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We will discuss here how to solve the problems based on mark-ups and discounts involving sales tax. 1. Ron buys a car for $ 38,400 which includes 10% discount and then 6% sales tax on the marked price

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We will discuss here how to calculate the sales tax in a bill. 1. Jack bought the following electrical items from a shop. Items: Fans Lamps Switches Tubes Electric wire Quantity: 4 2 dozens 5 dozens

Continue reading "Sales Tax in a Bill | How to Calculate the Sales Tax in a Bill | Math Problems"

The calculation of sales tax is very easy as it involves very simple concept of percentage. The government of every country needs money the following: (i) to meet their administrative expenses,

Continue reading "Calculation of Sales Tax | How to Calculate Sales Tax ? | Indirect Taxes "

Practice the questions given in the worksheet on uniform rate of growth and depreciation. 1. The price of a car is $ 300000. The value of the car depreciates by 20% at the end

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Practice the questions given in the worksheet on uniform rate of depreciation. Applying the principle of compound interest, we can find the values, when subjected to uniform rate of growth by the

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Practice the questions given in the worksheet on uniform rate of growth. Applying the principle of compound interest, we can find the values, when subjected to uniform rate of growth by the formula

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We will discuss here about the principle of compound interest in the combination of uniform rate of growth and depreciation. If a quantity P grows at the rate of r1% in the first year

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We will discuss here how to apply the principle of compound interest in the problems of uniform rate of depreciation. If the rate of decrease is uniform, we denote this as uniform decrease

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We will discuss here how to apply the principle of compound interest in the problems of uniform rate of growth or appreciation. The word growth can be used in several ways:

Continue reading "Uniform Rate of Growth |Rapid Growth of Plants or Inflation|Growth of Industries"

Practice the questions given in the worksheet on variable rate of compound interest. If the rates of compound interest for successive years be r1%, r2%, r3%.... then A = P(1 + r1/100)(1 + r2/100) ...

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Practice the questions given in the worksheet on compound interest when interest is compounded half-yearly. When the interest is compounded half-yearly (two times is a year) the,

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Practice the questions given in the worksheet on difference of compound interest and simple interest. Compound interest for 2 years - simple interest for two years. 1. Find the difference between

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We will discuss here how to find the difference of compound interest and simple interest. If the rate of interest per annum is the same under both simple interest and compound interest

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We will learn how to use the formula for calculating the compound interest when interest is compounded quarterly. Computation of compound interest by using growing principal becomes lengthy

Continue reading "Compound Interest when Interest is Compounded Quarterly | Word Problems"

We will learn how to use the formula for calculating the compound interest when interest is compounded half-yearly. Computation of compound interest by using growing principal becomes lengthy

Continue reading "Compound Interest when Interest is Compounded Half-Yearly | Compound Interest"

We will learn how to use the formula for calculating the compound interest when interest is compounded yearly. Computation of compound interest by using growing principal becomes lengthy

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We will discuss here how to use the formula for variable rate of compound interest. When the rate of compound interests for successive/consecutive years are different r1, r2, r3, ..... then

Continue reading "Variable Rate of Compound Interest | Formula of Variable Rate of CI"

Practice the questions given in the worksheet on compound interest with periodic deductions. 1. Jane borrows $ 8,000 at a compound interest rate of 5% per annum. If she repays $ 1,600 at the end

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Practice the questions given in the worksheet on compound interest with growing principal. 1. David invested a sum of $ 14000 for two years at a compound interest rate of 5% per annum.

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We will learn how to calculate the compound interest with growing principal. If the interest which has become due at the end of a certain period (i.e., 1 year, half-year, ect. as given) is not paid

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We will learn how to calculate the compound interest with periodic deductions or additions to the amount. the principal does not remain same always; at the end of every phase, the principal changes.

Continue reading "Compound Interest with Periodic Deductions | Loans and Interest | Math Only Math"

The following steps will help us to solve quadratic equations by factoring: Step I: Clear all the fractions and brackets, if necessary. Step II: transpose all the terms to the left hand side

Continue reading "Quadratic Equations by Factoring | Factoring Quadratics | Quadratic Problems"

Practice the questions given in the worksheet on word problems on quadratic equations by factoring. We know in order to factorize the given quadratic equation we need to break the middle term

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Practice the questions given in the Worksheet on nature of the roots of a quadratic equation. We know the nature of the roots of a quadratic equation depends completely on the value of

Continue reading "Worksheet on Nature of the Roots of a Quadratic Equation | Discriminant"

Interest is of two types, simple interest and compound interest. Simple interest: When interest is calculated on principal amount, that interest called Simple interest. Compound interest

Continue reading "Compound Interest | Compounded Annually | Calculating Compound Interest"

We will learn how to find the area using square paper. Let us take a squared paper and draw any shape. We can find the area covered by that shape by counting the squares. Rules to find area are

Continue reading "Area using Square Paper | Rules to Find Area | Approximate Area of the Figure"

Practice the questions given in the worksheet on quadratic equations by factoring. We know to factorize the quadratic equation we first need to convert the given expression in the standard form

Continue reading "Worksheet on Quadratic Equations by Factoring | Factoring Quadratic Expressions"

We will learn how to solve word problems on quadratic equations by factoring. The product of two numbers is 12. If their sum added to the sum of their squares is 32, find the numbers. Let the numbers

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Practice the questions given in the worksheet on quadratic formula. We know the solutions of the general form of the quadratic equation ax^2 + bx + c = 0 are x =

Continue reading "Worksheet on Quadratic Formula | Solving Using the Quadratic Formula Worksheet"

We will discuss here how to solve the word problems using quadratic formula. We know the roots of the quadratic equation ax^2 + bx + c = 0, where a ≠ 0 can be obtained by using the quadratic formula

Continue reading "Word Problems using Quadratic Formula | Word Problems on Quadratic Equations"

Examining the roots of a quadratic equation means to see the type of its roots i.e., whether they are real or imaginary, rational or irrational, equal or unequal.

Continue reading "Examine the Roots of a Quadratic Equation | Nature of the Roots | Math Only Math"

We will learn how to find the Roots of a quadratic equation. Every quadratic equation gives two values of the unknown variable and these values are called roots of the equation. Let ax^2 + bx + c = 0

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We will discuss here about the methods of solving quadratic equations. The quadratic equations of the form ax^2 + bx + c = 0 is solved by any one of the following two methods by factorization & by

Continue reading "Methods of Solving Quadratic Equations |By Factorization Method|By using Formula"

We will discuss here about some examples on quadratic equations. We know many word problems involving unknown quantities can be translated into quadratic equations in one unknown quantity.

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Many word problems Involving unknown quantities can be translated for solving quadratic equations Methods of solving quadratic equations are discussed here in the following steps. Step I: Denote

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Practice the questions given in the worksheets on digits and numbers. 1. Numbers 1, 2, 3, 4, .........., 248, 249, 250 are multiplied together. The number of zeros at the end of the product

Continue reading "Worksheets on Digits and Numbers | Examples on Digits & Numbers | Answers"

We will discuss here how to solve different types of problems related to digits and numbers. 1. The number of digits in (48^4 × 5^12) is (a) 18 (b) 16 (c) 14 (d) 12

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We will learn how to solve different types of examples on digits and numbers. 1. The sum of a 2-digit number & the number formed by interchanging the digits of the original (2-digit number) number

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We will learn how to solve different types of word problems on digits and numbers. 1. The number of digits used in numbering each page of a book of 150 pages is (a) 342 (b) 348 (c) 328 (d) 322

Continue reading "Word Problems on Digits and Numbers |Digit-Related Problems|Number Digit Problem"

We will learn how to solve different types of problems on digits and numbers. 1. Numbers 1, 2, 3, 4, ........., 98, 99, 100 are multiplied together. The number of zeros at the

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Practice the questions given in the worksheet on divisibility tests. 1. What least positive integral value must be given to * so that the number 541*326 is divisible by 9? (a) 1 (b) 7 (c) 6 (d) 4

Continue reading "Worksheet on Divisibility Tests | Divisibility Rules | Divisibility Worksheet"

Practice the questions given in the worksheet on test of divisibility. 1. The largest natural number which exactly divides the product of any five consecutive natural number is: (a) 6 (b) 12 (c) 24

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We will discuss here about the rules of divisibility tests by 3 and 6 with the help of different types of problems. 1. 325325 is a six-digit number. It is divisible by (a) 7 only (b) 11 only

Continue reading "Divisibility Tests by 3 and 6 |Divisibility Rules for 3 & 6|Math Employment Test"

We will discuss here about the rules of divisibility tests by 8 and 12 with the help of different types of problems. 1. If ‘a’ is a positive perfect square integer, then a(a - 1) is always

Continue reading "Divisibility Tests by 8 and 12 | Divisibility Rules For Numbers 8 and 12"

We will discuss here about the test of divisibility tests with the help of different types of problems. 1. Among common multiples of 15 and 25, the nearest to 500 is (a) 450 (b) 525 (c) 515 (d) 500

Continue reading "Divisibility Tests |Divisibility Rules |Divisibility Tricks|Math Employment Test"

We will discuss here about the rules of divisibility tests by 9 and 11 with the help of different types of problems. 1. What least positive integral value must be given to * so that the number 7654*21

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We will discuss here about some of the problems on quadratic equations

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We will discuss here about some of the general properties of quadratic equation. We know that the general form of quadratic equation is ax^2 + bx + c = 0, where a is the co-efficient of x^2

Continue reading "General Properties of Quadratic Equation | Factorise the Quadratic Expression"

Practice the questions given in the worksheet on formation of quadratic equation in one variable. We need to form a quadratic equation in one variable from a mathematical problem.

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