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.

Basudev said:   2 decades ago
Where this 25 come from, I don't understand. Please give the proper solution.

Sundar said:   2 decades ago
Hi Basudev,

We can write 6(1/4) as 25/4. Both are equivalent to 6.25

I hope you understand what I have mentioned here. Have a nice day!

Bhavya y J said:   2 decades ago
Where we taking this value 25/4 ?

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.

Srinu M said:   2 decades ago
The difference between the interests is 2.25.

So interest at 2.25 for 1 year on 5000 is the gain for 1 year

= (2.25/100) x 5000 x 1

= 112.5

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?


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