Scroll:Life mathematics >> profit and loss >> saq (4279)


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)  

 25 of a journey covers 2567km. How long is the whole journey

km


Answer:_______________




2)  

 13 of a journey covers 4556km. How long is the whole journey

km


Answer:_______________




3)  

 19 of a journey covers 2285km. How long is the whole journey

km


Answer:_______________




4)  

 25 of a journey covers 3676km. How long is the whole journey

km


Answer:_______________




5)  

 24 of a journey covers 2616km. How long is the whole journey

km


Answer:_______________




6)  

 22 of a journey covers 2143km. How long is the whole journey

km


Answer:_______________




7)  

 22 of a journey covers 4114km. How long is the whole journey

km


Answer:_______________




8)  

 12 of a journey covers 4812km. How long is the whole journey

km


Answer:_______________




9)  

 10 of a journey covers 3902km. How long is the whole journey

km


Answer:_______________




10)  

 13 of a journey covers 3979km. How long is the whole journey

km


Answer:_______________




 

1)  

 25 of a journey covers 2567km. How long is the whole journey

Answer: 103km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

25% of the journey covers         = 2567 km

                              (25÷100) x x = 2567

                                  0.25 x x        = 2567

                                             x       = 2567÷0.25

                                                      =  103 km 

The length of the whole journey is 103km



2)  

 13 of a journey covers 4556km. How long is the whole journey

Answer: 350km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

13% of the journey covers         = 4556 km

                              (13÷100) x x = 4556

                                  0.13 x x        = 4556

                                             x       = 4556÷0.13

                                                      =  350 km 

The length of the whole journey is 350km



3)  

 19 of a journey covers 2285km. How long is the whole journey

Answer: 120km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

19% of the journey covers         = 2285 km

                              (19÷100) x x = 2285

                                  0.19 x x        = 2285

                                             x       = 2285÷0.19

                                                      =  120 km 

The length of the whole journey is 120km



4)  

 25 of a journey covers 3676km. How long is the whole journey

Answer: 147km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

25% of the journey covers         = 3676 km

                              (25÷100) x x = 3676

                                  0.25 x x        = 3676

                                             x       = 3676÷0.25

                                                      =  147 km 

The length of the whole journey is 147km



5)  

 24 of a journey covers 2616km. How long is the whole journey

Answer: 109km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

24% of the journey covers         = 2616 km

                              (24÷100) x x = 2616

                                  0.24 x x        = 2616

                                             x       = 2616÷0.24

                                                      =  109 km 

The length of the whole journey is 109km



6)  

 22 of a journey covers 2143km. How long is the whole journey

Answer: 97km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 2143 km

                              (22÷100) x x = 2143

                                  0.22 x x        = 2143

                                             x       = 2143÷0.22

                                                      =  97 km 

The length of the whole journey is 97km



7)  

 22 of a journey covers 4114km. How long is the whole journey

Answer: 187km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 4114 km

                              (22÷100) x x = 4114

                                  0.22 x x        = 4114

                                             x       = 4114÷0.22

                                                      =  187 km 

The length of the whole journey is 187km



8)  

 12 of a journey covers 4812km. How long is the whole journey

Answer: 401km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

12% of the journey covers         = 4812 km

                              (12÷100) x x = 4812

                                  0.12 x x        = 4812

                                             x       = 4812÷0.12

                                                      =  401 km 

The length of the whole journey is 401km



9)  

 10 of a journey covers 3902km. How long is the whole journey

Answer: 390km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

10% of the journey covers         = 3902 km

                              (10÷100) x x = 3902

                                  0.1 x x        = 3902

                                             x       = 3902÷0.1

                                                      =  390 km 

The length of the whole journey is 390km



10)  

 13 of a journey covers 3979km. How long is the whole journey

Answer: 306km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

13% of the journey covers         = 3979 km

                              (13÷100) x x = 3979

                                  0.13 x x        = 3979

                                             x       = 3979÷0.13

                                                      =  306 km 

The length of the whole journey is 306km