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 5 of 12.

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?

Renu said:   1 decade ago
Formula is simple interest(S.I)=P*T*R/100;

P=Principal amount or sum
T=Time
R=Interest rate

By using this formula we can solve this.

Vikas said:   6 years ago
step 1= p*r*t/100.
step 2=A=X & B=Y,
step 3= (X*14/100*2/2)+(Y*11/100*2/2)=3508/2.
step 4=X+y=3508,
After calculation we get x and y value.

Karthik said:   8 years ago
Why the amount invested in the scheme a should be taken as x and in scheme b should be taken as 13900-x, as both amounts are part of 13900?

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.

Tiama said:   8 years ago
I am confused with the following stem.
28x + 305800 - 22x = 3808 * 100.

Where did the other denomination (ie 100) gone?

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.

Anshul said:   8 years ago
The answer can be 6400 or 7500.

It is not necessary that A will invest X and B will invest the difference.

Renu said:   8 years ago
@Phani Kumar.

Can you plz tell me how to take a difference between r1 and r2 (14% - 11%) or (14*2-11*2).

B Krishna said:   6 years ago
How did you Assume that 7500 here, in what basis did you get that, can we get a Clear Explanation on this?
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