Question

A company offered its 350 employees a bonus of rs 10 to each male and rs 8.15 to each female. all the females accepted but a certain percentage of males refused to accept. the total bonus paid was independent of the number of males. what was the total amount paid to the males (in rupees)?

Answer 1

Answer:

Step-by-step explanation:

L e t space m space b e space t h e space t o t a l space n u m b e r space o f space m a l e s space m. space space space

A n d space p percent sign space o f space t h e space m a l e s space r e f u s e d space t h e space b o n u s. space space space

L e t space t h e space t o t a l space b o n u s space p a i d space b e space R s space X. space space space

X space equals space 10 open parentheses 1 minus p over 100 close parentheses m space plus space 8.15 left parenthesis 350 space minus space m right parenthesis space space

rightwards double arrow X equals space 10 m space minus space 0.1 p m 0.1 space p m space plus space 2852.5 space minus space 8.15 m space

T h e space t o t a l space b o n u s space i s space i n d e p e n d e n t space o f space m a l e s comma space t h e r e f o r e space colon space space

10 m space equals space 0.1 p m space plus space 8.15 m space o r space 0.1 p m space equals space 1.85 space space p space equals space 18.5 percent sign space space

T h e space n u m b e r space o f space m a l e s space w h o space h a v e space r e f u s e d space m u s t space b e space a n space i n t e g e r. space space space

I t space i s space o n l y space p o s s i b l e space w h e n space m space equals space 200 space o u t space o f space 350. space space

I f space m space w e r e space 100 space t h e n space t h e space m a l e s space w h o space r e f u s e d space w o u l d space b e space 18.5 space a n d space t h i s space i s space n o t space p o s s i b l e. space space space

T h e space n u m b e r space o f space f e m a l e s space i s space t h u s space colon space space 350 space minus space 200 space equals space 150 space space

T h e space t o t a l space b o n u s space p a i d space t o space f e m a l e s space i s space t h u s space colon space space 150 space cross times space 8.15 space equals space 1222.5