Aptitude - Simple Interest - Discussion
Discussion Forum : Simple Interest - General Questions (Q.No. 9)
9.
A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months, a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs. 33.50 is earned as interest from both the loans. What was the original rate of interest?
Answer: Option
Explanation:
Let the original rate be R%. Then, new rate = (2R)%.
Note:
Here, original rate is for 1 year(s); the new rate is for only 4 months i.e. 
year(s).
 |
 |
725 x R x 1 |  |
+ | |
362.50 x 2R x 1 | |
= 33.50 |
| 100 | 100 x 3 |
(2175 + 725) R = 33.50 x 100 x 3
(2175 + 725) R = 10050
(2900)R = 10050
| R = |
10050 | = 3.46 |
| 2900 |
Original rate = 3.46%
Discussion:
97 comments Page 8 of 10.
Syam prasad said:
1 decade ago
First interest only for a period of 8 months so time will become 8/12.
Rajnish said:
8 years ago
I didn't understand this problem, so please solve this problem simply.
(1)
Sudhanshu ranjan said:
9 years ago
Given explanation is right, it is easy to understand the problem now.
SHUBHaM SaKHaRE said:
7 years ago
725*(8/12)*r + (725+362.5)*(4/12)*2r = 33.5*100.
Hence;
r=2.77%.
Hence;
r=2.77%.
SOMESH said:
8 years ago
1st principal should be calculated for 8 months, not for one year.
Ray said:
9 years ago
What is 2175 it should also 725, as 362.
50 * 2R *1 becomes 725
50 * 2R *1 becomes 725
Ashik said:
7 years ago
33.50 = ((R*725*8)/(100*12)) + ((2R*362.50*4)/(100*12)).
R = 6%.
R = 6%.
Mahesh said:
9 years ago
Cleared with the help of given explanations. Thank you all.
Pranshi said:
2 years ago
Why we didn't take 8/12 instead of 1? Please explain me.
(20)
Meenakshie said:
1 decade ago
For the 8 month principal should be (725+362.50)=1087.50
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