Subjective Type

Anand obtained a loan of $$₹\ 125000$$ from the Allahabad bank for buying computers. The bank charges compound interest at $$8 \%$$ per annum, compounded annually. What amount will he have to pay after $$3$$ years to clear the debt?

Solution

Given:

Present value $$= ₹\ 125000$$
Interest rate $$= 8 \%$$ per annum
Time $$= 3$$ years

To find the amount we have the formula,

Amount $$A = P (1+(\dfrac{1}{100}))^n$$

where $$P$$ is the present value, $$r$$ is the rate of interest, $$n$$ is time in years.

Now substituting the values in above formula we get,

$$\therefore A = 125000 (1 +\dfrac{8}{100})^3$$
$$ A = 125000(108/100)^3$$
$$ A = 125000 × \dfrac{1259712}{1000} $$
$$=\dfrac{1259712}{8}$$
$$\Rightarrow A = ₹\ 157464$$

So, Anand has to pay $$₹\ 157464$$


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