The price of a tv set worth Rs 20000 is to be paid in 20 instalments of Rs 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the last instalment covering the interest as well will be:
Question
The price of a tv set worth Rs 20000 is to be paid in 20 instalments of Rs 1000 each. If the rate of interest be 6% per annum, and the first instalment be paid at the time of purchase, then the value of the last instalment covering the interest as well will be:
Solution
The problem is about calculating the value of the last installment which includes the interest. Here are the steps to solve it:
Step 1: Understand the problem The price of the TV is Rs 20000 and it is to be paid in 20 installments of Rs 1000 each. The rate of interest is 6% per annum. The first installment is paid at the time of purchase.
Step 2: Calculate the total amount to be paid without interest The total amount to be paid without interest is Rs 20000 (20 installments of Rs 1000 each).
Step 3: Calculate the total interest The total interest is calculated on the unpaid amount. Since the first installment is paid at the time of purchase, the interest is calculated on the remaining Rs 19000. The interest for the first year is Rs 19000 * 6/100 = Rs 1140.
Step 4: Calculate the value of the last installment The value of the last installment is the sum of the installment amount (Rs 1000) and the interest (Rs 1140). So, the value of the last installment is Rs 1000 + Rs 1140 = Rs 2140.
So, the value of the last installment covering the interest as well will be Rs 2140.
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