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प्रश्न
Sharukh opened a recurring deposit account in a bank and deposited Rs 800 per month for `1 1/2` years. If he recieved Rs 15,084 at the time of maturity, find the rate of interest per annum.
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उत्तर
Monthly deposit (P) = Rs 800
`"n" = 3/2 xx 12` months = 18 months
Maturity value (M.V) = Rs 15084
Now, M.V = P x N + P x `("n"("n" + 1))/(2 xx 12) xx "r"/100`
⇒ 15084 = 800 x 18 + 800 x `(18 xx 19)/24 xx "r"/100`
⇒ 15084 = 14400 + 114r
⇒ 114r = 684
⇒ r = `684/114` = 6%
Thus, the rate of interest per anum is 6%.
संबंधित प्रश्न
A page from the passbook of Asha is given below:
| Date | Particulars | Amount Withdrawn (Dr) Rs P | Amount Deposits (Cr) Rs. P | Balance Rs. P |
| Jan 5 March 7 April 2 April 10 Oct , 6 Dec, 8 |
Balance B/F To Cheque By Cheque By Cheque By Cheque By Cash |
1,200.00
950.00 |
2,300.00
1,700.00
|
3,750.00
|
Complete the passbook and then calculate the interest for the period January to December 5% per annum.
A page from the passbook of Mrs. Rama Bhalla is given below:
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| January 1 | B/F | 2,000.00 | ||
| January 9 | By Cash | 200.00 | 2,200.00 | |
| February 10 | To Cheque | 500.00 | 1,700.00 | |
| February 24 | By Cheque | 300.00 | 2,000.00 | |
| July 29 | To Cheque | 200.00 | 1,800.00 | |
| November 7 | By Cash | 300.00 | 2,100.00 | |
| December 8 | By Cash | 200.00 | 2,300.00 |
Calculate the interest to Mrs. Bhalla for the period from January 2004 to December 2004, at the rate of 5% per annum.
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