Question

$if \: 15\%of \: the \: workers \: in \: a \: factory \: are \: females \: and \: the \: number \: of \: workers \: is \: 272 \: . \: find \: the \: total \: number \: of \: workers \: in \: the \: factory$

Answer 1

HI HERE IS THE ANSWER

LET THE TOTAL NUMBER OF WORKERS BE X.


PERCENTAGE OF FEMALES =15 %

PERCENTAGE OF MALES=(100-15)%=85%

NUMBER OF MALES =85% OF X
.
. . 85% OF X= 272.

= 85/100× X=274
= X = (272×100/85)=320

HENCE THE TOTAL NUMBER OF WORKERS IN THE FACTORY IS 320.

ALTERNATIVE METHOD

LET THE TOTAL NUMBER OF WORKERS BE 100

THEN, THE NUMBER OF FEMALE WORKERS =15

NUMBER OF MALE WORKERS =(100-15)=85

IF THE NUMBER OF MALES IS 85 , TOTAL NUMBER OF WORKERS =100

IF THE NUMBER OF MALES IS 272 , THE TOTAL NUMBER OF WORKERS =(100/85×272)
=320.

HENCE , THE TOTAL NUMBER OF WORKERS OF FACTORY IS 320.

Answer 2

let the total no of workers be x.

percentage of female=15%

percentage of male=(100-15)=85%

no of males=85% of x

therefore, 85% of x=272

85÷100×x=272

x=272×100÷85

x=320

hence the total no of workers in the factory is 320.