Question

ms Sarkar opened a cumulative deposit account of monthly installment of rupees 200 at 9% per annum simple interest. she earned a total interest of rupees 1764 how many installment does she pay​

Answer 1

Step-by-step explanation:

Given ms Sarkar opened a cumulative deposit account of monthly installment of rupees 200 at 9% per annum simple interest. she earned a total interest of rupees 1764 how many installment does she pay​

• Given cumulative deposit per month = Rs 200
• Rate of interest R = 9
• Interest amount = Rs 1767
• Money deposited = Monthly value x number of months
•                               = 200 x n
•                              = Rs 200 n
• Now principal for one month = 200 x n(n + 1) / 2
•                                                  = 100 n^2 + 100 n
• Interest will be = Principal for one month x R / 12 x 100
•    1767  = (100 n^2 + 100 n) x 9 / 1200
• 1767 = 0.75 n^2 + 0.75 n
• Or 0.75n^2 + 0.755n – 1767 = 0
• We have n = - b + - √b^2 – 4ac / 2a
•                  = - 0.75 + - √0.5625 + 5301 / 1.5
•                 = 72.06 / 1.5
• Or n = 48.04 months

Therefore she paid 48 installments.

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