Scroll:Life mathematics >> profit and loss >> saq (4293)


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)  

11 carpenters working 5 hours day complete a furniture work in 16 days .How long would it take for 12 carpenters working for 2 hours per day to complete the same piece of work

days


Answer:_______________




2)  

9 carpenters working 6 hours day complete a furniture work in 18 days .How long would it take for 14 carpenters working for 3 hours per day to complete the same piece of work

days


Answer:_______________




3)  

10 carpenters working 8 hours day complete a furniture work in 18 days .How long would it take for 12 carpenters working for 2 hours per day to complete the same piece of work

days


Answer:_______________




4)  

10 carpenters working 6 hours day complete a furniture work in 15 days .How long would it take for 14 carpenters working for 4 hours per day to complete the same piece of work

days


Answer:_______________




5)  

9 carpenters working 7 hours day complete a furniture work in 15 days .How long would it take for 14 carpenters working for 4 hours per day to complete the same piece of work

days


Answer:_______________




6)  

10 carpenters working 6 hours day complete a furniture work in 15 days .How long would it take for 14 carpenters working for 2 hours per day to complete the same piece of work

days


Answer:_______________




7)  

11 carpenters working 5 hours day complete a furniture work in 17 days .How long would it take for 13 carpenters working for 3 hours per day to complete the same piece of work

days


Answer:_______________




8)  

10 carpenters working 7 hours day complete a furniture work in 18 days .How long would it take for 14 carpenters working for 2 hours per day to complete the same piece of work

days


Answer:_______________




9)  

9 carpenters working 5 hours day complete a furniture work in 17 days .How long would it take for 12 carpenters working for 2 hours per day to complete the same piece of work

days


Answer:_______________




10)  

11 carpenters working 8 hours day complete a furniture work in 17 days .How long would it take for 14 carpenters working for 2 hours per day to complete the same piece of work

days


Answer:_______________




 

1)  

11 carpenters working 5 hours day complete a furniture work in 16 days .How long would it take for 12 carpenters working for 2 hours per day to complete the same piece of work

Answer: 37 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      11   5   16
      12   2   

Number of carpenters increases from 11 to 12.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 1112

Consider the number of hrs for days & the number of days. as the number hrs decreses from 5 to2 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   52

                           x        = ( 1112 ) x ( 52 ) x 16

                                     =(0.92 x 2.50 x 16)

                                    =  37 days

 ï»¿



2)  

9 carpenters working 6 hours day complete a furniture work in 18 days .How long would it take for 14 carpenters working for 3 hours per day to complete the same piece of work

Answer: 23 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      9   6   18
      14   3   

Number of carpenters increases from 9 to 14.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 914

Consider the number of hrs for days & the number of days. as the number hrs decreses from 6 to3 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   63

                           x        = ( 914 ) x ( 63 ) x 18

                                     =(0.64 x 2.00 x 18)

                                    =  23 days

 ï»¿



3)  

10 carpenters working 8 hours day complete a furniture work in 18 days .How long would it take for 12 carpenters working for 2 hours per day to complete the same piece of work

Answer: 60 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      10   8   18
      12   2   

Number of carpenters increases from 10 to 12.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 1012

Consider the number of hrs for days & the number of days. as the number hrs decreses from 8 to2 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   82

                           x        = ( 1012 ) x ( 82 ) x 18

                                     =(0.83 x 4.00 x 18)

                                    =  60 days

 ï»¿



4)  

10 carpenters working 6 hours day complete a furniture work in 15 days .How long would it take for 14 carpenters working for 4 hours per day to complete the same piece of work

Answer: 16 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      10   6   15
      14   4   

Number of carpenters increases from 10 to 14.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 1014

Consider the number of hrs for days & the number of days. as the number hrs decreses from 6 to4 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   64

                           x        = ( 1014 ) x ( 64 ) x 15

                                     =(0.71 x 1.50 x 15)

                                    =  16 days

 ï»¿



5)  

9 carpenters working 7 hours day complete a furniture work in 15 days .How long would it take for 14 carpenters working for 4 hours per day to complete the same piece of work

Answer: 17 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      9   7   15
      14   4   

Number of carpenters increases from 9 to 14.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 914

Consider the number of hrs for days & the number of days. as the number hrs decreses from 7 to4 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   74

                           x        = ( 914 ) x ( 74 ) x 15

                                     =(0.64 x 1.75 x 15)

                                    =  17 days

 ï»¿



6)  

10 carpenters working 6 hours day complete a furniture work in 15 days .How long would it take for 14 carpenters working for 2 hours per day to complete the same piece of work

Answer: 32 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      10   6   15
      14   2   

Number of carpenters increases from 10 to 14.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 1014

Consider the number of hrs for days & the number of days. as the number hrs decreses from 6 to2 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   62

                           x        = ( 1014 ) x ( 62 ) x 15

                                     =(0.71 x 3.00 x 15)

                                    =  32 days

 ï»¿



7)  

11 carpenters working 5 hours day complete a furniture work in 17 days .How long would it take for 13 carpenters working for 3 hours per day to complete the same piece of work

Answer: 24 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      11   5   17
      13   3   

Number of carpenters increases from 11 to 13.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 1113

Consider the number of hrs for days & the number of days. as the number hrs decreses from 5 to3 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   53

                           x        = ( 1113 ) x ( 53 ) x 17

                                     =(0.85 x 1.67 x 17)

                                    =  24 days

 ï»¿



8)  

10 carpenters working 7 hours day complete a furniture work in 18 days .How long would it take for 14 carpenters working for 2 hours per day to complete the same piece of work

Answer: 45 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      10   7   18
      14   2   

Number of carpenters increases from 10 to 14.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 1014

Consider the number of hrs for days & the number of days. as the number hrs decreses from 7 to2 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   72

                           x        = ( 1014 ) x ( 72 ) x 18

                                     =(0.71 x 3.50 x 18)

                                    =  45 days

 ï»¿



9)  

9 carpenters working 5 hours day complete a furniture work in 17 days .How long would it take for 12 carpenters working for 2 hours per day to complete the same piece of work

Answer: 32 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      9   5   17
      12   2   

Number of carpenters increases from 9 to 12.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 912

Consider the number of hrs for days & the number of days. as the number hrs decreses from 5 to2 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   52

                           x        = ( 912 ) x ( 52 ) x 17

                                     =(0.75 x 2.50 x 17)

                                    =  32 days

 ï»¿



10)  

11 carpenters working 8 hours day complete a furniture work in 17 days .How long would it take for 14 carpenters working for 2 hours per day to complete the same piece of work

Answer: 54 days


SOLUTION 1 :

 

Number of carpentersNumber of hrsNumber of days
      11   8   17
      14   2   

Number of carpenters increases from 11 to 14.The Number of days decreases.

           It is in inverse variation.

The multiplying factor  = 1114

Consider the number of hrs for days & the number of days. as the number hrs decreses from 8 to2 . The number of days increases.

           It is in inverse variation.

The multiplying factor   =   82

                           x        = ( 1114 ) x ( 82 ) x 17

                                     =(0.79 x 4.00 x 17)

                                    =  54 days

 ï»¿