what sum invested for 1 and 1/2 years compounded half - yearly at the rate of 4%p.a. amounts to ₹ 1,32,651.
Answers
Answer:
Rs 125000
Step-by-step explanation:
Given : Sum invested for 1 and 1/2 year compounded half yearly at rate of 4% p.a will amount to Rs.132651.
To find : The sum text ?
Solution :
Using compound interest formula,
A=P(1+\frac{r}{100})^tA=P(1+
100
r
)
t
Where, A is the amount A=Rs.132651.
P is the principal
r is the rate of interest 4%.
Rate is compounded half yearly so, r=\frac{4}{2}=2\%r=
2
4
=2%
t is the time t=1 and half year = 3 half year
Time is compounded half yearly t=3 years
Substitute values in the formula,
132651=P(1+\frac{2}{100})^3132651=P(1+
100
2
)
3
132651=P(1+0.02)^3132651=P(1+0.02)
3
132651=P(1.02)^3132651=P(1.02)
3
132651=P(1.061208)132651=P(1.061208)
P=\frac{132651}{1.061208}P=
1.061208
132651
P=125000P=125000
Therefore, The principal value or sum is Rs.125000.
Answer:
The principal value is Rs. 125000
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