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:
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.
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?
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?
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
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.
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
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?
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.
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.
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