Question

6. If 60% people in a city like cricket, 30% like football and the remaining like other
games, then what per cent of the people like other games? If the total number of
people is 50 lakh, find the exact number who like each type of game.​

Answer 1

Answer:

plz mark it as brainpiest plz

Answer 2

$\color{red}\large\underline{\underline{Question}}$

If 60% people in a city like cricket, 30% like football and the remaining like other

games, then what per cent of the people like other games? If the total number of

people is 50 lakh, find the exact number who like each type of game.

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$\color{purple}\large\underline{\underline{To\:Find:}}$

• The percentage of people who like other games.
• Exact no. of people in different games.

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$\color{blue}\large\underline{\underline{Concept:}}$

If we will add the percentages of cricket and football and subtract it from 100 we will get the percentage of people who like other games.

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$\color{Orange}\large\underline{\underline{Given:}}$

• Percentage of people who like Cricket = $60\%$

• Percentage of people who like Football = $30\%$
• Total no. of people = $50 lakh$

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$\color{green}\large\underline{\underline{Taken:}}$

• Let the percentage of people who like other games be x ..
• Let the no. of people who like cricket be y.
• Let the no. of people who like Football be z.
• Let the no. of people who like other games be s.

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$\color{yellow}\large\underline{\underline{Solution:}}$

$\underline{ATQ}$

$\therefore$100 - (Percentage of people who like Cricket + Percentage of people who like Football) = Percentage of people who like other games.

$\Rightarrow 100\% - (60\% + 30\%) = x$

$\Rightarrow 100\% - 90\% = x$

$\Rightarrow 10\% = x$

${\boxed{\therefore x = 10\%}}$

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$\underline{No.\:of\:people\:who\:like\:cricket}$

$We\:know\:60\% of y = 5000000$

$\Rightarrow 60\% \times y = 5000000$

$\Rightarrow y = 5000000 \times \dfrac{100}</p><p>{60}$

$\Rightarrow y = 5000000 \times \dfrac{10}{6}$

$\Rightarrow y = 8,333,333.33$

${\boxed{\therefore People\:who\: liked\:Cricket\:is\:8,333,333.33.}}$

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$\underline{No.\:of\:people\:who\:like\:football}$

$We\:know\:30\% of z = 8,333,333.33$

$\Rightarrow z = 8,333,333.33 \times \dfrac{100}{30}$

$\Rightarrow z = 8,333,333.33 \times \dfrac{10}{3}$

$\Rightarrow z = 27,777,777.8$

${\boxed{\therefore People\:who\: liked\:Football\:is\:27,777,777.8.}}$

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$\underline{No.\:of\:people\:who\:like\:football}$

$We\:know\:(100 - 10)\% of s = 27,777,777.8$

$\Rightarrow (100 - 10)\% \times s = 27,777,777.8$

$\Rightarrow s = 27,777,777.8 × \dfrac{100}{100 - 10}$

$\Rightarrow s = 27,777,777.8 × \dfrac{10}{9}$

$\Rightarrow s = 5,555,555.56$

${\boxed{\therefore People\:who\: liked\:other\:games\:is\:5,555,555.56}}$

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