Page 19 - CITS - WCS - Mechanical

WORKSHOP CALCULATION - CITS

EXERCISE 3 : Percentage

Definition, changing percentage to decimal and fraction and vice versa. Applied problems related to trade.
Estimation and cost of product.

In mathematics, a percentage is a number or ratio that’s represent a fraction of 100. This is one of the ways to
indicate a dimensionless relationship between two numbers; other methods include ratios, fractions, and decimals.
Percentages are often denoted by the symbol “%” written after the number.
Examples of percentages are
• 10% is equal to 1/10 fraction
• 20% is equivalent to / fraction
1
5
• 25% is equivalent to ¼ fraction
• 50% is equivalent to ½ fraction
• 60% is equivalent to / fraction
3
5
• 75% is equivalent to ¾ fraction
• 90% is equivalent to / fraction
9
10
Percentages don’t have dimension. Hence it is called a dimensionless number. If we say, 30% of a number, then
it means 30 percent of its whole.
Percentages can also be performed decimal or fraction form, such as 0.6%, 0.25%, etc.
1 A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he
make by running between the wickets?
a 45%
b 5
45 % = Ans
11

c 6
54 %
11
d 55%

2 Two students appeared at an examination. One of them secured 9 marks more than the other and his marks
was 56% of the sum of their marks. The marks obtained by them are:
a 39, 30

b 41, 32
c 42, 33 = Ans
d 3, 34
3 The population of a town increased from 1,75,000 in a decade. The average percent increase of population
per year is:

a 4.37%
b 5% = Ans
c 6%
d 8.75%

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