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Mr. Gupta Opened a Recurring Deposit Account in a Bank. He Deposited Rs. 2500 per Month for Two Years. at the Time of Maturity He Got Rs. 67,500. Find: 1) The Total Interest Earned by Mr Gupta. 2) The Rate of Interest per Annum. - ICSE Class 10 - Mathematics

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Question

Mr. Gupta opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity he got Rs. 67,500. Find:

1) the total interest earned by Mr Gupta.

2) the rate of interest per annum.

Solution

1) Monthly instalment = Rs. 2500

n = 24, Amount deposited = 2500 x 24 = Rs. 60000

Maturity value = Rs. 67500

Interest on his deposit = Rs. (67500 – 60000) = Rs. 7500

2) Now Interest = `(n(n+1))/2 xx ("Instalment" xx "Rate")/(100 xx 12)`

`7500 = (24 xx 25)/2 xx (2500 xx "Rate")/(100 xx 12)`

Rate = `(7500 xx 100 xx 24)/(24 xx 25 xx 2500)` = 12% p.a

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Solution Mr. Gupta Opened a Recurring Deposit Account in a Bank. He Deposited Rs. 2500 per Month for Two Years. at the Time of Maturity He Got Rs. 67,500. Find: 1) The Total Interest Earned by Mr Gupta. 2) The Rate of Interest per Annum. Concept: Types of Accounts.
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