Question

harpreet borrowed rs 2000 from her friend at 12 % per annum simple interest. she lent it to alam at the same rate but compounded annually. find her gain after 2 years. explain step by step​

Answer 1

Answer:

28.8. INDIA

Step-by-step explanation:

her gain will be = difference between the c.i & s.i for 2 yrs on the same principle.

gain = p[(1 + r/100)^t-1] - prt/100 = 28.8

OR

her gain

= 25.44% of 2000 - 2000 ×12 × 2/100

= Rs 28.8

OR

her gain = pr^2/100^2 (best formula to get it easily ).put values here ,you will get the same answer.

Answer 2

Answer:

Step-by-step explanation:

Step 1:

Given,

P=2000

R(Rate)=12%

n(Time)=2 years

Step 2:

SI = (P * R * T)/100

where,

P=Amount (Given)

R=Rate

n=Time

Step3:

=(2000*12*2)/100

=480

Harpreet return 2480 rs. to her friend.

Step 4:

Because harpreet give the same amount in same rate for same time but at compound.

So,

Now we find the Compound interest on given amount rate and time.

Because

Step 5:

CI=P(1+R/100)^n

CI=Compound Interest

P=Amount

R=Rate

n=Time

Step 6:

CI=2000(1+12/100)^2

=2000(28/25)^2

=2000 * 28/25 * 28/25

=2508.5

Harpreet take 2508.5 rs from Alam.

profit by Harpreet = 2508.5-2480 = 28.5rs.