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 29compositors can compose 60 pages of a book in 10 hrs,how many compositors will compose 90 pages of this book in 25 hrs


Answer:_______________




2)  

 If 28compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 82 pages of this book in 20 hrs


Answer:_______________




3)  

 If 23compositors can compose 65 pages of a book in 10 hrs,how many compositors will compose 98 pages of this book in 19 hrs


Answer:_______________




4)  

 If 24compositors can compose 60 pages of a book in 9 hrs,how many compositors will compose 83 pages of this book in 16 hrs


Answer:_______________




5)  

 If 27compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 82 pages of this book in 25 hrs


Answer:_______________




6)  

 If 29compositors can compose 50 pages of a book in 7 hrs,how many compositors will compose 97 pages of this book in 15 hrs


Answer:_______________




7)  

 If 20compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 93 pages of this book in 22 hrs


Answer:_______________




8)  

 If 21compositors can compose 60 pages of a book in 7 hrs,how many compositors will compose 99 pages of this book in 19 hrs


Answer:_______________




9)  

 If 24compositors can compose 65 pages of a book in 10 hrs,how many compositors will compose 94 pages of this book in 23 hrs


Answer:_______________




10)  

 If 30compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 91 pages of this book in 18 hrs


Answer:_______________




 

1)  

 If 29compositors can compose 60 pages of a book in 10 hrs,how many compositors will compose 90 pages of this book in 25 hrs

Answer: 17


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       29     10    60
               25    90


Consider the compositors and pages

As the No of pages increase from 60 to 90 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9060

Consider the copmositors and hours .

As the No of hrs  increases from 10 to 25 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1025

                         x             = 9060 x 1025 x 29

                                        = 1.5 x 0.4 x 29

                                        = 17

 

 

 



2)  

 If 28compositors can compose 65 pages of a book in 8 hrs,how many compositors will compose 82 pages of this book in 20 hrs

Answer: 14


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       28     8    65
               20    82


Consider the compositors and pages

As the No of pages increase from 65 to 82 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8265

Consider the copmositors and hours .

As the No of hrs  increases from 8 to 20 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   820

                         x             = 8265 x 820 x 28

                                        = 1.26153846154 x 0.4 x 28

                                        = 14

 

 

 



3)  

 If 23compositors can compose 65 pages of a book in 10 hrs,how many compositors will compose 98 pages of this book in 19 hrs

Answer: 18


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       23     10    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 10 to 19 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1019

                         x             = 9865 x 1019 x 23

                                        = 1.50769230769 x 0.526315789474 x 23

                                        = 18

 

 

 



4)  

 If 24compositors can compose 60 pages of a book in 9 hrs,how many compositors will compose 83 pages of this book in 16 hrs

Answer: 19


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     9    60
               16    83


Consider the compositors and pages

As the No of pages increase from 60 to 83 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8360

Consider the copmositors and hours .

As the No of hrs  increases from 9 to 16 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   916

                         x             = 8360 x 916 x 24

                                        = 1.38333333333 x 0.5625 x 24

                                        = 19

 

 

 



5)  

 If 27compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 82 pages of this book in 25 hrs

Answer: 16


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       27     10    55
               25    82


Consider the compositors and pages

As the No of pages increase from 55 to 82 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   8255

Consider the copmositors and hours .

As the No of hrs  increases from 10 to 25 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1025

                         x             = 8255 x 1025 x 27

                                        = 1.49090909091 x 0.4 x 27

                                        = 16

 

 

 



6)  

 If 29compositors can compose 50 pages of a book in 7 hrs,how many compositors will compose 97 pages of this book in 15 hrs

Answer: 26


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       29     7    50
               15    97


Consider the compositors and pages

As the No of pages increase from 50 to 97 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9750

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             = 9750 x 715 x 29

                                        = 1.94 x 0.466666666667 x 29

                                        = 26

 

 

 



7)  

 If 20compositors can compose 65 pages of a book in 7 hrs,how many compositors will compose 93 pages of this book in 22 hrs

Answer: 9


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       20     7    65
               22    93


Consider the compositors and pages

As the No of pages increase from 65 to 93 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9365

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             = 9365 x 722 x 20

                                        = 1.43076923077 x 0.318181818182 x 20

                                        = 9

 

 

 



8)  

 If 21compositors can compose 60 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
       21     7    60
               19    99


Consider the compositors and pages

As the No of pages increase from 60 to 99 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9960

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             = 9960 x 719 x 21

                                        = 1.65 x 0.368421052632 x 21

                                        = 13

 

 

 



9)  

 If 24compositors can compose 65 pages of a book in 10 hrs,how many compositors will compose 94 pages of this book in 23 hrs

Answer: 15


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     10    65
               23    94


Consider the compositors and pages

As the No of pages increase from 65 to 94 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9465

Consider the copmositors and hours .

As the No of hrs  increases from 10 to 23 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1023

                         x             = 9465 x 1023 x 24

                                        = 1.44615384615 x 0.434782608696 x 24

                                        = 15

 

 

 



10)  

 If 30compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 91 pages of this book in 18 hrs

Answer: 14


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     5    55
               18    91


Consider the compositors and pages

As the No of pages increase from 55 to 91 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9155

Consider the copmositors and hours .

As the No of hrs  increases from 5 to 18 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   518

                         x             = 9155 x 518 x 30

                                        = 1.65454545455 x 0.277777777778 x 30

                                        = 14