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 30compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 89 pages of this book in 20 hrs


Answer:_______________




2)  

 If 23compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 99 pages of this book in 19 hrs


Answer:_______________




3)  

 If 24compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 80 pages of this book in 24 hrs


Answer:_______________




4)  

 If 22compositors can compose 55 pages of a book in 8 hrs,how many compositors will compose 95 pages of this book in 24 hrs


Answer:_______________




5)  

 If 27compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 96 pages of this book in 25 hrs


Answer:_______________




6)  

 If 20compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 87 pages of this book in 17 hrs


Answer:_______________




7)  

 If 22compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 98 pages of this book in 19 hrs


Answer:_______________




8)  

 If 24compositors can compose 50 pages of a book in 6 hrs,how many compositors will compose 87 pages of this book in 25 hrs


Answer:_______________




9)  

 If 26compositors can compose 60 pages of a book in 8 hrs,how many compositors will compose 98 pages of this book in 15 hrs


Answer:_______________




10)  

 If 24compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 98 pages of this book in 15 hrs


Answer:_______________




 

1)  

 If 30compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 89 pages of this book in 20 hrs

Answer: 10


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     5    65
               20    89


Consider the compositors and pages

As the No of pages increase from 65 to 89 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8965

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 20 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   520

                         x             = 8965 x 520 x 30

                                        = 1.3692307692308 x 0.25 x 30

                                        = 10

 

 

 



2)  

 If 23compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 99 pages of this book in 19 hrs

Answer: 13


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       23     7    65
               19    99


Consider the compositors and pages

As the No of pages increase from 65 to 99 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9965

Consider the copmositors and hours .

As the No of hrs  increases from 7 to 19 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   719

                         x             = 9965 x 719 x 23

                                        = 1.5230769230769 x 0.36842105263158 x 23

                                        = 13

 

 

 



3)  

 If 24compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 80 pages of this book in 24 hrs

Answer: 10


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     8    65
               24    80


Consider the compositors and pages

As the No of pages increase from 65 to 80 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8065

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 24 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   824

                         x             = 8065 x 824 x 24

                                        = 1.2307692307692 x 0.33333333333333 x 24

                                        = 10

 

 

 



4)  

 If 22compositors can compose 55 pages of a book in 8 hrs,how many compositors will compose 95 pages of this book in 24 hrs

Answer: 13


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       22     8    55
               24    95


Consider the compositors and pages

As the No of pages increase from 55 to 95 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9555

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 24 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   824

                         x             = 9555 x 824 x 22

                                        = 1.7272727272727 x 0.33333333333333 x 22

                                        = 13

 

 

 



5)  

 If 27compositors can compose 65 pages of a book in 5 hrs,how many compositors will compose 96 pages of this book in 25 hrs

Answer: 8


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       27     5    65
               25    96


Consider the compositors and pages

As the No of pages increase from 65 to 96 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9665

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 25 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   525

                         x             = 9665 x 525 x 27

                                        = 1.4769230769231 x 0.2 x 27

                                        = 8

 

 

 



6)  

 If 20compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 87 pages of this book in 17 hrs

Answer: 9


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       20     5    55
               17    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 17 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   517

                         x             = 8755 x 517 x 20

                                        = 1.5818181818182 x 0.29411764705882 x 20

                                        = 9

 

 

 



7)  

 If 22compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 98 pages of this book in 19 hrs

Answer: 14


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       22     8    65
               19    98


Consider the compositors and pages

As the No of pages increase from 65 to 98 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9865

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 19 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   819

                         x             = 9865 x 819 x 22

                                        = 1.5076923076923 x 0.42105263157895 x 22

                                        = 14

 

 

 



8)  

 If 24compositors can compose 50 pages of a book in 6 hrs,how many compositors will compose 87 pages of this book in 25 hrs

Answer: 10


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     6    50
               25    87


Consider the compositors and pages

As the No of pages increase from 50 to 87 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8750

Consider the copmositors and hours .

As the No of hrs  increases from 6 to 25 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   625

                         x             = 8750 x 625 x 24

                                        = 1.74 x 0.24 x 24

                                        = 10

 

 

 



9)  

 If 26compositors can compose 60 pages of a book in 8 hrs,how many compositors will compose 98 pages of this book in 15 hrs

Answer: 23


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       26     8    60
               15    98


Consider the compositors and pages

As the No of pages increase from 60 to 98 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9860

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 15 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   815

                         x             = 9860 x 815 x 26

                                        = 1.6333333333333 x 0.53333333333333 x 26

                                        = 23

 

 

 



10)  

 If 24compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 98 pages of this book in 15 hrs

Answer: 20


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     7    55
               15    98


Consider the compositors and pages

As the No of pages increase from 55 to 98 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9855

Consider the copmositors and hours .

As the No of hrs  increases from 7 to 15 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   715

                         x             = 9855 x 715 x 24

                                        = 1.7818181818182 x 0.46666666666667 x 24

                                        = 20