Question

In a group of 950 perssons , 750 can speak hindi and 460 can speak english only

i) how many can speak both hindi and english

ii)how many can speak hindi only

iii) how many can speak english only

Answer 1

Total number of person$=950$

Number of person who speak hindi$=750$

Number of person who speak english$=460$

$A\cup B=950\Rightarrow A\cup B=A+B-(A\cap B)950=750+460-A\cap Bn(A\cap B)=1210-950n(A\cap B)=260$

$\because$ Number of person who speak both hindi & english$=260$

$\therefore$ Number pof person who speak hindi only$=750-26=490$

$\therefore$ Number of person who speak english only$=460-260=200$