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6.If 60% of people in a city like a 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 are 50 lakh, find the exact number who like each type of game.
Answer :

Total number of people = 50,00,000
We have the number of people who like cricket = 60% of 50,00,000

\(\qquad = \frac { 60 }{ 100 } \times 50,00,000\)

\(\qquad = 30,00,000\)

Similarly we have the number of people who like football = 30% of 50,00,000

\(\qquad = \frac { 30 }{ 100 } \times 50,00,000\)

\(\qquad = 15,00,000\)

Hence, the number of people who like other games = 50,00,000 – (30,00,000 + 15,00,000)

\(\qquad\)= 50,00,000 – 45,00,000

\(\qquad\)= 5,00,000

So,the number of people who likes other games=5,00,000 and the percentage of the people who like other games = \(\frac { 500000 }{ 5000000 } \times 100 = 10\)%

Thus, 10% of people like other game.