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A Page from the ‘Savings Bank’ Account of Priyanka is Given Below: If the Interest Earned by Priyanka for the Period Ending September 2006 is Rs. 175, the Find the Rate of Interest. - Mathematics

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Question

A page from the ‘Savings Bank’ account of Priyanka is given below:

Date Particulars

Amount
withdrawn

(Rs.)

Amount deposited

(Rs.)

Balance

(Rs.)

03/04/2006 B/F     4000.00
05/04/2006 By cash   2000.00 6000.00
18/04/2006 By cheque   6000.00 12000.00
25/05/2006 By cheque 5000.00   7000.00
30/05/2006 By cash   3000.00 10000.00
20/07/2006 By self 4000.00   6000.00
10/09/2006 By cash   2000.00 8000.00
19/09/2006 To cheque 1000.00   7000.00

If the interest earned by Priyanka for the period ending September 2006 is Rs. 175, the find the rate of interest.

 

Solution

Qualifying principal for various months:

Month Principal
April Rs. 6000
May Rs. 7000
June Rs. 10000
July Rs. 6000
August Rs. 6000
September Rs. 7000
Total Rs. 42000

Here, P= Rs. 42,000

Let R% be the rate of interest and T = `1/12` year

Given that the interest, I  = Rs.175

Now, `I= (PxxRxxT)/100`

`=> 175 = (42000 xx R xx 1)/(100xx 12)`

`=> R = (175xx100xx12)/42000 = 5%`

Thus, the rate of interest is 5%.

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