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 55 pages of a book in 7 hrs,how many compositors will compose 86 pages of this book in 18 hrs


Answer:_______________




2)  

 If 20compositors can compose 70 pages of a book in 5 hrs,how many compositors will compose 86 pages of this book in 16 hrs


Answer:_______________




3)  

 If 30compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 88 pages of this book in 22 hrs


Answer:_______________




4)  

 If 23compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 84 pages of this book in 16 hrs


Answer:_______________




5)  

 If 30compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 84 pages of this book in 16 hrs


Answer:_______________




6)  

 If 25compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 85 pages of this book in 16 hrs


Answer:_______________




7)  

 If 25compositors can compose 65 pages of a book in 6 hrs,how many compositors will compose 86 pages of this book in 17 hrs


Answer:_______________




8)  

 If 24compositors can compose 60 pages of a book in 8 hrs,how many compositors will compose 93 pages of this book in 16 hrs


Answer:_______________




9)  

 If 25compositors can compose 60 pages of a book in 7 hrs,how many compositors will compose 93 pages of this book in 25 hrs


Answer:_______________




10)  

 If 30compositors can compose 60 pages of a book in 10 hrs,how many compositors will compose 82 pages of this book in 16 hrs


Answer:_______________




 

1)  

 If 30compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 86 pages of this book in 18 hrs

Answer: 18


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     7    55
               18    86


Consider the compositors and pages

As the No of pages increase from 55 to 86 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8655

Consider the copmositors and hours .

As the No of hrs  increases from 7 to 18 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   718

                         x             = 8655 x 718 x 30

                                        = 1.56363636364 x 0.388888888889 x 30

                                        = 18

 

 

 



2)  

 If 20compositors can compose 70 pages of a book in 5 hrs,how many compositors will compose 86 pages of this book in 16 hrs

Answer: 8


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       20     5    70
               16    86


Consider the compositors and pages

As the No of pages increase from 70 to 86 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8670

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 16 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   516

                         x             = 8670 x 516 x 20

                                        = 1.22857142857 x 0.3125 x 20

                                        = 8

 

 

 



3)  

 If 30compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 88 pages of this book in 22 hrs

Answer: 22


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     10    55
               22    88


Consider the compositors and pages

As the No of pages increase from 55 to 88 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8855

Consider the copmositors and hours .

As the No of hrs  increases from 10 to 22 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1022

                         x             = 8855 x 1022 x 30

                                        = 1.6 x 0.454545454545 x 30

                                        = 22

 

 

 



4)  

 If 23compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 84 pages of this book in 16 hrs

Answer: 22


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       23     10    55
               16    84


Consider the compositors and pages

As the No of pages increase from 55 to 84 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8455

Consider the copmositors and hours .

As the No of hrs  increases from 10 to 16 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1016

                         x             = 8455 x 1016 x 23

                                        = 1.52727272727 x 0.625 x 23

                                        = 22

 

 

 



5)  

 If 30compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 84 pages of this book in 16 hrs

Answer: 20


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     7    55
               16    84


Consider the compositors and pages

As the No of pages increase from 55 to 84 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8455

Consider the copmositors and hours .

As the No of hrs  increases from 7 to 16 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   716

                         x             = 8455 x 716 x 30

                                        = 1.52727272727 x 0.4375 x 30

                                        = 20

 

 

 



6)  

 If 25compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 85 pages of this book in 16 hrs

Answer: 14


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       25     7    65
               16    85


Consider the compositors and pages

As the No of pages increase from 65 to 85 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8565

Consider the copmositors and hours .

As the No of hrs  increases from 7 to 16 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   716

                         x             = 8565 x 716 x 25

                                        = 1.30769230769 x 0.4375 x 25

                                        = 14

 

 

 



7)  

 If 25compositors can compose 65 pages of a book in 6 hrs,how many compositors will compose 86 pages of this book in 17 hrs

Answer: 12


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       25     6    65
               17    86


Consider the compositors and pages

As the No of pages increase from 65 to 86 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8665

Consider the copmositors and hours .

As the No of hrs  increases from 6 to 17 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   617

                         x             = 8665 x 617 x 25

                                        = 1.32307692308 x 0.352941176471 x 25

                                        = 12

 

 

 



8)  

 If 24compositors can compose 60 pages of a book in 8 hrs,how many compositors will compose 93 pages of this book in 16 hrs

Answer: 19


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     8    60
               16    93


Consider the compositors and pages

As the No of pages increase from 60 to 93 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9360

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 16 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   816

                         x             = 9360 x 816 x 24

                                        = 1.55 x 0.5 x 24

                                        = 19

 

 

 



9)  

 If 25compositors can compose 60 pages of a book in 7 hrs,how many compositors will compose 93 pages of this book in 25 hrs

Answer: 11


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       25     7    60
               25    93


Consider the compositors and pages

As the No of pages increase from 60 to 93 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9360

Consider the copmositors and hours .

As the No of hrs  increases from 7 to 25 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   725

                         x             = 9360 x 725 x 25

                                        = 1.55 x 0.28 x 25

                                        = 11

 

 

 



10)  

 If 30compositors can compose 60 pages of a book in 10 hrs,how many compositors will compose 82 pages of this book in 16 hrs

Answer: 26


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     10    60
               16    82


Consider the compositors and pages

As the No of pages increase from 60 to 82 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8260

Consider the copmositors and hours .

As the No of hrs  increases from 10 to 16 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1016

                         x             = 8260 x 1016 x 30

                                        = 1.36666666667 x 0.625 x 30

                                        = 26