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Ahmed has a recurring deposit account in a bank. He deposits Rs. 2,500 per month for 2 years. If he gets Rs. 66,250 at the time of maturity, find
1) The interest paid by the bank
2) The rate of interest
Concept: Mathematics of Recurring Deposit (R.D.)
Mr Choudhury opened a Saving Bank Account at State Bank of India on 1st April 2007. The entries of one year as shown in his passbook are given below.
| Date | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| Ist April 2007 | By Cash | - | 8550.00 | 8550.00 |
| 12th- April 2007 | To Self | 1200.00 | -- | 7350.00 |
| 24th April 2007 | By Cash | - | 4550.00 | 11900.00 |
| 8th July 2007 | By Cheque | - | 1500.00 | 13400.00 |
| 10th Sept. 2007 | By Cheque | - | 3500.00 | 16900.00 |
| 17th Sept. 2007 | By Cheque | 2500.00 | - | 14400.00 |
| 11th Oct. 2007 | By Cash | - | 800.00 | 15200.00 |
| 6th Jan. 2008 | To Self | 2000.00 | - | 13200.00 |
| 9th March 2008 | By Cheque | - | 950.00 | 14150.00 |
If the bank pays interest at the rate of 5% per annum, find the interest paid on 1st April 2008. Give your answer correct to the nearest rupee.
Concept: Mathematics of Recurring Deposit (R.D.)
Mr. Gupta opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity he got Rs. 67,500. Find:
1) the total interest earned by Mr Gupta.
2) the rate of interest per annum.
Concept: Money and Banking in Arithmetic
Mrs Kapoor opened a Savings Bank Account in State Bank of India on 9th January 2008. Her pass book entries for the year 2008 are given below:
| Date | Particulars | Withdrawals (in Rs.) | Deposits (in Rs.) | Balance (in Rs.) |
| Jan 9, 2008 | By Cash | - | 10000 | 10000 |
| Feb 12, 2008 | By Cash | - | 15500 | 25500 |
| April 6, 2008 | To Cheque | 3500 | - | 22000 |
| April 30, 2008 | To Self | 2000 | - | 20000 |
| July 16, 2008 | By Cheque | - | 6500 | 26500 |
| August 4, 2008 | To Self | 5500 | - | 21000 |
| August 20, 2008 | To Cheque | 1200 | - | 19800 |
| Dec. 12, 2008 | By Cash | - | 1700 | 21500 |
Mrs Kapoor closes the account on 31st December 2008. If the bank pays interest at 4% per annum, find the interest Mrs Kapoor receives on closing the account. Give your answer correct to the nearest rupee.
Concept: Mathematics of Recurring Deposit (R.D.)
Rekha opened a recurring deposit account for 20 months. The rate of interest is 9% per annum and Rekha receives Rs. 441 as interest at the time of maturity.
Find the amount Rekha deposited each month.
Concept: Mathematics of Recurring Deposit (R.D.)
Naveen deposits ₹ 800 every month in a recurring deposit account for 6 months. If he receives ₹ 4884 at the time of maturity, then the interest he earns is ______.
Concept: Mathematics of Recurring Deposit (R.D.)
Salman deposits ₹ 1000 every month in a recurring deposit account for 2 years. If he receives ₹ 26000 on maturity, find:
- the total interest Salman earns.
- the rate of interest.
Concept: Mathematics of Recurring Deposit (R.D.)
Suresh has a recurring deposit account in a bank. He deposits ₹ 2000 per month and the bank pays interest at the rate of 8% per annum. If he gets ₹ 1040 as interest at the time of maturity, find in years total time for which the account was held.
Concept: Mathematics of Recurring Deposit (R.D.)
Mr. Sameer has a recurring deposit account and deposits ₹ 600 per month for 2 years. If he gets ₹ 15600 at the time of maturity, find the rate of interest earned by him.
Concept: Mathematics of Recurring Deposit (R.D.)
How much should a man invest in Rs. 50 shares selling at Rs. 60 to obtain an income of Rs. 450, if the rate of dividend declared is 10%. Also find his yield percent, to the nearest whole number.
Concept: Examples based on Shares and Dividends
A man invests Rs. 22,500 in Rs. 50 shares available at 10% discount. If the dividend paid by the company is 12%, calculate:
- The number of shares purchased.
- The annual dividend received.
- The rate of return he gets on his investment. Give your answer correct to the nearest whole number.
Concept: Examples based on Shares and Dividends
Find the values of k for which the quadratic equation 9x2 - 3kx + k = 0 has equal roots.
Concept: Nature of Roots of a Quadratic Equation
If -5 is a root of the quadratic equation 2x2 + px – 15 = 0 and the quadratic equation p(x2 + x)k = 0 has equal roots, find the value of k.
Concept: Nature of Roots of a Quadratic Equation
If (k – 3), (2k + l) and (4k + 3) are three consecutive terms of an A.P., find the value of k.
Concept: Nature of Roots of a Quadratic Equation
Find the value of k for which the following equation has equal roots.
x2 + 4kx + (k2 – k + 2) = 0
Concept: Nature of Roots of a Quadratic Equation
The 4th term of an A.P. is 22, and the 15th term is 66. Find the first term and the common difference. Hence, find the sum of the series to 8 terms.
Concept: Nature of Roots of a Quadratic Equation
Solve for x using the quadratic formula. Write your answer corrected to two significant figures. (x - 1)2 - 3x + 4 = 0
Concept: Nature of Roots of a Quadratic Equation
Solve the following equation:
`x - 18/x = 6` Give your answer correct to two significant figures.
Concept: Nature of Roots of a Quadratic Equation
Without solving the following quadratic equation, find the value of ‘p’ for which the roots are equal.
px2 – 4x + 3 = 0
Concept: Nature of Roots of a Quadratic Equation
If 3 is a root of the quadratic equation x2 – px + 3 = 0 then p is equal to ______.
Concept: Nature of Roots of a Quadratic Equation
