The difference between CI and SI for 2 years at 10% per annum is rupee 15 What is the Principal
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Answered by
0
The difference between S.I. and C.I. is Rs.144.
⇒ We have T=2years and R=15%.
⇒ P=(S.I.−C.I)×(
R
1
)
T
⇒ P=144×(
15
100
)
2
⇒ P=
9
144×400
∴ P=Rs.6400
Answered by
0
ution
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Let the value of the sum be P.
First let us calculate simple interest obtained in the period of 2 years at rate of 10% per year,
S.I
=
100
P⋅R⋅T
=
100
P⋅10⋅2
=
5
P
=0.2P
Now we will calculate the compound interest gained in the period of 2 years compounded annually at the rate of 10%,
C.I=A−P
=P(1+r)
t
−P
=P((1+0.1)
2
−1)
=P((1.1)
2 −1 2 ) =P(1.1+1)(1.1−1) =P(2.1)(0.1)
=0.21P
Now it is given that the difference between C.I and S.I is equal to Rs. 50. So,
C.I−S.I
0.21P−0.2P
0.01P
P
=50
=50
=50
=Rs. 5000
verified
Verified by Toppr
Let the value of the sum be P.
First let us calculate simple interest obtained in the period of 2 years at rate of 10% per year,
S.I
=
100
P⋅R⋅T
=
100
P⋅10⋅2
=
5
P
=0.2P
Now we will calculate the compound interest gained in the period of 2 years compounded annually at the rate of 10%,
C.I=A−P
=P(1+r)
t
−P
=P((1+0.1)
2
−1)
=P((1.1)
2 −1 2 ) =P(1.1+1)(1.1−1) =P(2.1)(0.1)
=0.21P
Now it is given that the difference between C.I and S.I is equal to Rs. 50. So,
C.I−S.I
0.21P−0.2P
0.01P
P
=50
=50
=50
=Rs. 5000
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