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प्रश्न
A savings bank account was opened by Mrs. Roy on 3.7.12 and closed on 31.01.13. The entries in the passbook of Mrs. Roy were as given below:
| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| 3.7.12 | By cash | 690.00 | ||
| 15.7.12 | By cash | 1,153.00 | ||
| 27.8.12 | By Cheque | 2,468.00 | ||
| 30.8.12 | To cash | 946.00 | ||
| 12.9.12 | To Cheque | 1,000.00 | ||
| 20.11.12 | By Cheque | 3,000.00 | ||
| 26.11.12 | By cash | 750.00 | ||
| 28.11.12 | To Cash | 1,570.00 |
(i) By finding the balance on different dates of entries calculate the interest earned by Mrs. Roy, For the period she had this savings bank account, at the rate of 6% p.a.
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of 10.
उत्तर
Balance on 3.7.12 = Rs. 690
Balance on 15.7.12 = Rs. 690 + Rs. 1,153 = Rs. 1,843
Balance on27.8.12 = Rs. 1,843 + Rs. 2,468 = Rs. 4,311
Balance on 30.8.12 = Rs. 4,311 – Rs. 946 = Rs. 3,365
Balance on12.9.12 = Rs. 3,365 – Rs. 1,000 = Rs. 2,365
Balance on 20.11.12 = Rs. 2,365 + Rs. 3,000 = Rs. 5,365
Balance on 26.11.12 = Rs. 5,365 + Rs750 = Rs. 6,115
Balance on28.11.12 = Rs. 6,115 – Rs. 1,570 = Rs. 4,545
(i)
Minimum balance for July = Rs.690
Minimum balance for Aug. = Rs. 1,843
Minimum balance for Sept.= Rs. 2,365
Minimum balance for Oct.= Rs. 2,365
Minimum balance for Nov.= Rs. 2,365
Minimum balance for Dec.= Rs. 4,545
Minimum balance for Jan. = Rs. 0
Total principal = Rs. 14,173
Rate = 6%p.a. and time = `1/12`year .
∴ Interest = `(PxxRxxT)/100 = (14,173 xx6xx1)/(100xx12) = Rs. 70.87`
(ii)
Minimum balance for July = Rs. 690
Minimum balance for Aug. = Rs. 1,840
Minimum balance for Sept.= Rs. 2,370
Minimum balance for Oct.= Rs. 2,370
Minimum balance for Nov.= Rs. 2,370
Minimum balance for Dec.= Rs. 4,550
Minimum balance for Jan. = Rs. 0
Total principal = Rs. 14,190
Rate = 6%p.a. and time =`1/12 `year .
∴ Interest = `(PxxRxxT)/100 = (14,190 xx 6 xx1)/(100xx12) = Rs .70.95`
