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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...

### Tips to Solve Problems on Stocks and Shares

1.Stock-capital: The total amount needed to run the company is called the stock-capital 2.Shares or stock: The whole capital is divided into small units, called shares or stock. For each investment, the company issues a share-certificate, showing the value of each share and the number of shares held by a person. The person who subscribers in shares or ...

### Tips to Solve Problems on True Discount

Suppose a man has to pay Rs.156 after 4 years and the rate of interest is 14% per annum. Clearly, Rs. 100 at 14% will amount to Rs. 156 in 4 years. So, the payment of Rs. 100 now will clear off the debt of Rs.156 due 4 years hence. We say that : Sum due = Rs.156 due 4 years hence; Present Worth (P.W) = Rs. 100; True Discount (T.D) = (Sum due) - (P.W)...

### Tips to Solve Problems on Bankers Discount

Banker's Discount : Suppose a merchant 'A' buys goods worth, say Rs. 10,000 from another merchant 'B' at a credit of say 5 months.Then, B prepares a bill, called the bill of exchange. A signs this bill and allows B to withdraw the amount from his bank account after exactly 5 months. The date exactly after 5 months is called nominally due date. Three da...