one person borrows rs.4000 and agrees to repay with total interest rs500 in 10 instalment.each instalment being less than the preceding instalment by rs.10 .what should be the first and last instalments?
Answers
1st installment = 496 Rs.
Last installment = 406 Rs.
Given:
Person borrows rs.4000 and agrees to repay with total interest rs 500 in 10 installment.
Each installment being less than the preceding installment by rs.10.
Find:
First and last installments
Explanation:
- Consider 1st installment should be 'x'
- From given data, 2nd installment should be 'x-10'
- 3rd installment should be 'x-20'
- So on 10th installment should be 'x-90'
- Total payment payable of person is = Principle + interest
= 4000+500 =4500
- Sum of installment should be = Total payment payable of person
x+(x-10)+(x-20)+...........(x-90) = 4500
10x - 460 = 4500
10x = 4500 +460
10x = 4960
x = 1st installment = 496 Rs.
Last installment = x-90 = 406 Rs.
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