Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 1)
1.
A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is:
Rs. 650
Rs. 690
Rs. 698
Rs. 700
Answer: Option
Explanation:

S.I. for 1 year = Rs. (854 - 815) = Rs. 39.

S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698.

Discussion:
171 comments Page 13 of 18.

Mayaank said:   8 years ago
Is this the sum of money for 3 years?

K mahendra naidu said:   8 years ago
Hi, guys this problem can be solved in 2 ways i.e,

Sum of 3 years ------------ 815
Sum of 4 years------------- 854
So, the difference is 1 year.
Amount 39.
So,
solution1:
39*3=117(difference*years).
815-117=698.

Sol2:
39 * 4 = 156(difference*years),
854 - 156 = 698.

Visithra said:   8 years ago
Very useful discussion. Thank you all.

Rajeswari said:   8 years ago
3years = 815.
4years = 854.
Diff = 39.
39*3 = 117.
815-117 = 698.
854-117 = 698.

JayRaj said:   8 years ago
Good method, Thanks @Vikram.

Lalit said:   8 years ago
Hi,

Please explain me why SI calculated on 3 years why not 4 year?

Koishik mandal said:   8 years ago
S.I. for 1 year = Rs. (854 - 815) = Rs. 39.
S.I. for 3 years = Rs.(39 x 3) = Rs. 117.

Principal = Rs. (815 - 117) = Rs. 698.

Pavithrasai said:   8 years ago
Here, si=p*r*t/100.

So for 3 yrs, 815=p*r*3/100 => r=81500/3p and for 4yrs, 854=p*r*4/100 => r=85400/4p. Verify options by placing each option as p values and option which gives same values of r in both the equations is the answer. Hence, option c.

Monisha Lodhi said:   8 years ago
Why we find out only for three years. Is principle is found on only for the first year money?

Divya said:   8 years ago
Is 698 is principal amount?


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