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Study Material and Tips

### Tips to Solve Problems on Races and Games

Races : A contest of speed in running, riding, driving, sailing or rowing is called a race. Race Course : The ground or path on which contents are made is called a race course. Starting Point : The point from which a race beigns is known as a starting point. Winning Point or Goal : The point set to bound ...

### Tips to Solve Problems on Area

FUNDAMENTAL CONCEPTS : I. Results on Triangles: 1. Sum of the angles of a triangle is 2. The sum of any two sides of a triangle is greater than the third side. 3. Pythagoras Theorem : In a right - angled triangle, 4. The line joining the mid-point of a side of a triangle to the opposite vert...

### Tips to Solve Problems on Profit and Loss

Selling Price (SP) : The price at which the shopkeeper sells the goods is called the selling price (SP) of the goods sold by the shopkeeper. Profit : If the selling price of an article is more than its cost price, then the dealer (or shopkeeper) makes a profit (or gain) i.e Profit = SP - CP; SP &g...

### Tips to Solve Problems on Logarithms

EXPONENTIAL FUNCTION For every or Here is called as exponential function and it is a finite number for every . LOGARITHM Let a,b be positive real numbers then can be written as e.g, (i) Natura...

### Tips to Solve Problems on Alligation or Mixture

I. Alligation : It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price. II. Mean Price : The cost price of a unit quantity of the mixture is called the mean price. III. Rule of Alligation : Suppose Rs.x per unit be the price of first ingradient mixed wi...