The department of education runs 120 colleges and 15 universities having a strength of 300 lecturers,100 readers and 50 professors in universities and 5000 lecturers and 1000 readers in colleges. The monthly salary is Rs.9000 for professors, Rs.8000 for readers and Rs.5000 for lectures .Find the monthly salary bill in the colleges and universities. 
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Asked by Ibrahim Mohammed | 19th May, 2015, 11:07: PM

Expert Answer:

G i v e n space t h a t space t h e r e space a r e space 120 space c o l l e g e s space a n d space 15 space u n i v e r s i t i e s space h a v i n g space a space s t r e n g t h space o f space 300 space l e c t u r e r s comma 100 space r e a d e r s space a n d space 50 space p r o f e s s o r s space i n space u n i v e r s i t i e s space a n d space 5000 space l e c t u r e r s space a n d space 1000 space r e a d e r s space i n space c o l l e g e s. space T h u s space t h e space m a t r i x space r e p r e s e n t a t i o n space o f space t o t a l space l e c t u r e r s comma space r e a d e r s space a n d space p r o f e s s o r s space i n space u n i v e r s i t i e s space a n d space c o l l e g e s i s space a s space f o l l o w s colon open square brackets table row 300 100 50 row 5000 1000 0 end table close square brackets A n d space t h e space m a t r i x space r e p r e s e n t a t i o n space o f space m o n t h l y space s a l a r y space o f space l e c t u r e r s comma space r e a d e r s space a n d space p r o f e s s o r s space i s space a s space f o l l o w s colon space open square brackets table row 5000 row 8000 row 9000 end table close square brackets space space space space space space space space space space space space space space space space space space T h e space t o t a l space s a l a r y space b i l l space i s space t h e space p r o d u c t space o f space t h e space n u m b e r space o f space l e c t u r e r s comma space r e a d e r s space a n d space p r o f e s s o r s space a n d space t h e i r space m o n t h l y space s a l a r y T h e r e f o r e comma open square brackets table row 300 100 50 row 5000 1000 0 end table close square brackets cross times space open square brackets table row 5000 row 8000 row 9000 end table close square brackets equals space open square brackets table row cell 300 cross times 5000 plus 100 cross times 8000 plus 50 cross times 9000 end cell row cell 5000 cross times 5000 plus 1000 cross times 8000 plus 0 cross times 9000 end cell end table close square brackets space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space open square brackets table row 2750000 row 33000000 end table close square brackets T h u s comma space t h e space t o t a l space b i l l space i n space u n i v e r s i t i e s space i s space R s.27 comma 50 comma 000 T h u s comma space t h e space t o t a l space b i l l space i n space c o l l e g e s space i s space R s.3 comma 30 comma 00 comma 000 space space space space space space space space space space space space space space space

Answered by Vimala Ramamurthy | 20th May, 2015, 10:57: AM