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.

Jayesh said:   9 years ago
Anyone know the Shortcut method?

Narender said:   9 years ago
How to use it with alligation?

Nethi pradeep said:   9 years ago
Please explain me in simple method.

Saurabh chavan said:   9 years ago
Please, anybody explain it in a simple way.

Ans seekers said:   9 years ago
Sir, please explain in a simple way.

Chiran said:   9 years ago
Tell me how it became (13900 - x)?

Jayesh said:   9 years ago
Can't we solve it using alligation and mixture?

Because I tried and could not get the answer.

Loja said:   9 years ago
Can anyone explain in a simple way?

Maheswaran said:   9 years ago
Thanks for the solution and explanations.

Azly said:   9 years ago
We can solve this using simultaneous equations. Here we go!

Total interest for 2 years - 3508.
Then for a year - 3508/2 = 1754.
Assume investment in A scheme as x and B as Y.

14/100 * x + 11/100 * y = 1754 --------> 1st eqn
x + y = 13900 -------> 2nd eqn.

Solve this. You will get the answer.


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