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 1 of 7.

Xyz said:   2 decades ago
(2205/3) * 5 ?

ABC said:   1 decade ago
@Xyz

For calculationg SI for 1 year we divide it by 3 first and then we want 5yr SI, so we multiplied it by 5 got it.

Acd said:   1 decade ago
Principal = Rs. (9800 - 3675) = Rs. 6125 ?

Appu said:   1 decade ago
Hai Asd,

In the question we can find "The sum of amount 9800 " it means, principal + SI=9800. So p=9800-SI of 5 years.

I hope u got it.

Akhi said:   1 decade ago
Ques: The simple interest of a certain sum for 2 years is Rs 580 and for 5 years is Rs 700 with the same rate of interest. Find the rate of interest.

Can anyone solve this please?

Insaan said:   1 decade ago
@ Akhi - the answer of your question is 8%.. its done like the above question here..see

S.I for 3 years (5-2) = 120
S.I for 1 year = 120/3 = 40
hence, S.I for 2 years is 2*40 = 80. (you can also calculate for 5 years instead of 2 years)
Principal = Amount - SI
580 - 80 [amount can also be 700 if we take 5 years]
500
Now, we know SI aswell as Principal
therefore using formula
S.I = PRT/100
80 = 500*R*2/100 [ T can also b 5 if we consider 5 years]
R = 8

Akhi said:   1 decade ago
@Insaan

Actually the question is wrong because it is simple interest while it should be amount. And your solution is correct if it would have been amount.

Krishna said:   1 decade ago
Why s.i for 3yrs and 5yrs are taken instead of 5yrs and 8yrs?

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.

Ruku said:   1 decade ago
Thanks madhan, I understand it, thanks lot.


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