: A = 8000 \bigg \lgroup 1 + \frac{18}{100} \bigg \rgroup^{3}$

$\\ \tt\longmapsto \: A = 8000 \bigg \lgroup \frac{100 + 18}{100} \bigg \rgroup^{3}$

$\\ \tt\longmapsto \: A = 8000 \bigg \lgroup \frac{118}{100} \bigg \rgroup^{3}$

$\\ \tt\longmapsto \: A = 8000 \times \frac{118}{100} \times \frac{118}{100} \times \frac{118}{100}$

$\\ \tt\longmapsto \: A = 8 \cancel0 \cancel{00 }\times \frac{118}{1 \cancel{00}} \times \frac{118}{10 \cancel0} \times \frac{118}{100}$

$\\ \tt\longmapsto \: A = \: 8 \times \frac{118}{1} \times \frac{118}{10} \times \frac{118}{100}$

$\\ \tt\longmapsto \: A = \frac{13144256}{1000}$

$\\ \large \pink{\tt\longmapsto \: A = 13144.256}$

$\large \bf \: interest \: he \: will \: get \: after \: the \: end \: of \: 3 \:years \:$

$\longmapsto \: \pink{ \fbox{ \boxed{Total Amount - Principal amount }}}$

$\\ \\ \longmapsto \bf \: 13144.256 - 8000 \\ \\ \\ \frak{ \longmapsto5144.256}$

$\bigstar \fbox{\boxed{ \orange{ \sf \: Therfore \: he \: will \: get \: interest \: after \: 3 \: years = Rs. 5144.256}}} \bigstar$

$\underline{\rule{100mm}{2mm}}$