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 5 of 10.
Shashi said:
1 decade ago
The interest of Rs725 he had collect at the end of the year with the interest of 4 months of Rs 362.5 so calculate it &you will get the correct answer.
Shubham said:
6 years ago
How they take 725 for 1 year when the says the beginning of the year and after 8 months?
I think 725 is for 8/12 and 362.5 for 1/3.
Please suggest me.
I think 725 is for 8/12 and 362.5 for 1/3.
Please suggest me.
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.
Prakash c said:
2 years ago
1st amount of 725 is considered as 1 year amount then 2nd part of the amount is considered as 4 months interest. Then we will give the perfect answer.
(1)
Shantanil Hazarika said:
7 years ago
@ALL.
Here, it isn't clearly stated that that 33.50 is collected as all together form both the loans.
So, how to get the answer? Please tell me.
Here, it isn't clearly stated that that 33.50 is collected as all together form both the loans.
So, how to get the answer? Please tell me.
Sameer said:
1 decade ago
In question there is written After 8 months the rate is twice.
Then, why in the answer this is written the new rate (twice) is only for 4 months.
Then, why in the answer this is written the new rate (twice) is only for 4 months.
Ayan said:
11 months ago
For 8 months take 2/3.
For 4 months take 1/3.
Then 725 * R * 2/100 * 3 + 362.50 * 2R * 1/100 * 3 = 4.62 approx. This is the correct solution.
For 4 months take 1/3.
Then 725 * R * 2/100 * 3 + 362.50 * 2R * 1/100 * 3 = 4.62 approx. This is the correct solution.
(15)
Satnam said:
1 decade ago
Here, original rate is for 1 year (s) ; the new rate is for only 4 months i.e. 1/3year (s).
Can anybody explain this line. How it becomes 1/3 ?
Can anybody explain this line. How it becomes 1/3 ?
Mahalaksmi said:
1 decade ago
I am not understanding this problem please explain me clearly,
725*r*1/100+31.50*2r*1/100*3.
What does this 100*3 mean?
Please help me guys.
725*r*1/100+31.50*2r*1/100*3.
What does this 100*3 mean?
Please help me guys.
Ashu said:
8 years ago
S.I=725*r*2/3*100+362.50*2r+1/3*100=33.50.
Therefore,
1450R/300+750R/300=33.50,
= 4.83R+2.5R=33.50,
= 7.33R=33.50,
= R=33.50/7.33,
= R=4.5.
Therefore,
1450R/300+750R/300=33.50,
= 4.83R+2.5R=33.50,
= 7.33R=33.50,
= R=33.50/7.33,
= R=4.5.
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