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Mr. S.K. Mishra Had a Savings Bank Account in Punjab National Bank. His Passbook Had the Following Entries:If the Interest is Paid at the Rate of 5% per Annum at the End of September Every Year, - Mathematics

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Question

Mr. S.K. Mishra had a Savings Bank Account in Punjab National Bank. His Passbook had the following entries:

Date Particulars Withdrawals
(in ₹)
Deposits
(in ₹)
Balance
(in ₹)
1998, Jan. 8 By Cash - 500·00 500·00
March 19 To Cheque No. 626 100·00 - 400·00
May 23 By Cheque - 1500·00 1,900·00
July 29 To Withdrawals Slip 200·00 - 1,700·00
Sept 2 By Cash - 1,300·00 3,000·00

If the interest is paid at the rate of 5% per annum at the end of September every year, calculate the amount he will get if he closes the account on October 30, of the same year.

Sum

Solution

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

Month Minimum Balance between 10th day and the last day (in ₹) Qualifying Amount for interest (in ₹)
Jan. `{:(500),(500):}}` 500 x 2 = 1,00
Feb.
March `{:(400),(400),(400):}}` 400 x 3 = 1,200
April
May
June 1,900 1,900
July `{:(1700),(1700):}}` 1,700 x 2 = 3,400
Aug.
Sept. 3,000 3,000
Oct. 00 00
Total   ₹10,500

∴ Principal for one month (i.e., `(1)/(12)`th of the year) = ₹10,500

Rate of interset = 5%
∴ Interest = `(10,500 xx 5 xx (1)/(12))/(100)`
= ₹ 43.75

The amount Mr. Mishra will get on closing the account on October 30 of the same year
= ₹ (3,000 + 43.75)
= ₹ 3,043.75

Note: As the account is closed on October 30, no amount has been shown for this month for interest.

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Chapter 3: Banking - Exercise 2

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ICSE Mathematics [English] Class 10
Chapter 3 Banking
Exercise 2 | Q 10

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