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Question

Aparna has a cumulative deposit in Union bank for 4 years at 9% rate of interest per annum. She receives ₹ 51,607.50 at the time of maturity. Find her monthly installment.


A

Rs 700

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B

Rs 908.26

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C

Rs 800.78

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D

Rs 708.36

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Solution

The correct option is B

Rs 908.26


Let us suppose that the monthly installment is ₹ P

Given that number of years = 4 ; Hence Number of months = 4 x 12 = 48 months

Total Amount deposited = ₹ 48P

Given Rate of Interest = 9%

Interest Earned = P × n×(n+1)2× 12 × r100

= P × 48×(48+1)2× 12 × 11100

= 8.82P

Amount on maturity = Total Money Deposited + Interest

Given Maturity Amount = ₹ 51,607.50

Hence ; 48 P + 8.82 P = ₹ 51,607.50

P = ₹ 908.26


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