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Mr. Mohan Has a Cumulative Deposit Account for 3 Years at 7% Interest Pa. She Receives Rs 8,547 as a Maturity Amount After 3 Years.

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Question

Mr. Mohan has a cumulative deposit account for 3 years at 7% interest pa. She receives Rs 8,547 as a maturity amount after 3 years.
(a) Find the monthly deposit.
(b) Find the total interest receivable after maturity.

Sum
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Solution

Given that cumulative deposit per month = P, Period= 3 years = 36 Months, R=7°/o, Maturity amount =Rs 8,547 

Money deposited = Monthly value x No of Months= P x 36= Rs 36 P 

Total Principal for 1 Month = Rs `("P" xx (36)(36 + 1))/2` = Rs 666 P

Interest= Principal for One month x R/ (12 x 100) ..... ( 1) 

Putting Values in (1), we get  

Rs 8547 - 36 P = `(666 "P" xx 7)/(12 xx 100)`

8547 - 36P = 3.885P 

⇒  P = Rs 214.3 

Interest amount = 8547 - 36 P 

= Rs 832 Interest amount = 832 

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Chapter 2: Banking - Exercise 3.2 [Page 51]

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Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 2 Banking
Exercise 3.2 | Q 6 | Page 51

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