Question

"Question 4 A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?

Class 8 Comparing Quantities Page 119"

Answer 1

Percentages:

 A percent Is a fraction with denominator 100. i.e 1/100

Per cent is derived from Latin word ‘per centum’ meaning ‘per hundred’.

It is denoted by % symbol
1% means 1/100= .01

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Solution:

Let the total number of matches be x.

A.T.Q

40% of total matches = 10

 40% of  x = 10

 40/100 * x= 10

2x/5 =10

2x = 10 x 5 =50

2x 50

x = 50/2 =25

  x= 25

Hence ,total number of matches they played are 25. 

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Hope this will help you...

Answer 2

Let the total number of matches played by the team be *X*

Percentage of matches won by the team

=40%

Number of matches won by the team

=10

Therefore,

40% of X = 10

40/100 × X = 10

40 × X = 10 × 100

40 × X = 1,000

X = 1,000/40

X = 25