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 4 of 5.

Ganesh said:   1 decade ago
Every thing here is fine but at last why did you take average of the gain 225/2=125.50.

Please clarify my doubt.

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.

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

Pooja said:   1 decade ago
Thanx Sumit..its really simple:)

Mary said:   1 decade ago
What is not clear in the qn is whether the interest is lent or the amount is lent after two years?

Jaya prakash said:   1 decade ago
From where we got 25/4?

GANDHAM SURESH said:   1 decade ago
I really do't know why we have calculated the gain in that way? What is gain? Please send me solution.

Sureshkrishna said:   8 years ago
In the given data, everything will be same but rate aloe diff
So (25/4)-4 = 2.25.
Final answer: 5000 * 2.25 = 112.50.

DIVYA S said:   1 decade ago
6(1/4).

1 is reminder.
4 is divisor.
6 is quotient.

Finally get the answer 25/4.

Vamsi said:   1 decade ago
We can also write 6(1/4) as 4*6+1=25/4.


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