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A Page of Passbook of Mrs. C. Malik Savings Bank Account in Year 2002 is Given Below:If the Rate of Interest Decreases from 5% to 4% with Effect from June 1st, 2002, Compute the Interest at the End

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प्रश्न

A page of Passbook of Mrs. C. Malik Savings Bank Account in year 2002 is given below:

Date Year 2002 Particulars Amount Withdrawn
(in ₹)
Amount Deposited
(in ₹)
Balance
(in ₹)
Jan. 1 By Balance - - 2,100·00
Jan. 7 By Cash - 1,000·00 3,100·00
Feb. 1  By Cash - 500·00 3,600·00
Feb. 15 To Cheque 2,000·00 - 1,600·00
March 15 By Cash - 2,000·00 3,600·00
March 20 To Cheque 1,000·00 - 2,600·00
June 12 By Cash - 3,000·00 5,600·00
June 28 To Cheque 1,000·00 - 4,600·00
Oct. 15 To Cheque 3,000·00 - 4,600·00
Nov. 5 By Cash - 1,500·00 3,100·00
Dec. 10 By Cash - 500·00 3,600·00
Dec. 20 To Cheque 1,000·00 - 2,600·00

If the rate of interest decreases from 5% to 4% with effect from June 1st, 2002, compute the interest at the end of the year.

योग
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उत्तर

As per entries of the Passbook page of Mrs. C. Malik, we have:

Month Minimum Balance between 10th day and the last day
(in ₹)
Qualifying Amount for interest (in ₹)
Jan. 3,100 3,100
Feb. `{:(1600),(1600):}}` 3,200
March
April `{:(2600),(2600):}}` 5,200
May
June 2,600 2,600
July `{:(4600),(4600),(4600):}}` 13,800
Aug.
Sept.
Oct. 1,600 1,600
Nov. 3,100 3,100
Dec. 2,600 2,600

Qualifying amount for interest at the rate of 5 % = ₹ 11,500.      .....(from January to May)

∴ Interest = ₹`(11,500 xx 5 xx 1)/(100 xx 12) = ₹ 47.92`

Qualifying amount for interest at the rate of 4% = ₹ 23,700.     ...(from June to December)

∴ Interest = ₹`(23,700 xx 4 xx 1)/(100 xx 12) = ₹ 79`

∴ Interest at the end of the year = ₹ 47.92 + ₹ 79 = ₹ 126.92

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