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Solve each of the following equations by factorization:
`x+1/x=2.5`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`2(x^2 – 6) = 3 ( x – 4)`
Concept: undefined >> undefined
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Solve the following quadratic equations by factorization:
(x + 1) (2x + 8) = (x+7) (x+3)
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`x^2 – (a + b) x + ab = 0`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`(x + 3)^2 – 4(x + 3) – 5 = 0 `
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`4(2x – 3)^2 – (2x – 3) – 14 = 0`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`(3x-2)/(2x-3)=(3x-8)/(x+4)`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`100/x-100/(x+5)=1`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`(x-3)/(x+3 )+(x+3)/(x-3)=2 1/2`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`4/(x+2)-1/(x+3)=4/(2x+1)`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`5/(x - 2) - 3/(x + 6) = 4/x`
Concept: undefined >> undefined
Solve the following quadratic equations by factorization:
`(1 + 1/(x + 1))(1 - 1/(x - 1)) = 7/8`
Concept: undefined >> undefined
A page from the passbook of a savings book account in a particular year is given below:
| Date | Particulars | Debit (In Rs) | Credit (In Rs) | Balance (In Rs) |
| Jan 3 | By cash | 5,000.00 | 5,000.00 | |
| Feb 13 | To self | 500.00 | ||
| March 24 | By cheque | 2,000.00 | ||
| March 31 | By Interest | |||
| May 20 | By cash | 800.00 | ||
| July 7 | To Cheque | 1,400.00 | ||
| July 18 | By cash | 1,600.00 | ||
| Sept 15 | To Cheque | 3,200.00 | ||
| Sept 26 | By Cheque | 2,350.00 |
If the interest is calculated at 6% P.a. and is compounded at the end of march and September at every year, find the interest earned up to 31st march and then after completing all the entries, find the amount that the account holder would have received had he closed the account on 20th October the same year.
Concept: undefined >> undefined
A page from the savings bank account of Mr. Prateek if given below.
| Date | Particulars | Withdrawals (In Rs) | Deposits (In Rs) | Balance (In Rs) |
| January 1st 2006 | B/F | - | - | 1,270 |
| January 7th 2006 | By Cheque | - | 2,310 | 3,580 |
| March 9th 2006 | To self | 2,000 | - | 1,580 |
| March 26th 2006 | By cash | - | 6,200 | 7,780 |
| June 10th 2006 | To Cheque | 4,500 | - | 3,280 |
| July 15th 2006 | By clearing | - | 2,630 | 5,910 |
| October 18th 2006 | To Cheque | 530 | - | 5,380 |
| October 27th 2006 | To self | 2,690 | - | 2,690 |
| November 3rd 2006 | By cash | - | 1,500 | 4,190 |
| December 6th 2006 | To cheque | 950 | - | 3,240 |
| December 23rd 2006 | By Transfer | - | 2,920 | 6,160 |
If h receives Rs. 198 as interest on 1st January, 2007, Find the rate of interest paid by the bank.
Concept: undefined >> undefined
A man holds a savings bank account in the union bank of India. A page of his passbook shows the following entries:
| Date | Particulars | Withdrawals (Rs) | Deposits (Rs) | Balance (Rs) |
| May 1 | B/F | 3,200.00 | ||
| May 6 | By Cheque | 500.00 | 3,700.00 | |
| May 17 | By Cheque | 800.00 | 4,500.00 | |
| June 4 | By Cash | 1,300.00 | 5,800.00 | |
| June 9 | To Cheque | 1,650.00 | 4,150.00 |
Calculate the rate of interest per annum if the total interest earned for the months of May and June is Rs. 39.25`
Concept: undefined >> undefined
A page from the passbook of Mr. Rohit is given below. The interest accrued for the period January to December 2006 at a certain rate of interest per annum is Rs. 377.40. without taking the principal as the nearest multiple of Rs. 10, calculate the rate:
| Date | Particulars | Debit (Rs) | Credit (Rs) | Balance (Rs) |
| 2006 | ||||
| Jan 1 | Balance B/F | 7,500.00 | ||
| March 7 | By Cheque | 1,875.00 | ||
| March 10 | By Cash | 625.00 | ||
| July 17 | To self | 3,250.00 | ||
| Oct 5 | By Cheque | 2,160.00 | ||
| Dec 19 | To Cheque | 1,340.00 |
Concept: undefined >> undefined
Mr. Verma opened a savings bank account with the state bank of India on 5th April 2007 with Rs. 8,500. For the financial year 2007-2008, the other transactions with the bank are given below:
(i) 15-05.2007; deposited Rs. 3,700
(ii) 27-07-2007; withdrew Rs. 2,400
(iii) 06-09-2007; withdrew Rs. 1,600
(iv) 18-12-2007; deposited Rs. 4,500
(v) 29-01-2008; Deposited Rs. 1,900
(vi) 23-03-2008; account closed.
Taking the rate of interest as 6% per annum, find the amount that Mr. Verma gets on closing the account.
Concept: undefined >> undefined
Mrs. N. Batra has a savings bank account with the Punjab National bank. She had the following transactions (from 1st January, 2007 to 31st December, 2007) with the bank:
(i) 01-01-2007; B/F Rs. 8,764/-
(ii) 13-03-2007; deposited Rs. 6,482
(iii) 22-06-2007; withdrew Rs. 4,369
(iv) 09-08-2007; withdrew Rs. 1,333
(v) 24-11-2007; Deposited Rs. 2,158
Calculate the interest the accrured upto 31st December, 2007: if the rate of interest is 5% compounded yearly and the principle for every month is taken as the nearest multiple of Rs.10.
Taking the rate of interest as 6% per annum, find the amount that Mr. verma gets on closing the account.
Concept: undefined >> undefined
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: undefined >> undefined
Calculate the amount and the compound interest for the following:
Rs.13,500 at 10°10 p.a. in 2 years
Concept: undefined >> undefined
