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 9 of 10.
Maya said:
9 years ago
I agree @Supriya.
I too get the answer as 4.5%.
I too get the answer as 4.5%.
Sudhanshu ranjan said:
9 years ago
Given explanation is right, it is easy to understand the problem now.
@hmed said:
9 years ago
Why we take 2175?
Hemed said:
9 years ago
Because question says, after 8 months means the interest of last four months is twice or double the previous one.
Sandeep said:
9 years ago
Why r is taken as 2r? Explain.
Abhiruchi said:
1 decade ago
How
725 x R x 1
-------------
100
become 2175
725 x R x 1
-------------
100
become 2175
G K said:
9 years ago
How it comes 2175 + 725 * 3. Where does 3 come from?
Mahesh said:
9 years ago
Cleared with the help of given explanations. Thank you all.
Manjiri said:
9 years ago
Rate of interest is r for 725 and 2r for 362.50;
So, r for 725 for 1 year and 2r for 362.5 for 4 months is correct. The calculations are independent.
So, r for 725 for 1 year and 2r for 362.5 for 4 months is correct. The calculations are independent.
Neha said:
9 years ago
Anybody can explain that why we add 1 year = remaining 4 months. I think it will be 1 year 4 month.
Secondly, after 8 months 362.50 is more.
So we must add 362.50 in 725 for remaining 4 months?
Secondly, after 8 months 362.50 is more.
So we must add 362.50 in 725 for remaining 4 months?
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