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)  

 11 of a journey covers 3439km. How long is the whole journey

km


Answer:_______________




2)  

 20 of a journey covers 2417km. How long is the whole journey

km


Answer:_______________




3)  

 25 of a journey covers 2853km. How long is the whole journey

km


Answer:_______________




4)  

 14 of a journey covers 3737km. How long is the whole journey

km


Answer:_______________




5)  

 13 of a journey covers 2760km. How long is the whole journey

km


Answer:_______________




6)  

 10 of a journey covers 4463km. How long is the whole journey

km


Answer:_______________




7)  

 16 of a journey covers 4084km. How long is the whole journey

km


Answer:_______________




8)  

 23 of a journey covers 4702km. How long is the whole journey

km


Answer:_______________




9)  

 11 of a journey covers 4395km. How long is the whole journey

km


Answer:_______________




10)  

 17 of a journey covers 2954km. How long is the whole journey

km


Answer:_______________




 

1)  

 11 of a journey covers 3439km. How long is the whole journey

Answer: 313km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

11% of the journey covers         = 3439 km

                              (11÷100) x x = 3439

                                  0.11 x x        = 3439

                                             x       = 3439÷0.11

                                                      =  313 km 

The length of the whole journey is 313km



2)  

 20 of a journey covers 2417km. How long is the whole journey

Answer: 121km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

20% of the journey covers         = 2417 km

                              (20÷100) x x = 2417

                                  0.2 x x        = 2417

                                             x       = 2417÷0.2

                                                      =  121 km 

The length of the whole journey is 121km



3)  

 25 of a journey covers 2853km. How long is the whole journey

Answer: 114km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

25% of the journey covers         = 2853 km

                              (25÷100) x x = 2853

                                  0.25 x x        = 2853

                                             x       = 2853÷0.25

                                                      =  114 km 

The length of the whole journey is 114km



4)  

 14 of a journey covers 3737km. How long is the whole journey

Answer: 267km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

14% of the journey covers         = 3737 km

                              (14÷100) x x = 3737

                                  0.14 x x        = 3737

                                             x       = 3737÷0.14

                                                      =  267 km 

The length of the whole journey is 267km



5)  

 13 of a journey covers 2760km. How long is the whole journey

Answer: 212km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

13% of the journey covers         = 2760 km

                              (13÷100) x x = 2760

                                  0.13 x x        = 2760

                                             x       = 2760÷0.13

                                                      =  212 km 

The length of the whole journey is 212km



6)  

 10 of a journey covers 4463km. How long is the whole journey

Answer: 446km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

10% of the journey covers         = 4463 km

                              (10÷100) x x = 4463

                                  0.1 x x        = 4463

                                             x       = 4463÷0.1

                                                      =  446 km 

The length of the whole journey is 446km



7)  

 16 of a journey covers 4084km. How long is the whole journey

Answer: 255km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

16% of the journey covers         = 4084 km

                              (16÷100) x x = 4084

                                  0.16 x x        = 4084

                                             x       = 4084÷0.16

                                                      =  255 km 

The length of the whole journey is 255km



8)  

 23 of a journey covers 4702km. How long is the whole journey

Answer: 204km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

23% of the journey covers         = 4702 km

                              (23÷100) x x = 4702

                                  0.23 x x        = 4702

                                             x       = 4702÷0.23

                                                      =  204 km 

The length of the whole journey is 204km



9)  

 11 of a journey covers 4395km. How long is the whole journey

Answer: 400km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

11% of the journey covers         = 4395 km

                              (11÷100) x x = 4395

                                  0.11 x x        = 4395

                                             x       = 4395÷0.11

                                                      =  400 km 

The length of the whole journey is 400km



10)  

 17 of a journey covers 2954km. How long is the whole journey

Answer: 174km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

17% of the journey covers         = 2954 km

                              (17÷100) x x = 2954

                                  0.17 x x        = 2954

                                             x       = 2954÷0.17

                                                      =  174 km 

The length of the whole journey is 174km