Question

P=160000 T=4 years R=5 find ci

Answer 1

$\huge\tt{\red{\underline{Given:}}}$

$\longrightarrow \:Principal = Rs160000$

$\longrightarrow \:Time=4yrs.$

$\longrightarrow \:Rate =5percent$

$\huge\tt{\red{\underline{To\:\:Find:}}}$

$\longrightarrow The \:Compound\:Interset$

$\longrightarrow \:\:The\:Compound\:Interset$

$\huge\tt{\red{\underline{Concept\:\:Used:}}}$

$\longrightarrow \:We \:will\:use\:formula\:of\:finding\:amount$

$\huge\tt{\red{\underline{Answer:}}}$

We have,

1. Principal =₹160000
2. Rate=5%
3. Time=4years

Now, We know

$\large\green{\boxed{A=P(1+\dfrac{R}{100})^{n}}}$

where

• P is principal
• n is time
• R is rate of interest
• A is the amount

$\implies A=P(1+\dfrac{R}{100})^{n}$

$\implies A=Rs160000(1+\dfrac{5}{100}) ^{4}$

$\implies A=Rs160000(1+\dfrac{\cancel{5}}{\cancel{100}^{20}}) ^{4}$

$\implies A=Rs160000(\dfrac{1+20}{20})^{4}$

$\implies A=Rs160000\times \dfrac{21}{20}^{4}$

$\implies A=Rs160000\times \dfrac{21}{20}\times \dfrac{21}{20}\times \dfrac{21}{20}\times \dfrac{21}{20}$

$\implies A=Rs \cancel{160000}\times \dfrac{21}{\cancel{20}}\times \dfrac{21}{\cancel{20}}\times \dfrac{21}{\cancel{20}}\times \dfrac{21}{\cancel{20}}$

$\implies A=Rs(21) ^{4}$

${\underline{\boxed{\red{.°.A=Rs194481}}}}$

_____________________________________

Now we have to find CI, So

$\large\purple{\boxed{CI=A-P}}$

where

• CI is the Compound Interest.
• A is the amount
• P is the principal

$\implies CI=A-P$

$\implies CI=Rs(1,94,481-1, 60,000)$

${\underline{\boxed{\red{.°. CI=Rs34,481}}}}$

Therefore the Compound Interest is Rs 34,481.

Answer 2

Given:

• Principal,P = 160000

• Time,n = 4 years

• Rate,r = 5 %

To find out:

Find the Compound interest, C.I ?

Formula used:

• A = P ( 1 + r/100 ) ^n

• C.I = A - P

Solution:

We know that,

A = P ( 1 + r/100 ) ^n

= 160000 ( 1 + 5/100 ) ^ 4

= 160000 ( 100 + 5/100 ) ^ 4

= 160000 ( 105/100 ) ^ 4

= 160000 × 105/100 × 105/100 × 105/100 × 105/100

= 16 × 105 × 105 × 11025/1000

= 1,944,810,000/10000

= 194481

Now,

C.I = A - P

= 194481 - 160000

= 34,481

Hence, the compound interest is 34,481.