Question

if sum of rs. 9000 is paid off in 15 instalment such that each instalment is paid in rs.50 more than the preceding instalment. calculate the valur of first installment (solve by AP method)​

Answer 1

Given,

Sum = Rs. 9000

Number of money submissions = 15

Each money submission is Rs. 50 than preceding money submission.

To find,

The value of first money submission.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we can use AP series formula.

Number of terms (n) = 15

Sum = 9000

Common difference (d) = 50

First money submission = Let, a

Now,

Sum of AP = n/2[2a+(n-1)d] = 15/2[2a+(15-1)×50] = 15/2 × (2a+700) = 15/2 × 2(a+350) = 15a+5250

According to the data mentioned in the question,

15a+5250 = 9000

15a = 3750

a = 250

Hence, the first money submission was Rs. 250