Chapters
Chapter 2  Banking (Recurring Deposit Account)
Chapter 3  Shares and Dividend
Chapter 4  Linear Inequations (In one variable)
Chapter 5  Quadratic Equations
Chapter 6  Solving (simple) Problems (Based on Quadratic Equations)
Chapter 7  Ratio and Proportion (Including Properties and Uses)
Chapter 8  Remainder and Factor Theorems
Chapter 9  Matrices
Chapter 10  Arithmetic Progression
Chapter 11  Geometric Progression
Chapter 12  Reflection
Chapter 13  Section and MidPoint Formula
Chapter 14  Equation of a Line
Chapter 15  Similarity (With Applications to Maps and Models)
Chapter 16  Loci (Locus and Its Constructions)
Chapter 17  Circles
Chapter 18  Tangents and Intersecting Chords
Chapter 19  Constructions (Circles)
Chapter 20  Cylinder, Cone and Sphere
Chapter 21  Trigonometrical Identities
Chapter 22  Height and Distances
Chapter 23  Graphical Representation
Chapter 24  Measure of Central Tendency(Mean, Median, Quartiles and Mode)
Chapter 25  Probability
Chapter 2  Banking (Recurring Deposit Account)
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Manu opened a savings bank account in the state bank of India on 3rd sept, 12 with Rs. 2,700. He withdrew Rs. 1,200 from the bank on 8th sept, 12 and deposited Rs. 500 on 17th sept, 12. If he did not make any further deposits or withdrawals during this month; find the amount on which he would receive interest for sept, 12.
Geeta opened a savings bank account in a bank on `7^"th"` Nov., 08 and deposited Rs. 750. She withdrew Rs. 200 on `30^"th"` Nov., 08. If no other withdrawal or deposit was made by her during this month; find the amount on which she would receive interest for the month of Nov., 08.
A man opened a savings bank account with a bank on 22nd Feb., 1998 and deposited Rs. 300. He further deposited Rs. 1,500 on 5th march 1998 and withdrew Rs. 500 on 12th April 1998. Assuming that he neither deposited not withdrew any money up to the last day of May 1998; write the amounts on which he would receive interest for:
(i) Feb., 1998 (ii) March, 98 (iii) April, 98 (iv) May, 98
John had a savings bank account in a bank. In the months of april, 97 and May, 97 He had the following entries in his passbook.
Date  Particulars  Withdrawals (In Rs)  Deposits (In Rs)  Balance (In Rs) 
April 1  By Balance  4,600.00  
April 7  By cash  1,200.00  5,800.00  
April 24  To Cheque  800.00  5,000.00  
May 16  By Cheque  2,000.00  7,000.00  
May 29  To Cash  1,500.00  5,500.00 
Find the amounts on which John will get interest for the months of April, 97 and May 97.
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.
The entires in a savings bank passbook are as given below:
Date  Particulars  Particulars Withdrawals (In Rs) 
Deposits (In Rs)  Balance (In Rs) 
01.01.03 01.02.03 12.02.03 05.04.03 15.04.03 09.05.03 04.06.03 
B/F By cash To cheque By Cash To cheque By cash By Cash 
5,000.00 4,250.00 
11,500.00
1,500 1,500 
14,000.00 25.500.00 20,500.00 24,250.00 20,000.00 21,500.00 23,000.00 
Calculate the interest for six months (January to June) at 4% per annum on the minimum balance on or after the tenth day of each month
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.
Mr. Sen has a savings bank account with a post office.
(i) calculate the interest earned by Mr. Sen during the year 2010 at 6.5% per annum payable in December if the entries during the year in his passbook are as given below:
Date  Particulars  Withdrawals (Rs)  Deposits (Rs) 
2.1.10  By cash  250.00  
9.1.10  By Cheque  825.00  
13.3.10  To Cash  325.00  
24.7.10  By Cash  1,237.00  
6.10.10  To Cheque  250.00  
22.12.10  By Cheque  958.00 
(ii) Also, calculate the interest when the principal for every month is taken as the nearest multiple of Rs. 10.
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.
Mrs. Swami had a savings bank account with the state bank of India, from `13^"th"` Feb 09 to 6th August 09. The following table shows the entries in her passbook for the above said periods. Calculate the interest earned by Mrs. Swami on her S.B. Account up to `31^"st"` July 09 at the rate of 5% per annum.
Date  Particulars  Amount Withdrawn (Dr) Rs P  Amount Deposits (Cr) Rs. P  Balance Rs. P 
Feb 13  By Cash  500.00  500.00  
March 3  By cheque  735.00  1,235.00  
March 14  By cheque  1,040.00  2,275.00  
May 10  To cheque  240.00  2.035.00  
May 22  To cash  430.00  1,605.00  
June 19  By cash  780.00  2,385.00  
July 26  To cash  980.00  1,405.00 
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.
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 1^{st} 2006  B/F      1,270 
January 7^{th} 2006  By Cheque    2,310  3,580 
March 9^{th} 2006  To self  2,000    1,580 
March 26^{th} 2006  By cash    6,200  7,780 
June 10^{th} 2006  To Cheque  4,500    3,280 
July 15^{th} 2006  By clearing    2,630  5,910 
October 18^{th} 2006  To Cheque  530    5,380 
October 27^{th} 2006  To self  2,690    2,690 
November 3^{rd} 2006  By cash    1,500  4,190 
December 6^{th} 2006  To cheque  950    3,240 
December 23^{rd} 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.
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`
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 
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 20072008, the other transactions with the bank are given below:
(i) 1505.2007; deposited Rs. 3,700
(ii) 27072007; withdrew Rs. 2,400
(iii) 06092007; withdrew Rs. 1,600
(iv) 18122007; deposited Rs. 4,500
(v) 29012008; Deposited Rs. 1,900
(vi) 23032008; account closed.
Taking the rate of interest as 6% per annum, find the amount that Mr. Verma gets on closing the account.
Mrs. N. Batra has a savings bank account with the Punjab National bank. She had the following transactions (from 1^{st} January, 2007 to 31^{st} December, 2007) with the bank:
(i) 01012007; B/F Rs. 8,764/
(ii) 13032007; deposited Rs. 6,482
(iii) 22062007; withdrew Rs. 4,369
(iv) 09082007; withdrew Rs. 1,333
(v) 24112007; Deposited Rs. 2,158
Calculate the interest the accrured upto 31^{st} 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.
Mrs Kapoor opened a Savings Bank Account in State Bank of India on 9^{th} 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 31^{st} 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.
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Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits Rs 600 per month for 20 months. Calculate the maturity value of this account, if the bank pays interest at the rate of 10% per annum.
Mrs Mathew opened a Recurring Deposit Account in a certain bank and deposited ₹ 640 per month for 4 ½ years. Find the maturity value of this account, if the bank pays interest at the rate of 12% per year.
Each of A and B both opened recurring deposit accounts in a bank. If A deposited Rs 1,200 per month for 3 years and B deposited Rs 1,500 per month for 2 ½ years; find, on maturity, who will get more amount and by how much? The rate of interest paid by the bank is 10% per annum.
Ashish deposits a certain sum of money every month is a Recurring Deposit Account for a period of 12 months. If the bank pays interest at the rate of 11% p.a. and Ashish gets ₹ 12,715 as the maturity value of this account, what sum of money did money did he pay every month?
A man has a Recurring Deposit Account in a bank for 3 1/2 years. If the rate of interest is 12% per annum and the man gets Rs 10,206 on maturity, find the value of monthly instalments.
Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits Rs 140 per month for 4 years. If he gets Rs 8,092 on maturity, find the rate of interest given by the bank.
David opened a Recurring Deposit Account in a bank and deposited Rs 300 per month for two years. If he received Rs 7,725 at the time of maturity, find the rate of interest per annum.
Amit deposited Rs 150 per month in a bank for 8 months under the Recurring Deposit Scheme. What will be the maturity value of his deposits, if the rate of interest is 8% per annum and interest is calculated at the end of every month?
Mrs Geeta deposited Rs 350 per month in a bank for 1 year and 3 months under the Recurring Deposit Scheme. If the maturity value of her deposits is Rs 5,565; find the rate of interest per annum.
A recurring deposit account of Rs 1,200 per month has a maturity value of Rs 12,440. If the rate of interest is 8% and the interest is calculated at the end of every month; find the time (in months) of this Recurring Deposit Account.
Mr Gulati has a Recurring Deposit Account of Rs 300 per month. If the rate of interest is 12% and the maturity value of this account is Rs 8,100; find the time (in years) of this Recurring Deposit Account.
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.
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Given below are the entries in a saving Bank A/C pass book:
Date  Particulars  Withdrawals  Deposits  Balance 
Feb 8 Feb 18 April 12 June 15 July 8 
B/F To self By Cash To Self By Cash 
 Rs. 4,000  Rs. 5,000  
  Rs. 2,230  Rs. 6,000 
Rs. 8,500 4500 6730 1730 7730 
Calculate the interest for 6 months from February to July at 6% per annum.
A page from a passbook of savings bank account is given below:
Date  Particulars  Amount Withdrawn (In Rs) 
Amount Deposits (In Rs) 
Balance (In Rs) 
09.08.1999 11.08.1999 05.10.1999 10.10.1999 27.11.1999 29.11.1999 
By Cash By Cheque To Cheque By Cash By Cheque By Cash 
  12,000  5,000  
10,000 5,000  17,000  3,000 
10,000 15,000 3,000 20,000 15,000 18,000 
The account is closed on 2nd Jan, 2000. Find the amount received, if the rate of interest is 5%
John had a S.B. Account in Bank of Baroda. His passbook had the following entries:
Date  Particulars  Amount Withdrawn (In Rs) 
Amount Deposits (In Rs) 
Balance (In Rs) 
Jan 1, 2000 Jan, 8 Feb 18 May 19 July 15 Oct 7 
By Balance By cash To Cheque By Cash To self By cash 
  10,500  2,400  
 6,000  6,300  3,600 
9,600 15,600 5,100 11,400 9,000 12,600 
On October 30, 2000 John received his transfer order and closed the account. If the amount of interest he received on closing the account on 30th, Oct 2000 is Rs. 310; calculate the rate of interest per annum.
Pramod deposits Rs 600 per month in a Recurring Deposit Account for 4 years. If the rate of interest is 8% per year; calculate the maturity value of his account.
Ritu has a Recurring Deposit Account in a bank and deposits Rs 80 per month for 18 months. Find the rate of interest paid by the bank if the maturity value of the account is Rs 1,554.
The maturity value of an R.D. Account is Rs 16,176. If the monthly instalment is Rs 400 and the rate of interest is 8%; find the time (period) of this R.D Account.
Mr Bajaj needs Rs 30,000 after 2 years. What least money (in multiple of 5) must he deposit every month in a recurring deposit account to get required money after 2 years, the rate of interest being 8% p.a.?
Rishabh has the recurring deposit account in a post office for 3 years at 8% p.a. simple interest. If he gets Rs 9,990 as interest at the time of maturity, find:
1) The monthly instalment.
2) The amount of maturity.
Gopal has a cumulative deposit account and deposits Rs 900 per month for a period of 4 years he gets Rs 52,020 at the time of maturity, find the rate of interest.
Deepa has a 4year recurring deposit account in a bank and deposits Rs 1,800 per month. If she gets Rs 1,08,450 at the time of maturity, find the rate of interest.
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.
Mr Britto deposits a certain sum of money each month in a Recurring Deposit Account of a bank. It the rate of interest is of 8% per annum and Mr Britto gets Rs. 8088 from the bank after 3 years, find the value of his monthly instalment.