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.

Aditya said:   7 years ago
In question, it is clearly mentioned that as many years as the rate of interest. Means if the year is 6 then rate will be also 6 if the year is 5 then rate is same 5 so we take R or x for both Rate and Time.

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)

Avana said:   9 years ago
So how about making T = x.
It will reach in a point of,
36 = r * x.
In order to make one as subject take the two latter as square and it will lead into 6.
r = 6,
x = 6,
r * x = 36,
6 * 6 = 36.

Bhavya Y J said:   2 decades ago
While traveling at uniform speed. U read a two digit no. after one hr the number is reversed order. After another hour the number read is same two digit number. What is the average speed?

Arif said:   1 decade ago
@Tejas.

According to question Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest.

It means rate of interest and time duration both are equal.

Teja said:   9 years ago
@All.
First I too confused each subject has its own style of language. Here in the problem itself said r = t and asked interest so r placed here if they ask time means T-square.

Gaurav said:   1 decade ago
Can anyone solve this, by using the following formula,

S.I=P*N*R/100,

where, S.I=Simple Interest,
P=Principal Amount.
N= Period of time.
and, R= Rate of Interest.

Swa said:   9 years ago
R = 100 * si/p * t.
R^2 = 100 * 432/1200.
So 36, Here we are not taking T. Simply we took R as square because R = T.

Rajesh said:   1 decade ago
Assume 6 as time and rate of interest.

Then 6% of 1200 is 72.

For six years means (72*6) = 432.

Hence our assumption is correct and 6 is the answer.

Sakshi said:   1 decade ago
You are right Ppp.
We can also take x.
according to the question R=T.we can take R=T=x
R= S.I*100/P*T
x=432*100/1200*x
x to the power square =36; x= 6


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