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.
Rs. 112.50
Rs. 125
Rs. 225
Rs. 167.50
Answer: Option
Explanation:

Gain in 2 years
= Rs. 5000 x 25 x 2 - 5000 x 4 x 2
4 100 100
= 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.

Pavithra Ramu said:   2 years ago
He got for 4% and he gave for 6 1/4% which is gain for him;
Now simply,
25/4 -4 =9/4%.
9/4% of 5000 is 112.5.
(18)

Pratiksha said:   3 years ago
The gain in 1 year = Rs. 112.50.

how it is calculated? Can anyone tell me?

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;

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.
(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.
(1)

Vinay said:   5 years ago
Thank you very much for explaining the answer.

Bipin said:   5 years ago
Hi @Halappa.

The formula of simple interest P*T*R /100.

Renuka Bhosale said:   5 years ago
How 25/4 is equal to 6/4?
(1)

Halappa said:   6 years ago
Please, anyone, explain the formula for me.

Sanjana said:   6 years ago
Why we are taking 25/4 instead of 6/4?

=> 25/4 = 6.25 and 6/4 = 1.5 then, how both are equal?
Why are we adding 6+1/4?


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