Scroll:Life mathematics >> profit and loss >> saq (4294)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 If 21compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 82 pages of this book in 23 hrs


Answer:_______________




2)  

 If 21compositors can compose 70 pages of a book in 8 hrs,how many compositors will compose 82 pages of this book in 25 hrs


Answer:_______________




3)  

 If 26compositors can compose 60 pages of a book in 5 hrs,how many compositors will compose 88 pages of this book in 21 hrs


Answer:_______________




4)  

 If 22compositors can compose 55 pages of a book in 6 hrs,how many compositors will compose 99 pages of this book in 22 hrs


Answer:_______________




5)  

 If 25compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 91 pages of this book in 19 hrs


Answer:_______________




6)  

 If 25compositors can compose 50 pages of a book in 8 hrs,how many compositors will compose 90 pages of this book in 22 hrs


Answer:_______________




7)  

 If 26compositors can compose 50 pages of a book in 6 hrs,how many compositors will compose 94 pages of this book in 15 hrs


Answer:_______________




8)  

 If 28compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 84 pages of this book in 22 hrs


Answer:_______________




9)  

 If 29compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 87 pages of this book in 22 hrs


Answer:_______________




10)  

 If 24compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 80 pages of this book in 21 hrs


Answer:_______________




 

1)  

 If 21compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 82 pages of this book in 23 hrs

Answer: 7


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       21     5    50
               23    82


Consider the compositors and pages

As the No of pages increase from 50 to 82 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8250

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 23 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   523

                         x             = 8250 x 523 x 21

                                        = 1.64 x 0.217391304348 x 21

                                        = 7

 

 

 



2)  

 If 21compositors can compose 70 pages of a book in 8 hrs,how many compositors will compose 82 pages of this book in 25 hrs

Answer: 8


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       21     8    70
               25    82


Consider the compositors and pages

As the No of pages increase from 70 to 82 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8270

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 25 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   825

                         x             = 8270 x 825 x 21

                                        = 1.17142857143 x 0.32 x 21

                                        = 8

 

 

 



3)  

 If 26compositors can compose 60 pages of a book in 5 hrs,how many compositors will compose 88 pages of this book in 21 hrs

Answer: 9


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       26     5    60
               21    88


Consider the compositors and pages

As the No of pages increase from 60 to 88 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8860

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 21 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   521

                         x             = 8860 x 521 x 26

                                        = 1.46666666667 x 0.238095238095 x 26

                                        = 9

 

 

 



4)  

 If 22compositors can compose 55 pages of a book in 6 hrs,how many compositors will compose 99 pages of this book in 22 hrs

Answer: 11


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       22     6    55
               22    99


Consider the compositors and pages

As the No of pages increase from 55 to 99 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9955

Consider the copmositors and hours .

As the No of hrs  increases from 6 to 22 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   622

                         x             = 9955 x 622 x 22

                                        = 1.8 x 0.272727272727 x 22

                                        = 11

 

 

 



5)  

 If 25compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 91 pages of this book in 19 hrs

Answer: 9


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       25     5    65
               19    91


Consider the compositors and pages

As the No of pages increase from 65 to 91 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9165

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 19 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   519

                         x             = 9165 x 519 x 25

                                        = 1.4 x 0.263157894737 x 25

                                        = 9

 

 

 



6)  

 If 25compositors can compose 50 pages of a book in 8 hrs,how many compositors will compose 90 pages of this book in 22 hrs

Answer: 16


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       25     8    50
               22    90


Consider the compositors and pages

As the No of pages increase from 50 to 90 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9050

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 22 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   822

                         x             = 9050 x 822 x 25

                                        = 1.8 x 0.363636363636 x 25

                                        = 16

 

 

 



7)  

 If 26compositors can compose 50 pages of a book in 6 hrs,how many compositors will compose 94 pages of this book in 15 hrs

Answer: 20


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       26     6    50
               15    94


Consider the compositors and pages

As the No of pages increase from 50 to 94 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9450

Consider the copmositors and hours .

As the No of hrs  increases from 6 to 15 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   615

                         x             = 9450 x 615 x 26

                                        = 1.88 x 0.4 x 26

                                        = 20

 

 

 



8)  

 If 28compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 84 pages of this book in 22 hrs

Answer: 12


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       28     7    65
               22    84


Consider the compositors and pages

As the No of pages increase from 65 to 84 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8465

Consider the copmositors and hours .

As the No of hrs  increases from 7 to 22 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   722

                         x             = 8465 x 722 x 28

                                        = 1.29230769231 x 0.318181818182 x 28

                                        = 12

 

 

 



9)  

 If 29compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 87 pages of this book in 22 hrs

Answer: 10


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       29     5    55
               22    87


Consider the compositors and pages

As the No of pages increase from 55 to 87 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8755

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 22 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   522

                         x             = 8755 x 522 x 29

                                        = 1.58181818182 x 0.227272727273 x 29

                                        = 10

 

 

 



10)  

 If 24compositors can compose 50 pages of a book in 5 hrs,how many compositors will compose 80 pages of this book in 21 hrs

Answer: 9


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     5    50
               21    80


Consider the compositors and pages

As the No of pages increase from 50 to 80 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8050

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 21 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   521

                         x             = 8050 x 521 x 24

                                        = 1.6 x 0.238095238095 x 24

                                        = 9