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)

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)

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

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)

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.

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.

Aswin Lal said:   8 years ago
Why was 225 divided by 2 in the last step?

Vallabha chebiyyam said:   8 years ago
Because 225 is the gain for 2 years(read the Q)
we need to calculate for only 1 year so, 225/2=112.5.

Kareena said:   8 years ago
Why are we dividing 225/2?


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