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What is the compound interest on a sum of 8000 at the rate of 5% per annum coupounded quarterly for 3 months?
Rs100
Rs150
Rs80
Rs120
- To find the compound interest, we use the formula:
$$ A = P \left(1 + \frac{r}{n}\right)^{nt} $$
where:
\( A = \) the future value of the investment/loan, including interest
\( P = 8000, \) the principal investment amount
\( r = 0.05, \) the annual interest rate
\( n = 4, \) the number of times interest applied per year
\( t = 0.25, \) the time the money is invested for in years (3 months = 0.25 years)
- Calculate:
$$ A = 8000 \left(1 + \frac{0.05}{4}\right)^{4 \times 0.25} $$
$$ A = 8000 \left(1 + 0.0125\right)^1 $$
$$ A = 8000 \times 1.0125 = 8100 $$
- Compound Interest = \( A - P = 8100 - 8000 = 100 \)
- Option:1 Rs100 – Correct
- Option 2: Rs150 – Not correct
- Option 3: Rs80 – Not correct
- Option 4: Rs120 – Not correct
By: santosh ProfileResourcesReport error
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