1.

The ratio of the numbers of male and female workers in a farm with 420 workers is 13 : 17. What will be the new ratio if 4 female workers leave the work?1). 91 : 812). 14 : 173). 9 : 104). 7 : 9

Answer»

According to the given information,

NUMBER of total workers in the FARM = 420

Ratio of men and women = 13 :17

Number of men workers = total number of workers $(\times \;\frac{{13}}{{13 + 17}})$

Number of men workers $(= \;420\; \times \frac{{13}}{{13 + 17}}{\rm{\;}} = {\rm{\;}}182)$

Number of FEMALE workers = 420 – 182 = 238

According to the given information,

4 female workers leave the work,

the remaining number of female workers = 238 – 4 = 234

New ratio of MALE to female workers = 182 : 234 = 7 : 9

Hence new ratio is 7 : 9


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