Question

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

$\bf \underline{Given} \\ \: \: \: \: \: \: \: \: \: \sf \bullet \: 60 \% \: people \: like \: cricket. \\ \: \: \: \: \: \: \: \: \: \sf \bullet 30 \% \: people \: like \: football. \\ \: \: \: \: \: \: \: \: \: \sf \bullet \: Remaining \: </p><p>people\: like \: other \: games.$

$\\ \bf \underline{ To \: Find} \\ \: \: \: \: \sf \: \: \: \: \: \bullet \: Percentage \: of \: people \: \\ \: \: \: \: \: \: \: \: \: \: \sf \: who \: like \: other \: games. \\ \: \: \: \: \: \: \: \: \: \sf \bullet \: Exact \: number \: of \: people \: who \: like \: \\ \: \: \: \: \: \: \: \: \: \sf \: each \: type \: of \: game.$

$\\ \\ \bf \underline{Solution} \\ \sf \large\implies \: = 100 - (60 + 30) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = 100 - 90 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = 10 \% \\ \\ \therefore \sf \underline{10 \% \: people \: like \: other \: games}.$

$\\ \large \implies \sf 60 \% \: of \: 50 \: lakh, \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{60}{100} \times 5000000 \\ \sf \: \: \: \: \: \: \: \: \: \: \: \small \boxed {\boxed {\tt \blue {= 3000000 }}}$

$\\ \therefore\sf \underline{ 3000000 \: people \: likes \: cricket \: to \: play.}\\ \\ \\ \large \implies \sf \: 30 \% \: of \: 50 lakh, \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf = \frac{30}{100} \times 5000000 \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \small \boxed {\boxed {\tt \blue {= 1500000 }}}$

$\\ \sf\therefore\underline{1500000 \: people \: likes \: football \: to \: play}. \\ \\ \\ \large \implies \sf \: 10 \% \: of \: 50 lakh, \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{10}{100} \times 5000000 \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \small \boxed {\boxed {\tt \blue {= 500000 }}} \\ \\ \therefore \sf \underline{500000 \: people \: like \: to \: play \: other \: games}.$

Answer 2

Given :

• Percentage of People who like cricket = 60%
• Percentage of People who like football = 30%
• Total number of people = 50 lakh

To Find :

• Find the exact number who like each type of game.

Procedure :

Percentage of people who like other games.

$\dashrightarrow\:$ Total percent - Percent liking cricket - percent liking football

$\dashrightarrow\:$ 100% - 60% - 30%

$\dashrightarrow\:$ 100 % - 90%

$\dashrightarrow\:$ 10 %

Therefore, 10% of people like other games.

$\boxed{\begin{array}{cccc}\sf Game&\sf Percentage\:of\:people \:like \:the \:games &\sf Percentage \times total people\\\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad}{}&\frac{\qquad \qquad \qquad \qquad\qquad}{}\\\sf Football&\sf 30\%&\sf \dfrac{30}{100} \times 50 = 15 \:lakh \\\\\sf Cricket &\sf 60\%&\sf \dfrac{60}{100} \times 50 = 30 \:lakhs \\\\\sf Other \:games &\sf 10\%&\sf \dfrac{10}{100} \times 50 = 5\: lakhs\end{array}}$

Therefore,

• 30 lakh people like cricket.

• 15 lakh people like football.

• 5 lakh people like other games.