Step-by-step explanation:
difference = P × ( r/100)^2
150 = P × (4/100)^2
P *= 150 × 625
= 93,750
Author:
ryanngxdj
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10We first find the simple interest and compound interest assuming the principal to be Rs. x. Then, find the difference between S.I. and C.I. Taking this difference for Rs. x we can find the principal.
Let the principal P=Rs. x,R=4% and N=2 years.
Simple interest,
I=
100
P×N×R
=
100
x×2×4
=Rs.
100
8x
Now compound interest is
A=P(1+
100
R
)
n
=x(1+
100
4
)
2
=x(1.04)
2
=(1.0816)x Rs.
Hence the compound interest =1.0816x−x=0.0816x.
Now, C.I. - S.I. =0.0816x−
100
8x
=
100
8.16x−8x
=
100
0.16x
The difference in CI and SI is Rs. 0.16 when the principal is Rs. x.
But the difference is Rs. 36 then the principal is x=
0.16
100
×36=22,500. Thus the principal is Rs. 22,500
Author:
gamsovbf
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