Question

Ex. (2) Ajay sharma repays the borrowed amount of 3,25,000 by paying? 30500
in the first month and then decreases the payment by * 1500 every month. How
long will it take to clear his amount?
Solution : Let the time required to clear the amount be n months. The monthly payment
decreases by 1500. Therefore the payments are in A.P.
First term = a = 30500, d = -1500
Amount = S = 3,25,000
S = 3 [2a+(n-1)d]
3,25,000 = 3 [2 30500+(n-1)d]
[2 x 30500 - 1500n + 1500]
3,25,000 = 30500n - 750n +750n
n
n
n
n
2
...750n2-31250n + 325000 = 0
divide both sides by 250.
3n*-125n+1300=0
3n*-60n-65n+1300=0
3n(n-20) (3n-65)=0
(n-20). (3n-65)=0
n-20=0 or n=65/3=21 2/3
AP is an natural number
n=20
therefore,to clear amount 20 months are needed
( * =square)​

Answer 1

Step-by-step explanation:

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