Raman took a loan of rupees 130000 from a finance company at the rate of 10percent for 15 months to purchase a motorcycle how much amount will he pay if the interest is calculated compounded annually
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Step-by-step explanation:
Amount formula in compound interest is shown below :
A=P(1+r)^tA=P(1+r)
t
Where,
P = principal amount,
t = number of periods,
r = rate per period
Here the amount of loan, P = 130000,
Annual rate of interest = 10% = 0.1,
So, half yearly rate, r = \frac{0.1}{2}
2
0.1
= 0.05,
Number of months = 15,
∵ half year = 6 months
So, the number of half years = \frac{15}{6}
6
15
,
Thus, the amount of the loan,
A=130000(1+0.05)^{\frac{15}{6}}A=130000(1+0.05)
6
15
=130000(1.05)^\frac{15}{6}=130000(1.05)
6
15
= 146864.42 rupees.
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