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What equal installment of annual payment will discharge a debt which is due as Rs. 848 at the end of 4 years at 4% per annum simple interest ?

a) Rs. 200
b) Rs. 212
c) Rs. 225
d) Rs. 250

Answer: a
Explanation:
Let the annual installment be Rs. x.
$$ \left[ {x + \left( {\frac{{x \times 3 \times 4}}{{100}}} \right)} \right] + $$     $$\left[ {x + \left( {\frac{{x \times 2 \times 4}}{{100}}} \right)} \right] + $$     $$\left[ {x + \left( {\frac{{x \times 1 \times 4}}{{100}}} \right)} \right] + $$     $$x = 848$$
$$\eqalign{ & \frac{{28x}}{{25}} + \frac{{27x}}{{25}} + \frac{{26x}}{{25}} + x = 848 \cr & 106x = 848 \times 25 \cr & 106x = 21200 \cr & x = 200 \cr} $$

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