Co-ordinate Geometry Distance and Section Formula
- Compound Interest as a Repeated Simple Interest Computation with a Growing Principal
- Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
- Use of Formula
- Finding CI from the Relation CI = A – P
- Concept of Circle - Centre, Radius, Diameter, Arc, Sector, Chord, Segment, Semicircle, Circumference, Interior and Exterior, Concentric Circles
- Areas of Sector and Segment of a Circle
- Tangent Properties - If a Line Touches a Circle and from the Point of Contact, a Chord is Drawn, the Angles Between the Tangent and the Chord Are Respectively Equal to the Angles in the Corresponding Alternate Segments
- Tangent Properties - If a Chord and a Tangent Intersect Externally, Then the Product of the Lengths of Segments of the Chord is Equal to the Square of the Length of the Tangent from the Point of Contact to the Point of Intersection
- Tangent to a Circle
- Number of Tangents from a Point on a Circle
- Chord Properties - a Straight Line Drawn from the Center of a Circle to Bisect a Chord Which is Not a Diameter is at Right Angles to the Chord
- Chord Properties - the Perpendicular to a Chord from the Center Bisects the Chord (Without Proof)
- Theorem: Equal chords of a circle are equidistant from the centre.
- Theorem : The Chords of a Circle Which Are Equidistant from the Centre Are Equal.
- Chord Properties - There is One and Only One Circle that Passes Through Three Given Points Not in a Straight Line
- Arc and Chord Properties - the Angle that an Arc of a Circle Subtends at the Center is Double that Which It Subtends at Any Point on the Remaining Part of the Circle
- Theorem: Angles in the Same Segment of a Circle Are Equal.
- Arc and Chord Properties - Angle in a Semi-circle is a Right Angle
- Arc and Chord Properties - If Two Arcs Subtend Equal Angles at the Center, They Are Equal, and Its Converse
- Arc and Chord Properties - If Two Chords Are Equal, They Cut off Equal Arcs, and Its Converse (Without Proof)
- Arc and Chord Properties - If Two Chords Intersect Internally Or Externally Then the Product of the Lengths of the Segments Are Equal
- Cyclic Properties
- Tangent Properties - If Two Circles Touch, the Point of Contact Lies on the Straight Line Joining Their Centers
Shares and Dividends
- Circumscribing and Inscribing a Circle on a Regular Hexagon
- Circumscribing and Inscribing a Circle on a Triangle
- Construction of Tangents to a Circle
- Circumference of a Circle
- Circumscribing and Inscribing Circle on a Quadrilateral
Ratio and Proportion
Gst (Goods and Services Tax)
- Sales Tax, Value Added Tax, and Good and Services Tax
- Computation of Tax
- Concept of Discount
- List Price
- Concepts of Cost Price, Selling Price, Total Cost Price, and Profit and Loss, Discount, Overhead Expenses and GST
- Basic/Cost Price Including Inverse Cases.
- Selling Price
- Goods and Service Tax (Gst)
- Gst Tax Calculation
- Gst Tax Calculation
- Input Tax Credit (Itc)
- Linear Inequations in One Variable
- Solving Algebraically and Writing the Solution in Set Notation Form
- Representation of Solution on the Number Line
- Arithmetic Progression - Finding Their General Term
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Simple Applications of Arithmetic Progression
- Median of Grouped Data
- Graphical Representation of Data as Histograms
- Ogives (Cumulative Frequency Graphs)
- Concepts of Statistics
- Graphical Representation of Data as Histograms
- Graphical Representation of Ogives
- Finding the Mode from the Histogram
- Finding the Mode from the Upper Quartile
- Finding the Mode from the Lower Quartile
- Finding the Median, upper quartile, lower quartile from the Ogive
- Calculation of Lower, Upper, Inter, Semi-Inter Quartile Range
- Concept of Median
- Mean of Grouped Data
- Mean of Ungrouped Data
- Median of Ungrouped Data
- Mode of Ungrouped Data
- Mode of Grouped Data
- Mean of Continuous Distribution
- Geometric Progression - Finding Their General Term.
- Geometric Progression - Finding Sum of Their First ‘N’ Terms
- Simple Applications - Geometric Progression
Co-ordinate Geometry Equation of a Line
- Slope of a Line
- Concept of Slope
- Equation of a Line
- Various Forms of Straight Lines
- General Equation of a Line
- Slope – Intercept Form
- Two - Point Form
- Geometric Understanding of ‘m’ as Slope Or Gradient Or tanθ Where θ Is the Angle the Line Makes with the Positive Direction of the x Axis
- Geometric Understanding of c as the y-intercept Or the Ordinate of the Point Where the Line Intercepts the y Axis Or the Point on the Line Where x=0
- Conditions for Two Lines to Be Parallel Or Perpendicular
- Simple Applications of All Co-ordinate Geometry.
- Computation of interest for a series of months
- Recurring Deposit Accounts:- computation of interest using the formula
Shaalaa.com | Banking Example 1
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.
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.
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.
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|
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 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.
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
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.