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 2 of 5.

Anirban Amit said:   8 years ago
@Himanshu Baghel

Ans:
For,1st person P=x.
2nd person=15000-x.
So, SI=3870.
(x*10*3)/100+[(15000-x)*7*3]/100=3870.
After calculation answer will be 8000.

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

BIKASH said:   1 decade ago
CASE 1:
P = 5000, T = 2, R = 4%.

CASE 2:
P=5000, T = 2, R = 6.25%.

GAIN = 6.25% - 4%.
= 2.25%.

NOW, 5000*2.25% = 112.5( FOR 1 YEAR).
(1)

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!

Arun M.K said:   8 years ago
@Himanshu.

x + y = 15000,
0.3x+ 0.21y = 3870,
y = 15000 - x.
Solving we get x = 8000 and y = 7000.
So the sum given to A is 8000.

Sakshi said:   9 years ago
What annual investment discharge will discharge a debt of Rs. 1092 due in 3 years at SI 12%?

Please anyone answer this.

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?

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.

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.

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)


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