4. On a certain sum of money, invested at the rate
of 10 percent per annum compounded annually,
the interest for the first year plus the interest
for the third year is 2,652. Find the sum.
Answers
Answered by
0
Step-by-step explanation:
Let the sum of money=Rs.x
Rate =10% per annum
Amount=P(1+
100
R
)
n
For the first year
Amount=x(1+
100
10
)=
10
11
x
Interest=
10
11
x−x=
10
1
x
For the second year
P=Rs.
10
11
x
Amount=
10
11
x(1+
100
10
)=
100
121
x
For the third year
P=Rs.
100
121
x
Amount=
100
121
(1+
100
10
)=
1000
1331
x
Interest=
1000
1331
x−
100
121
x=
1000
121
x
According to the question
The interest for the first year plus interest for the third year=Rs.2652
⇒
10
1
x+
1000
121
x=2652
⇒0.221x=2652
⇒x=
0.221
2652
⇒x=12000
Answered by
1
ans => x = 12000.
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