Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 5)
5.
Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest?
3.6
6
18
Cannot be determined
None of these
Answer: Option
Explanation:

Let rate = R% and time = R years.

Then, 1200 x R x R = 432
100

12R2 = 432

R2 = 36

R = 6.

Video Explanation: https://youtu.be/TjjI4iRkzT0

Discussion:
62 comments Page 2 of 7.

Bhargav said:   5 years ago
I got the answer 18, can anyone please explain?
(2)

Dunoo Michael said:   4 years ago
Looking at the question,

R = sI * 100/p * T.
R * R = 432*100/ 1200,
R * R = 36,
R = 6.
(2)

Ashima Singh said:   8 years ago
See the solution is:

Principle is-1200
Time:?
Rate :
Simple interest:432

Now we have to find Rate,
Now apply rate formula.
R=100/txsimple interest /principle.
R=100/t x 432/1200.
R=43200/1200.
R=6years.
(1)

Anoms said:   9 years ago
Here in question they have mentioned that "interest is as many years of time of end period" so we have to take R = T.

Yousuf Mayuri said:   9 years ago
If Reena took Rs. 1200.

SI = P * R * T/100.

She paid of Rs. 432 at the end of the loan period.
Here, rate of interest is directly proportional to time.
P= 1200
SI= 432
R= ?
T=R

Therefore , SI = P * R * T/100.
432= 1200 * R * T=R/100,
432=1200 * R * R/100,
432=1200 * R^2/100,
432= 12 * R^2,
432/12 = R^2,
36 = R^2,

OR
R^ = 36.

Therefore, R = 6 Answer.

Rama said:   9 years ago
Why you multiplied R 2 times?

Mukesh said:   9 years ago
How can you say that?

Time (R) = Rate of Interest (R).

It may be different.

Mahesh Babu said:   8 years ago
Here they given simple interest for as many years as the rate of interest.

So time =rate of interest so we take them as y.
They given our principal is Rs.1200,
S.I= P*T*R/100.
Here S.I=R.s 432,
Here Time=rate of interest,
432=1200*y*y/100.
432=12*y*y,
432\12=y*y,
y*y=36,
So y=6.
So Rate of interest =6%.

Anusha said:   8 years ago
How we assume Rate (R) & Time (T) are equal values?

Maleeha said:   8 years ago
I can't be understand how t= r? please help me to solve the question with simple method.


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