Math, asked by kainaatkhurshid789, 11 months ago

10. Punam opened a recurring deposit account with Bank of Baroda for 12 years. If the rate
of interest is 6% per annum and the bank pays 11313 on maturity, find how much Punam
deposited each month?​

Answers

Answered by sanjeevk28012
9

Given :

The time period for deposition = t = 12 years

The rate of interest = r = 6% per annum

The maturity amount = Rs 11313

To Find :

The Amount deposited by Punam each month

Solution :

Number of month = n = 12 × 12 = 144

∵   Interest Amount = Principal × \dfrac{n(n+1)}{2} × \dfrac{Rate\times Time}{100}  

                                                                                  were n = number of month

Or, I = P × \dfrac{144(144+1)}{2} × \dfrac{6\times 1}{12\times 100}

Or, I = P×  \dfrac{144(144+1)}{2} × \dfrac{6}{1200}

Or, I = P × \dfrac{144\times 145}{ 2} × \dfrac{6}{1200}

Or, I = P × 52.2

Again

Maturity value = Money deposited × number of months+ Interest

i.e  M.V = P × n + I

Or, Rs 11313 = Rs P × 144 +   P × 52.2

Or,  11313 = 196.2 P

∴           P = \dfrac{11313}{196.2}

i.e Money deposited = P = Rs 57.66

Hence, The Amount of money that Punam deposited each month is Rs 57.66  Answer

Answered by TheBrainyme
25

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