Scroll:Life mathematics >> profit and loss >> saq (4316)


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)  

 Two boys can finish a work in 8 days when they work together.The first boy can do it alone in 9 days will the second boy do it all by himself

days


Answer:_______________




2)  

 Two boys can finish a work in 4 days when they work together.The first boy can do it alone in 5 days will the second boy do it all by himself

days


Answer:_______________




3)  

 Two boys can finish a work in 2 days when they work together.The first boy can do it alone in 3 days will the second boy do it all by himself

days


Answer:_______________




4)  

 Two boys can finish a work in 5 days when they work together.The first boy can do it alone in 6 days will the second boy do it all by himself

days


Answer:_______________




5)  

 Two boys can finish a work in 7 days when they work together.The first boy can do it alone in 8 days will the second boy do it all by himself

days


Answer:_______________




6)  

 Two boys can finish a work in 6 days when they work together.The first boy can do it alone in 7 days will the second boy do it all by himself

days


Answer:_______________




7)  

 Two boys can finish a work in 3 days when they work together.The first boy can do it alone in 4 days will the second boy do it all by himself

days


Answer:_______________




8)  

 Two boys can finish a work in 4 days when they work together.The first boy can do it alone in 5 days will the second boy do it all by himself

days


Answer:_______________




9)  

 Two boys can finish a work in 6 days when they work together.The first boy can do it alone in 7 days will the second boy do it all by himself

days


Answer:_______________




10)  

 Two boys can finish a work in 3 days when they work together.The first boy can do it alone in 4 days will the second boy do it all by himself

days


Answer:_______________




 

1)  

 Two boys can finish a work in 8 days when they work together.The first boy can do it alone in 9 days will the second boy do it all by himself

Answer: 72days


SOLUTION 1 :

Given :

Two boys  can finish a work =8 days

Workdone by both the boys together in 1 day = 18

The first boy finish the work = 9 days

workdone by the first boy in 1 day = 19

workdone by a second boy in 1 day = 18 - 19

                                                                   = [(1 x 9) - (1 x 8)] / (8 x 9)

                                                                   = (9 -8)72

                                                                   = 172

                                                                   

                                                                   = 1(1 / 72) 

                                                                   =72days

second boy finished a work in day     =  72



2)  

 Two boys can finish a work in 4 days when they work together.The first boy can do it alone in 5 days will the second boy do it all by himself

Answer: 20days


SOLUTION 1 :

Given :

Two boys  can finish a work =4 days

Workdone by both the boys together in 1 day = 14

The first boy finish the work = 5 days

workdone by the first boy in 1 day = 15

workdone by a second boy in 1 day = 14 - 15

                                                                   = [(1 x 5) - (1 x 4)] / (4 x 5)

                                                                   = (5 -4)20

                                                                   = 120

                                                                   

                                                                   = 1(1 / 20) 

                                                                   =20days

second boy finished a work in day     =  20



3)  

 Two boys can finish a work in 2 days when they work together.The first boy can do it alone in 3 days will the second boy do it all by himself

Answer: 6days


SOLUTION 1 :

Given :

Two boys  can finish a work =2 days

Workdone by both the boys together in 1 day = 12

The first boy finish the work = 3 days

workdone by the first boy in 1 day = 13

workdone by a second boy in 1 day = 12 - 13

                                                                   = [(1 x 3) - (1 x 2)] / (2 x 3)

                                                                   = (3 -2)6

                                                                   = 16

                                                                   

                                                                   = 1(1 / 6) 

                                                                   =6days

second boy finished a work in day     =  6



4)  

 Two boys can finish a work in 5 days when they work together.The first boy can do it alone in 6 days will the second boy do it all by himself

Answer: 30days


SOLUTION 1 :

Given :

Two boys  can finish a work =5 days

Workdone by both the boys together in 1 day = 15

The first boy finish the work = 6 days

workdone by the first boy in 1 day = 16

workdone by a second boy in 1 day = 15 - 16

                                                                   = [(1 x 6) - (1 x 5)] / (5 x 6)

                                                                   = (6 -5)30

                                                                   = 130

                                                                   

                                                                   = 1(1 / 30) 

                                                                   =30days

second boy finished a work in day     =  30



5)  

 Two boys can finish a work in 7 days when they work together.The first boy can do it alone in 8 days will the second boy do it all by himself

Answer: 56days


SOLUTION 1 :

Given :

Two boys  can finish a work =7 days

Workdone by both the boys together in 1 day = 17

The first boy finish the work = 8 days

workdone by the first boy in 1 day = 18

workdone by a second boy in 1 day = 17 - 18

                                                                   = [(1 x 8) - (1 x 7)] / (7 x 8)

                                                                   = (8 -7)56

                                                                   = 156

                                                                   

                                                                   = 1(1 / 56) 

                                                                   =56days

second boy finished a work in day     =  56



6)  

 Two boys can finish a work in 6 days when they work together.The first boy can do it alone in 7 days will the second boy do it all by himself

Answer: 42days


SOLUTION 1 :

Given :

Two boys  can finish a work =6 days

Workdone by both the boys together in 1 day = 16

The first boy finish the work = 7 days

workdone by the first boy in 1 day = 17

workdone by a second boy in 1 day = 16 - 17

                                                                   = [(1 x 7) - (1 x 6)] / (6 x 7)

                                                                   = (7 -6)42

                                                                   = 142

                                                                   

                                                                   = 1(1 / 42) 

                                                                   =42days

second boy finished a work in day     =  42



7)  

 Two boys can finish a work in 3 days when they work together.The first boy can do it alone in 4 days will the second boy do it all by himself

Answer: 12days


SOLUTION 1 :

Given :

Two boys  can finish a work =3 days

Workdone by both the boys together in 1 day = 13

The first boy finish the work = 4 days

workdone by the first boy in 1 day = 14

workdone by a second boy in 1 day = 13 - 14

                                                                   = [(1 x 4) - (1 x 3)] / (3 x 4)

                                                                   = (4 -3)12

                                                                   = 112

                                                                   

                                                                   = 1(1 / 12) 

                                                                   =12days

second boy finished a work in day     =  12



8)  

 Two boys can finish a work in 4 days when they work together.The first boy can do it alone in 5 days will the second boy do it all by himself

Answer: 20days


SOLUTION 1 :

Given :

Two boys  can finish a work =4 days

Workdone by both the boys together in 1 day = 14

The first boy finish the work = 5 days

workdone by the first boy in 1 day = 15

workdone by a second boy in 1 day = 14 - 15

                                                                   = [(1 x 5) - (1 x 4)] / (4 x 5)

                                                                   = (5 -4)20

                                                                   = 120

                                                                   

                                                                   = 1(1 / 20) 

                                                                   =20days

second boy finished a work in day     =  20



9)  

 Two boys can finish a work in 6 days when they work together.The first boy can do it alone in 7 days will the second boy do it all by himself

Answer: 42days


SOLUTION 1 :

Given :

Two boys  can finish a work =6 days

Workdone by both the boys together in 1 day = 16

The first boy finish the work = 7 days

workdone by the first boy in 1 day = 17

workdone by a second boy in 1 day = 16 - 17

                                                                   = [(1 x 7) - (1 x 6)] / (6 x 7)

                                                                   = (7 -6)42

                                                                   = 142

                                                                   

                                                                   = 1(1 / 42) 

                                                                   =42days

second boy finished a work in day     =  42



10)  

 Two boys can finish a work in 3 days when they work together.The first boy can do it alone in 4 days will the second boy do it all by himself

Answer: 12days


SOLUTION 1 :

Given :

Two boys  can finish a work =3 days

Workdone by both the boys together in 1 day = 13

The first boy finish the work = 4 days

workdone by the first boy in 1 day = 14

workdone by a second boy in 1 day = 13 - 14

                                                                   = [(1 x 4) - (1 x 3)] / (3 x 4)

                                                                   = (4 -3)12

                                                                   = 112

                                                                   

                                                                   = 1(1 / 12) 

                                                                   =12days

second boy finished a work in day     =  12