5.
Find the compound interest on Rs 60,000 for
9 months at 12% per annum, when the interest
is compounded quarterly.
Answers
Answered by
0
Answer:
Rs.88200
Step-by-step explanation:
A = P ( 1 + R/4 )^4n and C.I. = A – P
Where, P = Principal
R = Rate of interest p.a (per annum i.e annually)
n = number of years.
Here, P = 1400, R = 12% p.a. and n = 3/4 year.
∴ Amount after 3/4 year = P ( 1 + R/4 )^4n
= 1400 x ( 1 + 12/4 )^4 x 3/4
= 1400 x ( 1 + 3)^3
= 1400 x (4 )^3
= 1400 x 64
= Rs. 89600
∴ Compound interest
= 89600– 1400 = Rs.88200
Answered by
0
Given, P= Rs. 16000,r=20% p.a. =20/4=5% per quarter,
Time =9 months=
12
9
years =
12
9
×4quarters =3 quarters
Amount=P(1+
100
R
)
N
∴A=16000(1+
100
5
)
3
=16000×(
20
21
)
3
=16000×
8000
21×21×21
= Rs. 18522
Therefore, C.I. = Rs. 18522− Rs. 16000= Rs. 2522
Time =9 months=
12
9
years =
12
9
×4quarters =3 quarters
Amount=P(1+
100
R
)
N
∴A=16000(1+
100
5
)
3
=16000×(
20
21
)
3
=16000×
8000
21×21×21
= Rs. 18522
Therefore, C.I. = Rs. 18522− Rs. 16000= Rs. 2522
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