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.
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%.
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.
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.
Gayatri said:
9 years ago
Not getting this, please explain this sum.
Sanjeev verma said:
9 years ago
How to solve this after getting SI?
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%.
Mohit Mehta said:
8 years ago
Sum of an amount means? Please, anyone tell me to get it.
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%.
Deepak Soni said:
8 years ago
At last,
si=(735*100)/6125,
Si=12%.
si=(735*100)/6125,
Si=12%.
MOHANRAJ said:
8 years ago
SI for 3yrs = 12005-9800=2205.
SI for 1 yr = 2205/3=735.
(SI)Now cal for 5 yrs =735*5=3675.
Principal amt=9800-3675=6125.
SI=PNR/100.
3675=6125*5*R/100.
R=12.
SI for 1 yr = 2205/3=735.
(SI)Now cal for 5 yrs =735*5=3675.
Principal amt=9800-3675=6125.
SI=PNR/100.
3675=6125*5*R/100.
R=12.
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