Question

₹6000 for 2 years at 9% per annum compounded annually​

Answer 1

Answer:

Compound interest annually = ₹1128.6

Step-by-step explanation:

Given :

Principal = ₹6000

Time = 2 years

Rate = 9% per annum

To find :

The compound interest annually

Taken :

First find the amount -:

$\boxed{\sf{A=P{(1+\dfrac{r}{100})}^{t}}}$

Where,

A = Amount

P = Principal

r = Rate

t = Time

After that to find the compound interest -:

$\boxed{\sf{C.I.=A-P}}$

Solution :

▪︎Amount

$:\implies\sf{A=6000{\bigg(1+\dfrac{9}{100}\bigg)}^{2}}$

$:\implies\sf{A=6000{\bigg(\dfrac{1}{1}+\dfrac{9}{100}\bigg)}^{2}}$

L.C.M. of 1 and 100 is 100 .

$:\implies\sf{A=6000{\bigg(\dfrac{100+9}{100}\bigg)}^{2}}$

$:\implies\sf{A=6000{\bigg(\dfrac{109}{100}\bigg)}^{2}}$

$:\implies\sf{A=6000\bigg(\dfrac{109}{100}\times\dfrac{109}{100}\bigg)}$

$:\implies\sf{A=6000\bigg(\dfrac{11881}{10000}\bigg)}$

$:\implies\sf{A=\cancel{6000}\times\dfrac{11881}{\cancel{10000}}}$

$:\implies\sf{A=\cancel{\dfrac{35643}{5}}}$

$:\implies\sf{A=Rs.7128.6}$

Compound interest -:

$:\implies\sf{C.I.=Rs.7128.6-Rs.6000}$

$:\implies\sf{C.I.=Rs.1128.6}$

So , the compound interest annually is ₹1128.6 .