MATHEMATICS PERCENTAGE LEARN

What is the meaning of percent?

The terms percent means “for every hundred”. A fraction whose denominator is 100 is called percentage and

the numerator of the fraction is called the rate percent. Thus, when we say a man made a profit of 20 percent

we mean to say that he gained Rs. 20 for every hundred rupees he invested in the business, i.e. 20/100

rupees for each Rupee.

The abbreviation of percent is p.c. and it is generally denoted by %.

Ex.1 84% of a particular total is 630 marks. What is 90% equal to?

(1) 750 (2) 675 (3) 450 (4) 550 (5) None of these

Sol. The required answer is

84

90 × 630 = 675. Answer: (2)

Ex.2 Two numbers are greater than the third number by 25% and 20% respectively. What percent of

first number is the second number?

(1) 92% (2) 94 % (3) 96 % (4) 98 % (5) None of these

Sol. Assume the third number is 100. So the first number is 125 and the second number is 120.

So the required answer is

125

120 × 100 = 96%. Answer: (3)

Basics

(a) Percentage and Fraction Equivalents:

If some one asks you to represent 50% in fractions then what will you do?

Certainly, you will come with the answer

2

1 . What this value actually represents? This is nothing but the

fractional equivalent of the given percentage. From CAT point of view it is very

important for us to mug up fractional equivalent of the percentages.