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Numerical Aptitude (Chapter : Percentage)

‘Per cent’ means ‘per hundred’. It is denoted by % (symbol). Here x% means x per hundred or Thus, any percentage can be converted into an equivalent fraction by dividing it by 100.

eg 20% = 20/100 = 1/5;  150% = 150/100 = 3/2 

Also, any fraction or decimal can be converted into its equivalent percentage by multiplying with 100.

eg 1/5 = (1/5)x100 = 20%; 3/2= 3/2x100 = 150%

Example 1. If the price of tea falls by 12%, by how much per cent must a house holder increase its consumption, so as not to decrease its expenditure on tea?

Solution. (Short cut method)

:: Home Assignment for Practice ::

1. The difference of two numbers is 20% of the larger number. If the smaller number is 20, then the larger number is:

(a) 25
(b) 46
(c) 27
(d) 82

2. When any number is divided by 12, then dividend becomes 1/4th of the other number. By how much percent first number is greater than the second number?

(a) 165
(b) 200
(c) 300
(d) 400

3. If one number is 80% of the other and 4 times the sum of their squares is 656, then the numbers are:

(a) 6,8
(b) 8, 10
(c) 16, 20
(d) 10, 15

4. Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

(a) 1 : 2
(b) 3 : 1
(c) 3 : 4
(d) 4 : 3

5. Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

(a) 57%
(b) 77%
(c) 80%
(d) 90%

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