17. What sum will become *9724.05 in 2 years if the rate of interest is 10 % compounded half yearly ? O 31000 O 53000 O 37000 O ₹8000
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Class 11
>>Applied Mathematics
>>Basics of financial mathematics
>>Accumulation with simple and compound interest
>>What sum will become Rs 9826 in 18 month
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What sum will become Rs 9826 in 18 months if the rate of interest is 2
2
1
% per annum and the interest is compounded half-yearly?
Medium
Solution
verified
Verified by Toppr
Correct option is A)
r =2
2
1
% =
2
5
%
n =18 months =
2
3
years
When the interest is compounded half
yearly,
A=P(1+
2×100
r
)
n×2
=>9826=P
⎝
⎜
⎜
⎛
1+
2×100
2
5
⎠
⎟
⎟
⎞
2
3
×2
=>9826=P(
80
81
)
3
=>P=Rs 9466.54
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