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In a locality the number of residents wh...

In a locality the number of residents who read only the hindu, only the Times of India. Both the newspaers and neither of the newspapers are in the ratio 2:3:4:1 The number of residents who read at least one of these newspapers is 160 more than those who read neither of these newspapers. find the number of residents in the locality.

Text Solution

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Let the number of residents who read only The Hindu be 2x.
`therefore` Number of residents who read the times of India, both the newspapers and neither of the newspapers are 3x,4x and x respectively.
`2x+3x+4x=x+160`
`8x=160rArrx=20`
Number of residents in the locality
`=2x+3x+4x+x=10=200`.
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