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Question

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?


Solution

Let the total number of matches played by the football team be $$x$$.
No. of matches won $$=10$$

$$\therefore$$ Win percent $$=\dfrac {\mbox {No. of matches won}}{\mbox {Total no. of matches played}}$$

$$\therefore 40 \% = \dfrac {10}{x}$$

$$\therefore \dfrac {40}{100} = \dfrac {10}{x}$$

$$\therefore x = \dfrac {10 \times 100}{40} = 25$$

The football team played a total of $$25$$ matches.

Mathematics
NCERT
Standard VIII

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