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?
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.
VinithaGopal said:
10 years ago
How this 28x-22x = 350800-(13900 x 22) came ? Please somebody explain!
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?
Guru said:
9 years ago
Any other easy way to solve immediately.
Lavanya said:
9 years ago
Any other easy way to solve immediately.
And wish formula use.
And wish formula use.
Suvas said:
9 years ago
How you got 3508?
Nagaraju said:
9 years ago
Here why we had taken (13900 - x)?
Please, can anyone explain it in detail?
Please, can anyone explain it in detail?
Ashok said:
9 years ago
It can simply solve like this using allegation concept as;
Total amount can be given in 2 types of interests as one A is @14% & B is @11%.
He gets average in totally 2 years is given 3508/2 = 1754.
Its mean % is 1754/13900 = 12.6%.
Apply Allegation principle on interests.
Then, we get;
-> A : B.
-> 8 : 7.
Totally we have 15 parts = 13900
We require the amount invested in Scheme:
B = 7/15 * 13900.
=> 6486 (approx).
Total amount can be given in 2 types of interests as one A is @14% & B is @11%.
He gets average in totally 2 years is given 3508/2 = 1754.
Its mean % is 1754/13900 = 12.6%.
Apply Allegation principle on interests.
Then, we get;
-> A : B.
-> 8 : 7.
Totally we have 15 parts = 13900
We require the amount invested in Scheme:
B = 7/15 * 13900.
=> 6486 (approx).
Chinnaribunga said:
9 years ago
How it came 45000? I didn't understand this, Please tell me.
Ramesh k said:
9 years ago
Can any one one solve this in simple method?
Sithara prasanth said:
9 years ago
How it can do through allegation.
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