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 3 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%.
Adarsh said:
1 decade ago
A = P+I.
1) 12005 = P+5880 (Total interest for 8 years=5880).
2) P = A-I = 12005-5880 = 6125.
3) SI = PNR/100, 5880 = 6125*8*R/100.
4) So R = 5880*100/8*6125= 12.
1) 12005 = P+5880 (Total interest for 8 years=5880).
2) P = A-I = 12005-5880 = 6125.
3) SI = PNR/100, 5880 = 6125*8*R/100.
4) So R = 5880*100/8*6125= 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.
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.
Yeshey said:
3 years ago
How come the difference between 12005 and 98000 is S.I?
I think it should be an Amount where P and I is included. Someone, please help me to get it.
I think it should be an Amount where P and I is included. Someone, please help me to get it.
(5)
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.
Chu Tiahai said:
5 years ago
@Vipul.
2205=9800*3*R/100.
This wouldn't work as the interest is always calculated on the original principal amount which in this case is 6125.
2205=9800*3*R/100.
This wouldn't work as the interest is always calculated on the original principal amount which in this case is 6125.
(3)
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.
ABC said:
1 decade ago
@Xyz
For calculationg SI for 1 year we divide it by 3 first and then we want 5yr SI, so we multiplied it by 5 got it.
For calculationg SI for 1 year we divide it by 3 first and then we want 5yr SI, so we multiplied it by 5 got it.
Vipin Mishra said:
1 decade ago
Hi @Kashinath:
In question principle is not mention, Only S.I is mention, that's why All People are taking S.I.
In question principle is not mention, Only S.I is mention, that's why All People are taking S.I.
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