Keerthana
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Total students who visited all the three towns is what percent of total students visited town B & C but not A?

a

3313%33frac{1}{3}{ m{\% }}

b

1427%14frac{2}{7}{ m{\% }}

c

1623%16frac{2}{3}{ m{\% }}

d

6623%66frac{2}{3}{ m{\% }}

e

6023%60frac{2}{3}{ m{\% }}

Answer : Option D
Explanation :

Total students visited only town A = 400× 20100frac{{20}}{{100}} =80

Total students visited only town B = 80×85100frac{{85}}{{100}}=68

Total students visited only town C = 400×18100frac{{18}}{{100}}=72

Total students visited town A & B but not C = 68 -8 = 60

Total students visited town B & C but not A = 602frac{{60}}{2}=30

Total students visited A & C but not B = 68+722frac{{68 + 72}}{2} = 70

Total students visited all the three towns

= 400 – (80 + 68 +72+60+30+70) = 20

Required percentage = 2030×100=6623%frac{{20}}{{30}} imes 100 = 66frac{2}{3}{ m{\% }}

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