Aptitude - Simple Interest - Discussion

We know A = P+SI

As we given,

For 5 years and for 8 years :

= 12500 = P+S.I.

= 9800 = P+S.I------->1.

On subtraction of 8 years and 5 years amount we get S.I of 3 years.

= 12500-9000 = 2205.

Then for S.I of 1 year will become = 735.

Then for 5 years it will become = 5*735 = 3675.

Form (1) we have 9800 = P+S.I.

= 9800-S.I = P.
= 9800-3675 = 6125.
=> P = 6125.

Now we calculate for are for 5 years. As we know S.I for 5 years = 3675.

And P = 6125, and T = 5.

=>3615*100/5*6125.

=>12%.

In the question given only amount. But when we subtract 8 years amount to 5 years amount we get S.I of 3 years.

We can calculate rate for 5 years or 8 years both give the same answer.

If we calculate S. I for 5 years then we have to calculate rate for 5 years.

See S.I for 5 yrs = 5*735 = 3675.

Then principal for 5 yrs = 9800-3675 = 6125.

Then calculate rate. If we calculate S.I for 8 years then we have to calculate rate for 8 years.

S.I for 8 yrs = 8*735 = 5880.

Then principal for 8 yrs = 12005-5880 = 6125.

Then calculate rate both gives same answer.

Hope it will helpful.

A = P+I.

1) 12005 = P+5880 (Total interest for 8 years=5880).

2) P = A-I = 12005-5880 = 6125.

3) SI = PNR/100, 5880 = 6125*8*R/100.

4) So R = 5880*100/8*6125= 12.

Why difference between amount of two different years is S.I rather than amount?

9800 and 12005 is principle or simple interest? Please explain clearly.

I = PRT/100 -----> 735 = 6125*R*1/100 ---> R = 12%.

I didn't understand the last step.

Hence, rate = 100 x 3675% = 12%.

6125 x 5.

I am not getting a solution for this problem. Then what is the difference between 9800 and 3675 for 5 years. Already we have 9800 for 5 years then why we need 3675?

I tried like the bellow method.
for 1 year:
P x 1 x R/100

for 5 years:
9800 = P x 5 x R/100.

for 8 years:
12005 = P x 8 x R/100.
But I did not get answer after seeing the explanation. Please explain.

If I want to solve it with 1 years interest i.e. 735 = (6125 * r * 1)/100.

Then the answer is not coming. Why? Someone, please explain.