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 5 of 12.

Zakir said:   1 decade ago
Good thinking.

Ismail khan said:   1 decade ago
pin/100 + (13900-p)in/100=3508 where p is principle
i is interest rate and n is no.of years
p(28/100)+(13900-p)22/100=3508
28p+13900*22-22p=3508*100
28p-22p+305800=350800
6p=45ooo
p=7500
13900-7500=6400

Renu said:   1 decade ago
Formula is simple interest(S.I)=P*T*R/100;

P=Principal amount or sum
T=Time
R=Interest rate

By using this formula we can solve this.

Swati Alone said:   1 decade ago
Can anyone tell me how to do this answer easily and fast without using pen ?

Pranali said:   1 decade ago
Can someone please explain me the 2nd step 28X-22X = 350800 - (13900x22) how it came?

Rajesh said:   1 decade ago
Assume the amount invested in scheme B be 6400.

Then the amount invested in scheme A is 13900-6400 = 7500.

14% in 7500 = 1050.

For two years (1050*2) = 2100.

11% in 6400 = 704.

For two years (704*2) = 1408.

Adding these two gives (2100 + 1408) = 3508.

Therefore we assumed correctly and the answer is 6400.

Chaitanya said:   1 decade ago
Is we use the formula ptr/100?

Bikash kumar said:   1 decade ago
Let the sum invested in Scheme A be Rs. x and that in Scheme B be Rs. (13900 - x).

Then, (X*14*2/100)+{(13900-X)*11*2/100} = 3508.
28x/100 + (13900*22)-(x*22)/100 = 3508.
28x/100 + 305800-22x/100 = 3508.
28x+305800-22x/100 = 3508.

Now,
28x+305800-22x=3508*100.
28x-22x=350800-305800.
6x=45000.
x=45000/6.
x=7500.

So, sum invested in Scheme B = Rs. (13900 - 7500) = Rs. 6400.

Sameth said:   1 decade ago
What is Rs. Stand for?

MANI SMART said:   1 decade ago
The formula is (pnr/100).

p=inicial amount,
n=no of years,
r=rate of interest


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