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 20compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 86 pages of this book in 17 hrs


Answer:_______________




2)  

 If 23compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 93 pages of this book in 25 hrs


Answer:_______________




3)  

 If 25compositors can compose 65 pages of a book in 10 hrs,how many compositors will compose 85 pages of this book in 20 hrs


Answer:_______________




4)  

 If 21compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 97 pages of this book in 20 hrs


Answer:_______________




5)  

 If 23compositors can compose 65 pages of a book in 9 hrs,how many compositors will compose 97 pages of this book in 23 hrs


Answer:_______________




6)  

 If 22compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 96 pages of this book in 23 hrs


Answer:_______________




7)  

 If 30compositors can compose 50 pages of a book in 9 hrs,how many compositors will compose 93 pages of this book in 17 hrs


Answer:_______________




8)  

 If 30compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 95 pages of this book in 18 hrs


Answer:_______________




9)  

 If 24compositors can compose 50 pages of a book in 9 hrs,how many compositors will compose 98 pages of this book in 23 hrs


Answer:_______________




10)  

 If 29compositors can compose 65 pages of a book in 9 hrs,how many compositors will compose 98 pages of this book in 17 hrs


Answer:_______________




 

1)  

 If 20compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 86 pages of this book in 17 hrs

Answer: 18


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       20     10    55
               17    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 10 to 17 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1017

                         x             = 8655 x 1017 x 20

                                        = 1.56363636364 x 0.588235294118 x 20

                                        = 18

 

 

 



2)  

 If 23compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 93 pages of this book in 25 hrs

Answer: 16


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       23     10    55
               25    93


Consider the compositors and pages

As the No of pages increase from 55 to 93 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9355

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             = 9355 x 1025 x 23

                                        = 1.69090909091 x 0.4 x 23

                                        = 16

 

 

 



3)  

 If 25compositors can compose 65 pages of a book in 10 hrs,how many compositors will compose 85 pages of this book in 20 hrs

Answer: 16


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       25     10    65
               20    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 10 to 20 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   1020

                         x             = 8565 x 1020 x 25

                                        = 1.30769230769 x 0.5 x 25

                                        = 16

 

 

 



4)  

 If 21compositors can compose 55 pages of a book in 5 hrs,how many compositors will compose 97 pages of this book in 20 hrs

Answer: 9


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       21     5    55
               20    97


Consider the compositors and pages

As the No of pages increase from 55 to 97 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9755

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             = 9755 x 520 x 21

                                        = 1.76363636364 x 0.25 x 21

                                        = 9

 

 

 



5)  

 If 23compositors can compose 65 pages of a book in 9 hrs,how many compositors will compose 97 pages of this book in 23 hrs

Answer: 13


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       23     9    65
               23    97


Consider the compositors and pages

As the No of pages increase from 65 to 97 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9765

Consider the copmositors and hours .

As the No of hrs  increases from 9 to 23 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   923

                         x             = 9765 x 923 x 23

                                        = 1.49230769231 x 0.391304347826 x 23

                                        = 13

 

 

 



6)  

 If 22compositors can compose 55 pages of a book in 10 hrs,how many compositors will compose 96 pages of this book in 23 hrs

Answer: 17


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       22     10    55
               23    96


Consider the compositors and pages

As the No of pages increase from 55 to 96 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9655

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             = 9655 x 1023 x 22

                                        = 1.74545454545 x 0.434782608696 x 22

                                        = 17

 

 

 



7)  

 If 30compositors can compose 50 pages of a book in 9 hrs,how many compositors will compose 93 pages of this book in 17 hrs

Answer: 30


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     9    50
               17    93


Consider the compositors and pages

As the No of pages increase from 50 to 93 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9350

Consider the copmositors and hours .

As the No of hrs  increases from 9 to 17 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   917

                         x             = 9350 x 917 x 30

                                        = 1.86 x 0.529411764706 x 30

                                        = 30

 

 

 



8)  

 If 30compositors can compose 55 pages of a book in 7 hrs,how many compositors will compose 95 pages of this book in 18 hrs

Answer: 20


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       30     7    55
               18    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 7 to 18 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   718

                         x             = 9555 x 718 x 30

                                        = 1.72727272727 x 0.388888888889 x 30

                                        = 20

 

 

 



9)  

 If 24compositors can compose 50 pages of a book in 9 hrs,how many compositors will compose 98 pages of this book in 23 hrs

Answer: 18


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       24     9    50
               23    98


Consider the compositors and pages

As the No of pages increase from 50 to 98 & theNo of compositors also increases.

  It is in direct variation.

The multiplying factor  =   9850

Consider the copmositors and hours .

As the No of hrs  increases from 9 to 23 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   923

                         x             = 9850 x 923 x 24

                                        = 1.96 x 0.391304347826 x 24

                                        = 18

 

 

 



10)  

 If 29compositors can compose 65 pages of a book in 9 hrs,how many compositors will compose 98 pages of this book in 17 hrs

Answer: 23


SOLUTION 1 :

Soln :

Number of compositorsNumber of hrsNumber of pages
       29     9    65
               17    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 9 to 17 & the No of compositors decreases .

 it is in inverse variation.

The multiplying factor =   917

                         x             = 9865 x 917 x 29

                                        = 1.50769230769 x 0.529411764706 x 29

                                        = 23