What annual instalment will discharge a debit of Rs. 5,664 in 4 years at 12% simple interest?

Total debt (Principal) = Rs. 5,664

Interest rate (R) = 12% per annum

Time (T) = 4 years

The installments are paid annually.

Formula for instalment on simple interest is:

Equal instalment = $$\frac{ A \times 200}{T[200+(T-1)\times r]}$$​​

Where:

A is the amount after T years.

r is the annual interest rate.

T is the number of years.

Putting the values in the Formula; 

Installment = 

​$$\frac{ 5664 \times 200}{4[200+(4-1)\times 12]} \\ \ \\\frac{ 5664 \times 200}{4 \times236} \\ \ \\ \frac{ 5664 \times 200}{4 \times236} = 1200$$​​

Alternate Method:
Instalment Amount
100 100
100 112
100 124
100 136
400 472
Required result = 472 ..... 5664 

than 400 ........ $$\frac{5664}{472}\times 400 = 4800$$ 

Now , the installment is in 4 equal part = $$\frac{4800}{4} = 1200$$​​