Ex.8.1 Q6 Comparing Quantities - NCERT Maths Class 8

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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 \(50\) lakhs, find the exact number who like each type of game.

Text Solution

What is known?

Percentage of people who like cricket \(= 60\%\)

Percentage of people who like football \(= 30\%\)

Total number of people: \(50\) lakhs

What is unknown?

Percentage of people like other games

Exact number of people who like the game

Reasoning:

Since the whole is considered as \(100\%,\) percentage of people who like other games is \(100\% – (60+30) \% = 10\%\)

Number of people who like each game can be found using percentage and total number of people.

Steps:

Percentage of people who like other games\( = 100\% – (60+30)\% = 10\%\)

\[\begin{align}\text{Number of people who like cricket}&= 60\% \;{\rm{ of }}\;50\,{\rm{ lakhs}}\\&= \frac{{{60}}}{{{100}}}{ \times 50,00,000}\\&= 30,00,000\\&= 30\,{\rm{ lakhs}}\end{align}\]

\[\begin{align}\text{Number of people who like football}&= {\rm{ }}30\% \,{\rm{ of }}\,50\,{\rm{ lakhs}}\\&= \frac{{{30}}}{{{100}}}{ \times 50,00,000}\\&= 15,00,000\\&= 15\,\rm{ Lakhs}\end{align}\]

\[\begin{align}\text{Number of people who like other games}&= 10\% \,{\rm{ of}}\;50 \;{\rm{lakhs}}\\&= \frac{{{10}}}{{{100}}}{ \times 50,00,000}\\&= 5,00,000\\&= 5\;{\rm{lakhs}}\end{align}\]

Hence the Answer is:

Percentage of people who like other games \(= 10\%\)

Number of people who like cricket \(= 30\) lakhs

Number of people who like football \(= 15\) lakhs

Number of people who like other games \(= 5\) lakhs

  
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