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 4 of 7.
SAUMENDRA said:
8 years ago
12005-9800=2205(SI FOR 3 YEARS).
SI FOR 1 YEAR=2205/3=735.
SI FOR 5 YEARS=735 X 5=3675.
PRINCIPAL 9800-3675=6125.
6125 AMT SI IS 735.
SO,100 AMT SI IS 735/6125 X 100=12%.
SI FOR 1 YEAR=2205/3=735.
SI FOR 5 YEARS=735 X 5=3675.
PRINCIPAL 9800-3675=6125.
6125 AMT SI IS 735.
SO,100 AMT SI IS 735/6125 X 100=12%.
Mohit Mehta said:
8 years ago
Sum of an amount means? Please, anyone tell me to get it.
Sankarilakshmi said:
9 years ago
Here,
A1= 9800 and T1 = 5 yrs.
A2=12005 and T2 = 8 yrs.
Formula for this type of question to find R% =( (A1-A2) / (A2*T1 - A1*T2) ) *100.
Therefore,
R% =( (9800 - 12005) / ( 12005*5 - 9800*8 ) ) * 100,
= (-2205 /-18375) * 100,
= 12%.
A1= 9800 and T1 = 5 yrs.
A2=12005 and T2 = 8 yrs.
Formula for this type of question to find R% =( (A1-A2) / (A2*T1 - A1*T2) ) *100.
Therefore,
R% =( (9800 - 12005) / ( 12005*5 - 9800*8 ) ) * 100,
= (-2205 /-18375) * 100,
= 12%.
Sanjeev verma said:
9 years ago
How to solve this after getting SI?
Gayatri said:
9 years ago
Not getting this, please explain this sum.
Mani said:
9 years ago
Sir, why you have done (2205/3) * 5?
I didn't understand that step. Please explain me.
I didn't understand that step. Please explain me.
Anonymous said:
9 years ago
Can't we think in this way that after five years amount is 9800 and we know each year S.I is 735 and we will add to it but 10% of 9800 is 980. So the answer should be obviously less than 10%. I am talking for the 6th year.
Shyam said:
9 years ago
THE DIFFERENCE BETWEEN GIVEN YEARS 5 AND 8 IS 3,
SO,
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 1 year = Rs. (2205/3) = Rs 735.
S.I. for 5 years = 735*5 = Rs. 3675.
Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate = 12%.
SO,
S.I. for 3 years = Rs. (12005 - 9800) = Rs. 2205.
S.I. for 1 year = Rs. (2205/3) = Rs 735.
S.I. for 5 years = 735*5 = Rs. 3675.
Principal = Rs. (9800 - 3675) = Rs. 6125.
Hence, rate = 12%.
Amit said:
9 years ago
If I want to solve it with 1 years interest i.e. 735 = (6125 * r * 1)/100.
Then the answer is not coming. Why? Someone, please explain.
Then the answer is not coming. Why? Someone, please explain.
Anand J said:
9 years ago
I am not getting a solution for this problem. Then what is the difference between 9800 and 3675 for 5 years. Already we have 9800 for 5 years then why we need 3675?
I tried like the bellow method.
for 1 year:
P x 1 x R/100
for 5 years:
9800 = P x 5 x R/100.
for 8 years:
12005 = P x 8 x R/100.
But I did not get answer after seeing the explanation. Please explain.
I tried like the bellow method.
for 1 year:
P x 1 x R/100
for 5 years:
9800 = P x 5 x R/100.
for 8 years:
12005 = P x 8 x R/100.
But I did not get answer after seeing the explanation. Please explain.
Post your comments here:
Quick links
Quantitative Aptitude
Verbal (English)
Reasoning
Programming
Interview
Placement Papers