Math, asked by rgarg9690, 10 months ago

A cricket team won 75% of the matches. If the number of matches lost by them is 20,find the total number of matches played by them.​

Answers

Answered by AbhimanyuPaul
5

Answer:

Let the total no. of matches be x.

Therefore, no. of matches won= 75% of x i.e

 \frac{3x}{4}

Total matches lost =20 (given)

A.T.Q

 \frac{3x}{4}  + 20 = x

 =>  \frac{3x + 80}{4}  = x

 =>3x + 80 = 4x

Therefore,

x = 80

So total matches played are 80.

Answered by Mihir1001
3

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<font color="blue" size="5px"><b>Answer:</b></font>

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\huge\boxed{\fcolorbox{red}{#ffdfff}{total no. of matches = 80 matches}}

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<font color="red" size="5px"><b>Step-by-step-explaination:</b></font>

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let the total number of matches played by the cricket team be x matches.

Now, percentage of matches won = 75% . . . . . . . [given]

 \therefore  \: , \: percentage of matches lost = (100 - winning percentage) = (100 - 75)% = 25 %

Now, number of matches lost = 20 matches . . . . . . . [given]

 \therefore A/Q ,

25\% \: of \: x = 20

 \implies  \frac{25}{100}  \times x = 20

 \implies x = 20 \times  \frac{100}{25}

 \implies x = 20 \times  \frac{4 \times 25}{25}

 \implies x = 20 \times  \frac{4 \times 1}{1}

 \implies x = 20 \times 4

 \implies x = 80

Hence, total number of matches played = 80 matches

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