Aptitude - Simple Interest - Discussion
Discussion Forum : Simple Interest - General Questions (Q.No. 14)
14.
A person borrows Rs. 5000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6
% p.a for 2 years. Find his gain in the transaction per year.
% p.a for 2 years. Find his gain in the transaction per year.Answer: Option
Explanation:
| Gain in 2 years |
|
||||||||||||||||
| = Rs. (625 - 400) | |||||||||||||||||
| = Rs. 225. |
 Gain in 1 year = Rs. |
 |
225 |  |
= Rs. 112.50 |
| 2 |
Video Explanation: https://youtu.be/zBjcwqIcmL4
Discussion:
49 comments Page 1 of 5.
Solomon said:
4 years ago
The difference in rate percentage will be the profit so, (6 1/4% - 4%)per year = 2.25%per year
P=5,000 considered as total percentage i,e 100.
Therefore, by cross multiplication;
5,000 = 100%
? = 2.25 %
We get;
5,000 x 2.25/100.
= 112.50 answers solved.
Question asked only for 1 year so it is 112.50.
In case if it is for two years it will be (112.50+112.50),
= 225.
P=5,000 considered as total percentage i,e 100.
Therefore, by cross multiplication;
5,000 = 100%
? = 2.25 %
We get;
5,000 x 2.25/100.
= 112.50 answers solved.
Question asked only for 1 year so it is 112.50.
In case if it is for two years it will be (112.50+112.50),
= 225.
(2)
Neela satya sai said:
4 years ago
Another method:
Gain percentage = 6 1/4% - 4%.
Gain percentage = 25/4% - 4%.
Gain percentage = 9/4%.
We know that principle amount, 5000rs = 100%.
Then,.
x rs = 9/4%.
x = (50 * 9)/4,
x = 450/4,
x = 112.5rs.
Gain percentage = 6 1/4% - 4%.
Gain percentage = 25/4% - 4%.
Gain percentage = 9/4%.
We know that principle amount, 5000rs = 100%.
Then,.
x rs = 9/4%.
x = (50 * 9)/4,
x = 450/4,
x = 112.5rs.
(1)
Ayushi said:
7 years ago
In this question, it is mention that person lends the amount to another person at (6 1/4) 25/4 pa not 25/4pc. then how come we are considering this 25/4 as a percentage?
The answer should be RS. 310.5 according to question. Can anyone clear my this doubt?
The answer should be RS. 310.5 according to question. Can anyone clear my this doubt?
Himanshu Baghel said:
9 years ago
Hi, I have a quesion, please give me the answer.
A man land some part of money 15000rs to A at 10% per annum in S.I. if and something part of B at 7% per annum S.I. such that it receive 3870rs total S.I. after 3 years. Find the sum land to A.
A man land some part of money 15000rs to A at 10% per annum in S.I. if and something part of B at 7% per annum S.I. such that it receive 3870rs total S.I. after 3 years. Find the sum land to A.
Hussain Ezzy said:
7 years ago
@All.
One can avoid the calculations by simply taking the amount of increase in the rate of interest.
i.e
Gain rate --> 25/4 = 6.25%.
Original Rate --> 4%.
increase = 2.25%.
Therefore, Gain = (5000x2.25)/100 = 112.5 Rs.
One can avoid the calculations by simply taking the amount of increase in the rate of interest.
i.e
Gain rate --> 25/4 = 6.25%.
Original Rate --> 4%.
increase = 2.25%.
Therefore, Gain = (5000x2.25)/100 = 112.5 Rs.
Karthik said:
4 years ago
Principal 5000 and 4 p.a.
1 year 200 intrest he has to pay,
The same amount 6(1/4)%,
6(1/4)is the mixed fraction,
When you change this;
25/4.
25/4% / 100% x 5000.
U get 312.50.
200-312.50 = 112.50.
So he gains 112.50;
1 year 200 intrest he has to pay,
The same amount 6(1/4)%,
6(1/4)is the mixed fraction,
When you change this;
25/4.
25/4% / 100% x 5000.
U get 312.50.
200-312.50 = 112.50.
So he gains 112.50;
Sumit said:
1 decade ago
Simplest method to solve
Principle is same
Term i.e period is same
ONLY lending & borrrowing rate differs
So GAIN=Diff between them(25/4-4)% = 9/4%
Therefore gain in rupees = 5000*9/4% = 112.5
Principle is same
Term i.e period is same
ONLY lending & borrrowing rate differs
So GAIN=Diff between them(25/4-4)% = 9/4%
Therefore gain in rupees = 5000*9/4% = 112.5
HARDIK KHIRNAR said:
8 years ago
How it is possible?
Because here the rate of interest is different for each 2 years. So he gains transaction each year is also different. So the person who is intelligent please clear my concept.
Because here the rate of interest is different for each 2 years. So he gains transaction each year is also different. So the person who is intelligent please clear my concept.
Sheik said:
2 decades ago
Its very simple 25/4 is the rate of interests at which he lends it to other person
just find s.i. of 5000,4%,2
and 5000,25/4%,2
and subtract the both pls refer 8th std maths book.
just find s.i. of 5000,4%,2
and 5000,25/4%,2
and subtract the both pls refer 8th std maths book.
Mandhapalli suresh said:
1 decade ago
Actually you are taking 2 years know that is in which the loan lends to another person but we want actual gain if 2 years is 225 means for 1 year 225/2=112. 5 ok.
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