Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 4)
4.
How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest?
3.5 years
4 years
4.5 years
5 years
Answer: Option
Explanation:

Time = 100 x 81 years = 4 years.
450 x 4.5

Video Explanation: https://youtu.be/WdBzN0Sj8jc

Discussion:
65 comments Page 1 of 7.

Sara said:   8 months ago
Why 450 is not considered as the Principal amount?

Anyone, please explain it.
(3)

Gayatri said:   9 months ago
Time = [100× S.I/P×R]yrs.
Here, from the equation
S.I = 81₹.
P. = 450₹
R. = 4.5%.
Time (T) = 100 × 81/450 × 4.5,
= 8100/2025.
=4 yrs.
(10)

Jasminder Singh said:   1 year ago
First, find the how much per cent 81 of 450.
(81/450)*100 = 18%.

After finding 18% then simply divide the 18% with 4.5 interest
(180/45)*100 = 4years.

In simple words, we found that 81 is the 18% of 450.
So by using 4.5 % interest p.a we need to reach 18% by 4.5 + 4.5 + 4.5 + 4.5 = 4 years.
(7)

Mora Nandini said:   2 years ago
The amount was given but they have taken as principal. Why? Can anyone explain to me?
(12)

Muthu said:   2 years ago
450 ÷ 100 * 4.5 = 20.25.
20.25 * 4 = 81.
(8)

Asha said:   2 years ago
Can anyone explain how you got 4 years, in detail?
(8)

Ojoswini Mohanty said:   3 years ago
Anyone, please explain me the formula in detail.
(1)

Anmol kamboj said:   3 years ago
81 = 450 * 4.5*time/100.

81*100= 450 * 4.5 * time.
8100 = 2025 * time.
Time = 8100/2025 = 4 year.
(11)

Dave said:   3 years ago
Simple interest formula.

S.I=(PxRxT)/100 ---------------> (1)
where s.i =simple interest
R=rate %
P=sum or principal
T=year.


Amount = principal + simple interest
A = P + S.I ------------> (2).

From the question.
S.I = 81
Amount =450
R=4,5% P=?
A = P + S.I -----> (2)
450 = P + 81
p=450 - 81 =369 i.e :- P =369

And now using eq(1)


S.I =(P x R xT) / 100.............(1)
81=(369 x 4.5 x T) / 100
T= (81 x 100)/369 x 4.5
T= 4 years.
(51)

Sherab Jatsho said:   3 years ago
Formulae
T= S.I *100÷P*R derives from S.I= PRT/100.
here SI is 81.
And P is 450.
(4)


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