Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 11)
11.
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is:
5%
8%
12%
15%
Answer: Option
Explanation:

S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.

S.I. for 5 years = Rs. 2205 x 5 = Rs. 3675
3

Principal = Rs. (9800 - 3675) = Rs. 6125.

Hence, rate = 100 x 3675 % = 12%
6125 x 5

Video Explanation: https://youtu.be/UYwiBCRN39s

Discussion:
68 comments Page 4 of 7.

Steve said:   6 years ago
How come 3 here?

Mohd Faiq said:   6 years ago
Which formula you have used to find SI for 3 years = (12005-9800)?

Vipul said:   6 years ago
2205=9800*3*R/100.

Is this is correct?

Rahul kp said:   5 years ago
@Annu.

The Simple Interest remains same whether it is for 1 year or 5 years.

Abcd said:   4 years ago
Please anyone explain it for me.

Mathan said:   1 decade ago
For this type of Question, use this formula.

a = 9800 ; b = 12005 ; t1 = 5 yrs ; t2 = 8 yrs

Principal = (at2 - bt1)/(t2-t1)

Rate = ((b-a)x100)/(bt1-at2) %

Hope it works.

Dinesh said:   1 decade ago
Why we didn't calculate for 8 yrs?

Dharshan said:   1 decade ago
SI For 3 years = 12500-9800 = 2205.
SI For 1 year = 2205/3 = 735.

So, SI For 5 years = 5*735 = 3675.

Principal for 5 years = 9800-3675 = 6125.
Now calculate rate for 5 years = (3675*100)/(6125*5) = 12%.

Zainim said:   1 decade ago
In first step >>> S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.

How come it is S.I = 2205?. It should be difference in SI + Principal for 3 years = 2205. How come it is SI alone?

12005 is SI + Principal for 5 years and 9800 is also SI + Principle for 8 years.

Sruthi said:   1 decade ago
Why SI for 3yrs and 5yrs are taken instead of 5yrs and 8yrs?


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