## TEST OF QUANTITATIVE APTITUDE

The Quantitative Aptitude  Section of Success Bureau Study Material covers the complete syllabus and includes  Often Asked Questions

( OAQs)  in the Competitive Examinations .

Hence, you are advised to properly cram the contents .  You should  not waste time in learning out dated  books .

Below is given a small Sample of the Study Material provided to the students .

## Percentage Rule – 1

A Fraction, whose Denominator is 100, is called the Percentage or Rate Percentage and the Numerator of the Fraction is Denoted by % .

For example, 25% means 25 out of 100 This can be expressed  as 25 / 100  =  1/ 4

Similarly, 100%  means 100 / 100 = 1.

## Percentage Rule – 2

(A)    Multiply by 100 if you want to Show a Certain Number in % .

(B)    Divide by 100 if you want to  Remove % Sign from a Certain Number .

Examples :  Q.1      2 / 10 as a rate per cent is  ?

Solution :  2 / 10 x 100 = 20% .

Q.2    3.793 as a rate per cent is  ?

Solution : 3.793 x 100 = 379.3 %

Q.3     20% =  ?

Solution :  20 / 100 = 1 / 5

Q.4    3.768 % =  ?

Solution :  3.768 / 100 = 0.03768

## Percentage Rule – 3

In Competitive Examinations, the Questions Based on the Following Relationship of A, B and C, are Often Asked :

[wptb id=30263]

In such problems, You  are  required to find out the Value of Any of the Three ( i.e. A, B or C ) on the basis of the Given Values of any Two .

These Problems can be Easily Solved in the following way  :

[wptb id=30266]

Examples :  Q.1   Find out the value of X if X % of 200 is equal to 50 .

Solution :    X = 50 x 100 / 200 = 25

Q.2   20 is what % of 80 or X % of 80 is 20 ?

Solution  :  X = 20 x 100 / 80 = 25 %

Q.3       40% of 600 is equal to what ?

Solution :    Suppose, 40% of 600 = X .  Hence , X = 40 x 600 / 100 = 240

Memories the following relationships given in the Chart below. It will help you in solving  the percentage questions quickly  :

CHART-1

[wptb id=30271]

From the above chart we can see that for obtaining 5% of a certain number, we have to divide the number by 20 and so on .

[wptb id=30275]

Examples :

Q.1      5% of 80 = ?

Solution  : 80 x 1/20 = 4

Q.2       20% of 400 = ?

Solution  : 400 x 1/5 = 80

Q.3   35% of 900 = ?

Solution  :  900 x 7/20 = 315

Q.4   12.5% of 200 = ?

Solution  :  200 X 1/8  = 25

Q.5. Two numbers are respectively 20% and 40% more than a third number. What is the ratio of the two numbers ?

Solution :  Suppose the third number is 100 .

Hence, the Ist and IInd numbers would naturally be 120 and 140 respectively. Ratio = 120 : 140 = 6 : 7.

Q.6. A Regiment lost in an engagement 25% of its men and still had 300 men left . What was the original number of men in the regiment ?

Solution :  75% ( or 3/4th ) of original men    =  300   .   Hence , Original men = 300 x 4/3   =  400

Q.7. The number of seats for admission for a vocational course is increased by 15% every year. If the number of students in 2017 is 800, what is the expected number of students in 2019 ?

Solution :  The no. of seats increases by 15% ever year.       So,   800 x 115 / 100 x 115 / 100  =  1058

Q.8. 30% of A’ s salary is equal to the 20% of 3/5th of B’ s salary. If B’s salary is Rs. 24,000/- , what is A’s salary ?

Solution :         Suppose A’s salary is  Rs. X.

Then, 3X / 10 = 1 / 5 x 3 / 5 x 24000/-       ( 30% = 3/10  ,  20% = 1/5 )      Or      X = Rs. 9600/-

Q.9. In a library, 40% of the total number of books are in English, 80% of the rest in Hindi and the balance 300 books are in other languages. What is the total number of books in the library ?

Solution  : Suppose total number of books = X

Hence, 40% of  X + 80% of ( X – 40% ) + 300 = X  Or 2X / 5 + 4 / 5 ( X – 2X / 5 ) + 300 = X  Or    X = 2500

Q.10. After deducting 20% from a certain sum and then 25% from the remainder, there are Rs.1200/- left .  Find the original sum .

Solution : Suppose the original sum was Rs. X.   After deducting 20%, 80% of X is left .

Then after deducting 25% of the remainder 75% of it would be left which is equal to Rs. 1200/-

The whole process can be shown like this : 4X / 5 x 3 / 4 = 1200  ( 80% = 4 / 5 , 75%  = 3 / 4

Or    X  =  Rs. 2000

## Special Note

The Quantitative Aptitude  Section of Success Bureau Study Material covers  complete syllabus and includes  Often Asked Questions ( OAQs )  in the Competitive Examinations .

Hence, you are advised to properly cram the contents .  You should  not waste time in learning out dated  books .

Above is given a small sample of the Study Material provided to the students .