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 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;
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.
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.
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.
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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