Math, asked by somya3828, 9 months ago

mrs beena has a cumulative deposit account of RS 400 per month at 10% per annum simple interest . if she gets Rs 30100 at the time of maturity, find the total time for which the account was held​

Answers

Answered by amitnrw
27

Account was held for 60 months = 5 years

Step-by-step explanation:

Let say account was held  for  n moths

1st Deposit got interest for n months

2nd deposit got for n - 1 months

and last Deposit nth for 1 month

Interest for n months = 400 * (n/12) * 10/100  = 40n/12  = 10n/3

10n/3 , 10(n-1)/3 .............................................+ 10/3

400n is deposited anount  & interest

Sum = 400n  +  (n/2)(10n/3  + 10/3)

= 400n  + 5n²/3  + 5n/3

400n  + 5n²/3  + 5n/3 = 30100

=> 5n² + 1200n + 5n = 90300

=> n² + 241n - 18060 = 0

=> n²  + 301n - 60n - 18060 = 0

=> (n + 301)(n - 60)  =0

=> n = 60

Account was held for 60 months = 5 years

Learn more:

Tanvi has a recurring deposit account in a finance company for 18 ...

https://brainly.in/question/9974725

At six months intervals , A deposited of Rs. 1000 in a savings ...

https://brainly.in/question/13149844

Answered by Ramneek10
6

Answer:

The account was held for 5 years.

Step-by-step explanation:

Refer to the image

Attachments:
Similar questions