Question

find the difference between the compound interest and the simple intersest on ₹ 4000 for 2 years at 10%​

Answer 1

Answer:

Rs. 40 is the difference between the Compound Interest (C.I) and Simple Interest (S.I).

Answer 2

$\huge {❍ \underline{\underline{\tt \: Question }}}\: : -$

Find the difference between the compound interest and the simple intersest on ₹ 4000 for 2 years at 10%.

$\huge{ ❍  \underline{\underline{\tt \: Solution}}}\: : -$

Given :-

• Principal = Rs. 4000
• Time = 2 years
• Rate = 10 %

Find :-

• Difference between S.I (Simple interest) and C.I (Compound interest)

Now, we need to know the formula required to solve it :-

$\star \boxed { \underline{ \underline{\rm \: S.I = \dfrac{ P \times R \times T}{100} }}}$

Now , solving

$\hookrightarrow {\rm \: S.I = \dfrac{ 40 \cancel{00 }\times 10 \times 2}{1 \cancel{00}} }$

$\hookrightarrow {\rm \: S.I = 40 \times 10 \times 2}$

$\hookrightarrow {\rm \: S.I = 400 \times 2}$

$\hookrightarrow {\rm \bf \underline{ \: S.I = 800 }}$

Now , Amount we have to find out :-

$\boxed{ \tt \: Amount \: = P { \huge[}1 + \dfrac{ R }{100} {\huge]}^{n} }$

* Note :- "n" represents number.

Now , solving ..

$\boxed{ \tt \: Amount \: = P { \huge[}1 + \dfrac{ R }{100} {\huge]}^{n} }$

$\hookrightarrow \tt \: Amount \: = 4000 { \huge[}1 + \dfrac{ 1 \cancel0 }{1 \cancel00} {\huge]}^{2}$

$\hookrightarrow \tt \: Amount \: = 4000 { \huge[}1 + \dfrac{ 1 }{10} {\huge]}^{2}$

Now 10 gets multiplied by 1 and then + 1

$\hookrightarrow \tt \: Amount \: = 4000 { \huge[}\dfrac{ 11 }{10} {\huge]}^{2}$

$\hookrightarrow \tt \: Amount \: = 4000 \times \dfrac{ 11 }{10} \times \dfrac{11}{10}$

$\hookrightarrow \tt \: Amount \: = 40 \cancel{00 }\times \dfrac{ 121 }{1 \cancel{00} }$

$\hookrightarrow \tt \: Amount \: = 40 \times 121$

$\hookrightarrow \tt \: Amount \: = Rs.4840$

Now ,

$\boxed{ \tt \: \: Compound \: interest = Amount - Principal}$

$\tt \: \: Compound \: interest = 4840 - 4000$

$\tt \: \: Compound \: interest = 840$

Now ,

Difference between S.I and C.I ,

$\tt \: \: \mapsto 840 - 800$

$\tt \: \: \bf \mapsto Rs.40$

✪ Hence , the difference between Compound interest and Simple interest is Rs.40 .

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