Question

ii)
One person borrows rs.4,000 and agrees to repay with a total
interest of
Rs.500 in 10 instalments. Each instalment being less than
the preceding instalment by Rs.
10. What should be the first and the
last instalments ?​

Answer 1

Answer:

first instalment=495

Last instalment=405

Answer 2

Answer:

First installment 495

Last installment 405

Step-by-step explanation:

The formula that will be used will be for n instalments;

S=  n / 2 (2a + ( n-1) d)

Here S is the final value with interest, n the number of instalments, a is the first instalment, putting the values;

4500 = 10 / 2 (2a + (10 -1) (-10))

Solving to find value of a;

A= 495

To find the last instalment, we will use the formula

T =  a + (n-1) d

T = 495 + 9 (-10)

T = 405