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 5 of 7.

Ravi said:   1 decade ago
No @Bhuvana,

Its not working for all, its depend upon the problem all are our mind calculation.

Bhuvana said:   1 decade ago
@Mathan.

Whether this formula works in all those similar problems?

Siva 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 5yrs and 9800 is also SI + Prncpl for 8 yrs.

please someone explain?

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

Kasinath @Hyd said:   1 decade ago
Amount = P+I for 5 years = 9800 --- Eq(1).

Amount = P+I for 8 years =12005 -- Eq(2).

Eq(2)-Eq(1) => Amount = 735 for 3yrs.

Amount = P+I per year = 2205/3 = 735.

Therefore data is Inadequate to find Rate of interest.

But why Everyone took 9800 as SI sometimes and as principal sometimes. please help

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

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.

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
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?

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.


Post your comments here:

Your comments will be displayed after verification.