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 3 of 12.

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?
(1)

Priya said:   6 years ago
How this is calculated? I didn't get please explain it.
(1)

Ajay said:   5 years ago
By using alligation method, we get;

13900/30*14 = 6500.
(1)

Dorji bhai said:   5 years ago
How denominator is getting cancelled while adding? Please explain about it.
(1)

Siva said:   5 years ago
I can't understand. If we use the formula ptr/100, how to identify 'r' in that? Please explain me.
(1)

Venu said:   1 decade ago
Can any one solve this in simple way?

Rajesh said:   1 decade ago
Use the method of alligation.

Suchita said:   1 decade ago
@Rajesh.

Can you please tell me that method.

Vinod said:   1 decade ago
Suppose total simple interest of A & B is 13900*25%(14%+11%) =3475, but in problem total interest for 2 years is 3508, difference amount is Rs.33/-,can some one explain me, why this differnce has come ?

Pp depu said:   1 decade ago
Can some one plese explain me the 2nd step 28X-22X = 350800 - (13900x22) how it came?


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