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

1Rs. 212
2Rs. 200
3Rs. 250
4Rs. 225

Answer:- 1

Explanation:-

Solution:

Note : In such type of questions to save your valuable time follow the given below method.

\begin{aligned} Value of installment \\ = \frac{Principal \times 100}{Time \times 100 + (t_{n - 1} + t_{n - 2} . . .1) \times Rate %} \\ Principal  =  Rs . 848 \\ Rate  =  4 % \\ Time  =  4 year \\ Installment \\ = \frac{848 \times 100}{4 \times 100 + (3 + 2 + 1) \times 4} \\ = \frac{848 \times 100}{(400 + 24)} \\ = \frac{848 \times 100}{424} \\ =  Rs . 200 \end{aligned}

$\eqalign{ & {\text{Value of installment}} \cr & {\text{ = }}\frac{{{\text{Principal}} \times {\text{100}}}}{{{\text{Time}} \times {\text{100}} + \left( {{{\text{t}}_{{\text{n - 1}}}} + {{\text{t}}_{{\text{n - 2}}}}...1} \right) \times {\text{Rate}}\% }} \cr & {\text{Principal = Rs}}{\text{. 848}} \cr & {\text{Rate = 4}}\% \cr & {\text{Time = 4 year}} \cr & {\text{Installment}} \cr & {\text{ = }}\frac{{848 \times 100}}{{4 \times 100 + \left( {3 + 2 + 1} \right) \times 4}}{\text{ }} \cr & {\text{ = }}\frac{{848 \times 100}}{{\left( {400 + 24} \right)}}{\text{ }} \cr & = \frac{{848 \times 100}}{{424}} \cr & {\text{ = Rs}}{\text{. 200}} \cr}$