A loan of 10000 is to be paid back in 30 equal installment. The amount...
Calculation of Installment
To calculate the installment, we need to first calculate the total amount to be repaid at the end of 30 equal installments. The formula for calculating the total amount to be repaid is:
Total amount = Principal + (Principal * Rate of Interest * Time)
Where,
Principal = 10000
Rate of Interest = 4% per annum
Time = 30 months
Using the above formula, we get:
Total amount = 10000 + (10000 * 4/100 * 30/12) = 11200
Therefore, the total amount to be repaid at the end of 30 equal installments is 11200.
Calculation of Monthly Installment
To calculate the monthly installment, we need to divide the total amount to be repaid by the number of installments. Therefore,
Monthly installment = Total amount / Number of installments
Where,
Total amount = 11200
Number of installments = 30
Using the above formula, we get:
Monthly installment = 11200 / 30 = 373.33
Therefore, the monthly installment to cover the principal and at 4% p.a C.I is Rs. 373.33.
Explanation
The loan of Rs. 10000 is to be paid back in 30 equal installments. Each installment will cover the principal amount and the interest charged on it. The rate of interest is 4% per annum compounded annually. Therefore, to calculate the total amount to be repaid, we use the formula Total amount = Principal + (Principal * Rate of Interest * Time). Once we have calculated the total amount to be repaid, we can calculate the monthly installment by dividing the total amount by the number of installments. This installment will cover both the principal amount and the interest charged on it.