in a village 20% of tobacco chewers have oral cancer .80% of people having oral cancers are tobacco chewers.if 30% of population chew tobacco ,what is the percentage of population having oral cancer?
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The answer is 7.5%
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- Let the total population be x.
- Total number of tobacco chewers = 30% of population
=0.3x
- Total number of tobacco chewers having oral cancer =20% of (0.3x)
=.06x
80% of oral cancers are tobacco chewers = 0.06x
⇒80% of oral cancers=0.06x
⇒4/5(Number of people with oral cancer)=0.06x
⇒Number of people with oral cancer=0.06x(5/4)
=.075x
∴Percentage of population having oral cancer=(.075x/x)100
=7.5%
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