# 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$$= 100\% – (60+30)\% = 10\%$$

Number of people who like cricket

\begin{align}&= 60\% \;{\rm{ of }}\;50\,{\rm{ lakhs}}\\&= \frac{{{60}}}{{{100}}}{ \times 50,00,000}\\&= 30,00,000\\&= 30\,{\rm{ lakhs}}\end{align}

Number of people who like football

\begin{align}&= {\rm{ }}30\% \,{\rm{ of }}\,50\,{\rm{ lakhs}}\\&= \frac{{{30}}}{{{100}}}{ \times 50,00,000}\\&= 15,00,000\\&= 15\,\rm{ Lakhs}\end{align}

Number of people who like other games

\begin{align}&= 10\% \,{\rm{ of}}\;50 \;{\rm{lakhs}}\\&= \frac{{{10}}}{{{100}}}{ \times 50,00,000}\\&= 5,00,000\\&= 5\;{\rm{lakhs}}\end{align}

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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