Aptitude - Simple Interest - Discussion

Discussion Forum : Simple Interest - General Questions (Q.No. 6)
6.
A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest. What is the rate of interest?
3%
4%
5%
6%
None of these
Answer: Option
Explanation:

S.I. = Rs. (15500 - 12500) = Rs. 3000.

Rate = 100 x 3000 % = 6%
12500 x 4

Video Explanation: https://youtu.be/SIcQu1HOmOk

Discussion:
51 comments Page 1 of 6.

Arif said:   1 decade ago
Simple interest = 15, 500-12, 500 = 3000.

So we compare with options which is given:

Simple interest = P*t*r/100;
3000 = 12500*4*?/100;
3000 = 125*4*3.
3000 = 1500 //not equal,then multiply by 2.
3000 = 1500*2.
3000 = 3000.

It means first we take 3% of rate we get 1500 simple interest ,then multiply by 2 means that multiply by 2 with 3% of rate that is 6%.

So, the answer is 6%.

Sujitha said:   7 months ago
Don't take this sum as seriously it's a very easy concept right..

They have already given the principal as 12500 and the amount is 15500.we know about tthe otal amount formula
Sol:

T.A=pricipal - interest.

So , sum and amount are there so we need to find SI only >>>>
15500 - 12500 = int >
3000=int>
N = 4yr.
R=?
Pnr/100=si.
12500 × 4 × R/100 = 3000.
R=6%.
(1)

S.gowthami said:   1 decade ago
In that question we are having 3 rate values,so we substitue one by one values then we get the corrct values.for example:
p=12500
n=4
r=3 or 4 or 5 or 6

If we sub:3
12500*4*3/100=1500
1500+12500=14000,we are not getting the correct amount value then
We sub another,
12500*6*4/100=3000
3000+12500=15500,

Now we got the correct value.

Bombay said:   6 years ago
I = Pin
where I = is the amount of interest
P = present amount
i = rate of interest
n = number of years
If Future Amount is 15500 and
Present amount is 12500. Therefore 3000 is the amount of interest.
F = P + I.
Then;
I = Pin/
3000 = 12500 * 4 years.
i = 0.06 *100.
= 6%.
(2)

Gyanendra parihar said:   1 decade ago
Total amount after 4 year is 15500 and before including interest amount is 12500 thus it is clear the interest is.

15500-12500 = 3000.

If 3000 is 4 year interest than what should be one year interest.
3000/4 = 750.

Now,
12500 is 100 percent than 750 is how many percent of 12500.

(750X12500) /100 = 6%.

Joy Kenny said:   7 years ago
The formula to calculate simple interest is P x R x T / 100.
So, Interest here is 15,500 - 12,500 = 3000.
The principal is 12,500,
Time is 4 years.

Now to calculate the rate of interest use this formula,
3000 = 12500 x r x 4 / 100,
300000 = 50000r,
r = 300000/50000,
r = 6 %.

Ayush said:   7 years ago
Amount Rs.15,500.
The sum Rs.15,500.

Amount = 15,500 it means S.I is 3000 (i.e S.I = Amount - Sum = 15,500 - 12,500=3,000)

3000 is 24% of 12,500 (because 12,500 // 1% = 125 // 3,000/125=24% ).

But 24% is for 4 year.
So we divide 24%/4 and got rate 6% p.a.
(1)

Nive said:   7 years ago
Let me explain guys
12500 is the actual amount after 4 years amount will be 15,500 with simple interest alright so that we need to find what per cent of interest they paid for 12,500.

15,500-12500
3000.

SI = PTR/100.
Si = 100*r/p*t.

100*3000/12500*4,
6%.
(1)

Dozie said:   1 decade ago
S.I per annum = (15500-12500)/4 = 750.

Rate = (S.I*100)/(P*T).

= (750*100)/(12500*4).

= 75000/50000 = 1.5.

Since interest is for four years, multiply by 4, thus; 1.5*4 yrs = 6.

Therefore are (rate) = 6%.

SK SAFIQUR RAHEMAN said:   6 years ago
Amount = Principal+S.I.
=>S.I. = Amount - Principle.
=>S.I.= 15500-12500 = 3000 (S.I. for 4 years).
As S.I. is same in every year,So 1st yr=750.

12500*X/100 = 750.
=>X=750/125= 6%.
(3)


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