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 6 of 12.

Sou said:   1 decade ago
Its a heavy. Is there any shortcut?

Phani Kumar said:   1 decade ago
Here the shortcut for this kind of problems.

P1 = ((100*I) - (P*T*R2))/(difference of R1 and R2). And then find P2 by:

P2 = P-P1.

Here,

P = 13900.
P1 = Part1;
P2 = Part2;
I = 3508;
T = 2;
R1 = 14;
R2 = 11;

Ganesh said:   1 decade ago
Someone's tell me how did you get 3508? Please answer me.

Ashwini said:   1 decade ago
How to take rate percentages? Please explain me

Vinoth kumar said:   1 decade ago
Here 3508 is a total interest.

Say 3500. 3500 is approximately 25% of 14000 (13900). So for one year it slightly more than 12.5%. So invest in A (14%) must be more.

So the answer must be less than 6950(13900/2). Two opinion A are B. Now pair up. (6400/7500) or (6500/7400).

Take any one pair find out their simple interest. And then add up both SI which result in 3508 is the answer.

Bala said:   1 decade ago
Any one can solve it two or three line?

King kartik (the king of dewas said:   1 decade ago
Can you answer me at what rate of simple interest will some amount be doubled in 5 years?

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.

Kannan said:   1 decade ago
Hi @Gayathri,

Could you please explain it in your way? Your previous answer seems good.

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.


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