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Question
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| Date Year 2002 | Particulars | Amount Withdrawn (in ₹) |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.
Solution
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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