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Mr. Patel Deposit Rs 2,250 per Month in a Recurring Deposit Account for a Period of 3 Years. at the Time of Maturity, He Gets Rs 90,990. - Mathematics

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Question

Mr. Patel deposit Rs 2,250 per month in a recurring deposit account for a period of 3 years. At the time of maturity, he gets Rs 90,990. 

(a) Find the rate of simple interest per annum.
(b) Find the total interest earned by Mr. Patel.

Sum
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Solution

Given that Recurring deposit per month =Rs 2,250, Period= 3 years = 36

Months, R=R0/o, Maturity value =Rs 90,990 

Money deposited= Monthly value x No of Months

=2,250 x 36= Rs 81,000

⇒  Interest that gets for this period =Maturity Value - Amount deposited = 90,990 - 81,000 

=Rs 9,990 

Total Principal for 1 Month = Rs `(2250 xx (36)(36 + 1))/2` = Rs 1498500

9990 = `("R" xx 1498500)/(12 xx 100)`

⇒ R = `(9990 xx 12 xx 100)/1498500`

R = 8 %

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Chapter 3: Banking - Exercise 3.2 [Page 51]

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 3 Banking
Exercise 3.2 | Q 3 | Page 51

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