MathematicsA recurring deposit account of Rs.1,200 per month has a maturity value of Rs.12,440. If the rate of interest is 8% and the interest is calculated at the end of every month, find the time (in months) of this Recurring Deposit Account.



A recurring deposit account of Rs.1,200 per month has a maturity value of Rs.12,440. If the rate of interest is 8% and the interest is calculated at the end of every month, find the time (in months) of this Recurring Deposit Account.

  1. A
    6
  2. B
    8
  3. C
    10
  4. D
    12 

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    Solution:

    We will first identify the formula for calculating the total interest.
    S.I. for n month
    S.I. for 1 month
    S.I. for n-1 months 
    Total S.I.=
     We know that,
    P=Rs.1200
    Total amount Deposited= Monthly deposit
    Maturity Value= Rs.12,440
    We have the formula,
    Total S.I.
    Substituting the above values in the formula we get
    Total S.I.
    Total S.I. 
    Maturity Value= Total Deposited Amount + Total Simple Interest.



    To simplify the equation we can divide it throughout by 4.

    On factorization we will get,

    Now, n is no months which cannot be negative.
    Therefore, the acceptable value of n is 10.
    So, option 3 is correct.
     
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