Question

The CI on a certain sum of money for 2 years at 5% pa is Rs.1025. Find the corresponding SI?​

Answer 1

$\bf\purple{\underline{\boxed{Question}}}$

$\:$

The CI on a certain sum of money for 2 years at 5% pa is Rs.1025. Find the corresponding SI?

$\:$

$\bf\purple{\underline{\boxed{Soution}}}$

✏$\:$

$\small\text{ The Formula for compound interest is CI }$

$\small\tt{ = P\times (1 + {\frac{ R}{100}})^{n} - P }$

$\:$

$\small\text{where}$

$\:$

$\small\text{A = Amount}$

$\small\text{P = Principal}$

$\small\text{R = Rate of interest in percent}$

$\small\text{N = Number Of Years}$

$\:$

$\small\text{The formula for Simple interest is}$

$\small\tt{SI\: =\:{\frac{P \times R \times T}{100}}}$

$\small\text{In the given problem R = 5 and N = 2 years.}\\{\small\text{Substituting , we have }}$

$\:$

$\small\tt{P\times(1.05)^{2}\:-\:P\:=\:1025}$

$\small\tt{Or\:\:\:P\: \times\:1.1025\:-\:P\:=\:1025}$

$\:$

$\small\tt{Therfore,\:\:\: P \:=\: {\frac{1025}{0.1025}}\: =\: Rs\: 10000}$

$\:$

$\small\text{Now we can calculate simple interest}\\{\small\text{using the value of P = 10000}}$

$\:$

$\small\tt{SI\: =\:{\frac{10000\times2\times5}{100}}}$

$\:$

$\small\text{SI = 1000 Rs }$

$\:$

$\bf\purple{\underline{\boxed{Thanks}}}$

Answer 2

$\large{\boxed{\red{\textbf{ Thanks\:For\:Ansking}}}}$

Given :-

• CI = Rs.1025
• Time Taken = 2 yrs
• Rate = 5%

To find :-

corresponding SI

Soln :-

CI :- [ P × { 1 + R/100 } ^ T ] - P

Here, CI is given = Rs.1025

P × { 1 + 5/100 }² - P = 1025

P × { 105/100 } ² - P = 1025

P × { 441/400 } - P = 1025

441/400 P - P = 1025

41/400 P = 1025

P = 1025 × 400 / 41

P = 10,000

➜ So, We get the Principal.

➜ Now SI = PTR / 100

10,000 × 2 × 5 / 100

» 1,00,000 / 100

» 1,000

Therefore,

The answer is ₹ 1000

$\large{\boxed{\red{\textbf{Be\:Brainly}}}}$