Find the compound interest on Rs 160000 for one year at the rate of 20% per annum,

Question:

Find the compound interest on Rs 160000 for one year at the rate of 20% per annum, if the interest is compounded quarterly.

Solution:

Given:

$\mathrm{P}=\mathrm{Rs} 16,000$

$\mathrm{R}=20 \%$ p. a.

$\mathrm{n}=1$ year

We know that:

$\mathrm{A}=\mathrm{P}\left(1+\frac{\mathrm{R}}{400}\right)^{4 \mathrm{n}}$

$=16,000\left(1+\frac{20}{400}\right)^{4}$

$=16,000(1.05)^{4}$

$=\mathrm{Rs} 19,448.1$

Now,

$\mathrm{CI}=\mathrm{A}-\mathrm{P}$

$=\mathrm{Rs} 19,448.1-\mathrm{Rs} 16,000$

$=\mathrm{Rs} 3,448.1$

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