A cumulative deposit account of monthly installment of 3600 at 9 percent per annum simple intrest earns an interest of 17982. find the number of installments paid ?

Given Monthly installment = $Rs 3600$

The amount of interest on each deposit in every month

=  $Rs 3600 \times\frac{9}{100 \times 12} = Rs .27$

If $n$ is the number of deposit made then the total amount on all deposit  $= 27 (n \frac{(n+1)}{2} )$

$= 27 (n \frac{(n+1)}{2} ) = 17982 \\ n(n+1) = 1332 \\ 36 \times 37 = 1332 \\ n= 36$

Hence,  number of installment paid = 36

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