Monica has a C.D. Account in the Union Bank of India and deposited Rs 600 per month .
If the maturity value of this account is Rs 24,930 and the rate of interest is 10% per
annum ; find the time (in years) for which the account was held.
Answers
Answer:
36 mont
Step-by-step explanation:
Given Monica has a C.D. Account in the Union Bank of India and deposited Rs 600 per month . If the maturity value of this account is Rs 24,930 and the rate of interest is 10% per annum ; find the time (in years) for which the account was held.
Given per month deposit = Rs 600
Rate of interest = 10%
number of months = n
So we have I = P x n(n + 1)/2 x 12 x r / 100
I = 600 x n(n + 1) / 24 x 10 / 100
I = 5 n (n + 1) / 2
Given maturity value is 24,930
(600 x n) + 5 n(n + 1) / 2 = 24,930
5 n^2 + 1205 n - 49,860 = 0
n = - b ± √b² - 4 a c /2 a
= - 1205 + √2449225 / 10
n = 360/10
n = 36 months or 3 years
Answer:
3yrs
Step-by-step explanation:
n can't be negative. Therefore the time for which the account was held is 36 months or 3 years.