Question

find amount and compound interest on 6000 rupees for 2 years at 9% per annum

Answer 1

$\huge\boxed{\texttt{\fcolorbox{red}{aqua}{Solution ;}}}$

Heya Mate !!!

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Step by Step Explanation ;-
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Given ;-
Principal ( p ) = ₹ 6000
Time ( t ) = 2 years
Rate ( r ) = 9 % p.a.

Formula ;-
A = P ( 1 + R/100 )n

So , Let's get Started !!!

=> A = ₹ 6000 ( 1 + 9/100)2

=> A = ₹ 6000 ( 109/100 + 109/100 )

=> A = ₹ 6000*109/100*109/100

=> A = ₹ 7,128.6

Now , We have to find Compound Interest ( CI ) ;-

CI = Amount ( A ) - Principal ( P )

=> CI = ₹ { 7,128.6 - 6000 } = ₹ 1128.6

Hence ;-
Amount = ₹ 7,128.6
Compound Interest = ₹ 1128.6

Answer 2

Answer:

$:\implies\sf Amount = P \bigg\lgroup 1 + \dfrac{R}{100}\bigg\rgroup^{n}$

$:\implies\sf Amount = 6000 + \bigg\lgroup 1 + \dfrac{9}{100}\bigg\rgroup^2$

$:\implies\sf Amount = 6000 \big\lgroup 1 + 0.09\big\rgroup^2$

$:\implies\sf Amount = 6000 \big\lgroup 1.09\big\rgroup^2$

$:\implies\sf Amount = 6000 \big\lgroup 1.1881\big\rgroup$

$:\implies \underline{ \boxed{\sf Amount =Rs. \: 7128.60 }}$

$\therefore\:\underline{\textsf{The Amount is \textbf{Rs. 7128.60}}}.$

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$\dashrightarrow\:\:\sf Compound \: Interest = Amount - Principal$

$\dashrightarrow\:\:\sf Compound \: Interest = 71286.60 - 6000$

$\dashrightarrow\:\:\underline{\boxed{\sf Compound \: Interest = 1128.6}}$

$\therefore\:\underline{\textsf{The Compound Interest is \textbf{Rs. 112.86}}}.$