Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 12)
12.
What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?
1 : 3
1 : 4
2 : 3
Data inadequate
None of these
Answer: Option
Explanation:

Let the principal be P and rate of interest be R%.

Required ratio =
P x R x 6
100
= 6PR = 6 = 2 : 3.
P x R x 9
100
9PR 9

Video Explanation: https://youtu.be/GaaEDwTWc6w

Discussion:
16 comments Page 1 of 2.

Riya said:   3 months ago
When the principal and rate of interest are constant, then Simple interest is directly proportional to time.

So, here the answer is 2:3.

Kyomuhendo Marvin said:   2 years ago
We Know,

SI = [(P*R*T)/100].
Lets Assume P = 100, R = 3%.

Therefore,
SI = [(100*3*6)/100) : [(100*3*9)/100].
= 18 : 27.
= 18/27.
= 2:3.
(1)

Aruna said:   2 years ago
@All.

I think there is No change in the rate of interest.

So, 6:9=2:3.

Sulthan shareef said:   3 years ago
PTR/PTR.
PR6/PR9,
PR = 6/9,
PR = 2/3.
P:R = 2:3.

Anomy said:   4 years ago
@Amrik Singh,

The Rate of interest and principal are constant. As time lies, in the numerator of the formula. The interests will be directly proportional to time.
(1)

Karthik said:   4 years ago
Easy way;

Just assume 100 as principle 10 %percetage interest.
So 6years it becomes 160 interest is 60,
9 years it becomes 190 interest 90.
60:90 = 2:3.
(1)

Amrik singh said:   6 years ago
3:2 is correct. Not 2:3 because rate of interest is inversly proportional to time.

Ujju said:   7 years ago
P and R is constant.

Then ratio = t1/t2.

Indramani said:   8 years ago
Answer should be data inadequate. Suppose principal is 100 and we take 5% interest, then after 6yrs it will be 130 and after 9 years it will be 145. Solving this gives 26/29 which is not equal to 2/3.

Prem said:   9 years ago
Yes, Agree with Manoj.


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