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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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प्रश्न

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withdrawn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.

 

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उत्तर

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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