Question

Ajay Sharma repays borrowed amount of rupees 325000 by paying 30500 in the first month and then decreases the payment by Rupees 1500 each month how much long it will take to clear the amount solve the question

Answer 1

Answer: It will take 20 month to clear the amount.

Step-by-step explanation:

Since we have given that

Total borrowed amount of money that Ajay repays = Rs. 325000

Amount he paid in the first month = Rs. 30500

Then each month the payment will decrease by Rs. 1500.

So, it becomes Arithmetic Progression:

30500,29000,27500..............

Here, a = Rs. 30500

d = $a_2-a_1=-1500$

We will find the number of terms i.e. number of years it will take to clear the amount .

We will use the formula for "Sum ":

$S_n=\frac{n}{2}(2a+(n-1)d)\\\\325000=\frac{n}{2}(2\times 30500+(n-1)\times -1500)\\\\325000=\frac{n}{2}(61000-1500n+1500)\\\\325000\times 2=n(62500-1500n)\\\\650000=62500n-1500n^2\\\\15n^2-625n+6500=0\\\\3n^2-125n+1300\\\\\text{Using Quadratic formula, we get }\\\\n=\frac{65}{3},20$

so, it will take 20 month to clear the amount as it satisfies the above equation completely.

Answer 2

Answer:

thanks for helping