Question

Harpreet borrowed rs 20000 from her friend at 12% per annum simple interest she lent it to Alam at the same rate but compounded annually find gain percent after 2 years
​

Answer 1

Answer:

d = Rs 288

Step-by-step explanation:

/* We know that ,

If on a certain sum "P" , difference between compound interest and simple interest is 'd' and rate percentage is R% for 2 years , then the relation is

d = P\left(\frac{R}{100}\right)^{2}d=P(

100

R

)

2

Where d = (CI - SI ) for 2 years */

Here,

Principal (P) = Rs 20000,

R = 12%,

d = 20000\left(\frac{12}{100}\right)^{2}d=20000(

100

12

)

2

= 20000\times \frac{12}{100}\times \frac{12}{100}=20000×

100

12

×

100

12

\begin{gathered}= 2\times 144\\=Rs 288\end{gathered}

=2×144

=Rs288

Answer 2

Answer:

Gain = 1.16 %

Step-by-step explanation:

$SI = \frac{P*T*R}{100} = \frac{20,000*12*2}{100} = 4800$

Harpreet has to return to her Friend = 20,000 + 4800 = 24,800

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

⇒ $20,000(1 + \frac{12}{100} )^2 - 20,000$

⇒ $20,000 * \frac{112}{100} * \frac{112}{100} - 20,000$

⇒ 25,088

Harpreet will receive from Alam = 25,088

Gain  = 25,088 - 24,800

Gain = 288

Gain % = ( 288/24800 ) × 100

Gain % = 1.16%