Question

the balance money(inRs) after paying 5% of total loan of Rs 1000 every month .does this forms an AP ?

Answer 1

Answer :

Total loan money = Rs . 1000
And Rate of paying = 5%

So ,

Balance money after one month = 1000 - 5% of 1000 = 1000 - $\frac{5\times 1000}{100}$ = 1000 - 50 = Rs. 950

And

Balance money after Second month = 950 - 5% of 950 = 950 - $\frac{5\times 950}{100}$ = 950 - 47.5 = Rs. 902.50


And

Balance money after Third month = 902.50 - 5% of 902.50 = 902.50 - $\frac{5\times 902.50}{100}$ = 902.50 - 45.125 = Rs. 857.375

Now the balance money form an A.P. when ,

Balance money after second month - Balance money after first month = Balance money after Third month - Balance money after Second month

SO, we check

Balance money after second month - Balance money after first month = 902.50 - 950 = - 47.5

And
Balance money after Third month - Balance money after Second month = 857.375 - 902.50 = - 45.125

Now we can see that - 47.5$\ne$ - 45.125

So, we can say that balance money after every month is not in A.P. ( Ans )