Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 2)
2.
Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B?
Rs. 6400
Rs. 6500
Rs. 7200
Rs. 7500
None of these
Answer: Option
Explanation:

Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).

Then, x x 14 x 2 + (13900 - x) x 11 x 2 = 3508
100 100

28x - 22x = 350800 - (13900 x 22)

6x = 45000

x = 7500.

So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.

Video Explanation: https://youtu.be/Xi4kU9y6ppk

Discussion:
115 comments Page 8 of 12.

Suvas said:   9 years ago
How you got 3508?

Lavanya said:   9 years ago
Any other easy way to solve immediately.

And wish formula use.

Guru said:   9 years ago
Any other easy way to solve immediately.

Manikant Thakur said:   10 years ago
In the question it is not mention that A having x or B having x so I am confuse here I got these two answer 7500 & 6400 so which should be the right one?

VinithaGopal said:   10 years ago
How this 28x-22x = 350800-(13900 x 22) came ? Please somebody explain!

Lakshman said:   10 years ago
Anyone please can explain how it came 45000?

Jay said:   1 decade ago
We can solve this problem this way - I = Pti when i=interest, p= actual amount, i=rate of interest, t=time.

Eeswar kumar said:   1 decade ago
By using simple formula [(I*100-P*R2)/R1-R2] = P2.

Here p = Total amount shared between A & B as P = P1+P2.

I = Total interest; R1 = P1's rate of interest, R2 = P2's rate of interest.

Priya said:   1 decade ago
Can anyone solve by taking x as a value of B? Am getting different answer if I take x for B.

Mahesh said:   1 decade ago
@King Kartik.

Formula : RT = (n-1)100.

Here: N = 2 (amount is double).

T = 5yr.
R?

Then 5R = 100.
R = 100/5.
R = 20.


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