kartik purchased a TV set and paid rs.5000 immediately , another rs.5000 after a year and rs.5000 after 2 years and thus became debt free. Find the price od T.V set if the compound interest charged was 3.5% per annum
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Answer:
⇒ Company borrow Rs.10000 i.e. pv=Rs.10000 and I=5%=0.05. A is also given which is Rs.1000
⇒ Present value of annuity regular
⇒ pv=A×[
I×(1+I)
n
(1+I)
n
−1
]
⇒ 10000=1000×[
0.05×(1+0.05)
n
(1+0.05)
n
−1
]
⇒ (1.05)
n
−0.5×(0.5)
n
=1
⇒ (1.05)
n
=2
Taking log both sides
⇒ n=
log1.05
log2
∴ n=14.2years
Step-by-step explanation:
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