Thursday, 19 December 2024
SIMPLE INTEREST AND ALL ITS ELEMENTS
Simple Interest = (PXRXT)/100
If , principal money is ₹2000, interest rate per annum = 10% & time is 3 years ,find SI and Amount (A).
We know that, SI = PRT/100
So, SI = 2000×10×3/100 = ₹600
Since, Amount (A) = P+ SI
= ₹2000+₹600 = ₹2600
Now , If
SI = PRT/100
Then, P = SIX100/(TR)
Then, R = SIX100/(PT
Then, T = SIX100/PR
If, A = P +SI
Or, A= P+ PRT/100
Or, A = P(1+ RT/100)
Or, A = P( 100+RT)/100
Now, if A = P(100+RT)/100
Verification :
A = 2000(100+10x3/100
A = 2000x(130)/100 = 20x130
Therefore, Amount = ₹2600
Then, PX(100+RT)/100) = A
Or, P = AX100/(100+RT)
Verification:
P= 2600x100/(100+10x3)
P= 2600x100/130
P= 2000
Therefore, Principal = ₹ 2000
if A = P(100+RT)/100
Then,
P(100+RT) /100= A
or P= Ax100/(100+RT)
Or,
(100+RT) = Ax100/P
Or, RT = (Ax100/P)-100
Or, R= {(AX100/P)-100}/T
Verification:
R = {(2600x100/2000-100}/3
Or, R = (2600/20-100)/3
Or, R = (130-100)/3
Or, R = 30/3
Therefore , R = Rate of interest = 10%
Since RT = {(AX100/P)-100}
Then, T = {(Ax100/P)-100}/R
Verification =
Since ,
T = {(AX100/P)-100}/R
Putting respective values in the above formula
T = {(2600x100/2000)-100}/10
Or, T = (2600/20-100)/10
Or, T = (130-100)/10
Or, T = 30/10
Therefore, T = TIME = 3 YEARS
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