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)  

 17 of a journey covers 2603km. How long is the whole journey

km


Answer:_______________




2)  

 19 of a journey covers 4363km. How long is the whole journey

km


Answer:_______________




3)  

 24 of a journey covers 3589km. How long is the whole journey

km


Answer:_______________




4)  

 15 of a journey covers 3535km. How long is the whole journey

km


Answer:_______________




5)  

 13 of a journey covers 2658km. How long is the whole journey

km


Answer:_______________




6)  

 25 of a journey covers 3590km. How long is the whole journey

km


Answer:_______________




7)  

 19 of a journey covers 4735km. How long is the whole journey

km


Answer:_______________




8)  

 22 of a journey covers 4763km. How long is the whole journey

km


Answer:_______________




9)  

 13 of a journey covers 2227km. How long is the whole journey

km


Answer:_______________




10)  

 17 of a journey covers 3377km. How long is the whole journey

km


Answer:_______________




 

1)  

 17 of a journey covers 2603km. How long is the whole journey

Answer: 153km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

17% of the journey covers         = 2603 km

                              (17÷100) x x = 2603

                                  0.17 x x        = 2603

                                             x       = 2603÷0.17

                                                      =  153 km 

The length of the whole journey is 153km



2)  

 19 of a journey covers 4363km. How long is the whole journey

Answer: 230km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

19% of the journey covers         = 4363 km

                              (19÷100) x x = 4363

                                  0.19 x x        = 4363

                                             x       = 4363÷0.19

                                                      =  230 km 

The length of the whole journey is 230km



3)  

 24 of a journey covers 3589km. How long is the whole journey

Answer: 150km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

24% of the journey covers         = 3589 km

                              (24÷100) x x = 3589

                                  0.24 x x        = 3589

                                             x       = 3589÷0.24

                                                      =  150 km 

The length of the whole journey is 150km



4)  

 15 of a journey covers 3535km. How long is the whole journey

Answer: 236km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

15% of the journey covers         = 3535 km

                              (15÷100) x x = 3535

                                  0.15 x x        = 3535

                                             x       = 3535÷0.15

                                                      =  236 km 

The length of the whole journey is 236km



5)  

 13 of a journey covers 2658km. How long is the whole journey

Answer: 204km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

13% of the journey covers         = 2658 km

                              (13÷100) x x = 2658

                                  0.13 x x        = 2658

                                             x       = 2658÷0.13

                                                      =  204 km 

The length of the whole journey is 204km



6)  

 25 of a journey covers 3590km. How long is the whole journey

Answer: 144km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

25% of the journey covers         = 3590 km

                              (25÷100) x x = 3590

                                  0.25 x x        = 3590

                                             x       = 3590÷0.25

                                                      =  144 km 

The length of the whole journey is 144km



7)  

 19 of a journey covers 4735km. How long is the whole journey

Answer: 249km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

19% of the journey covers         = 4735 km

                              (19÷100) x x = 4735

                                  0.19 x x        = 4735

                                             x       = 4735÷0.19

                                                      =  249 km 

The length of the whole journey is 249km



8)  

 22 of a journey covers 4763km. How long is the whole journey

Answer: 217km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 4763 km

                              (22÷100) x x = 4763

                                  0.22 x x        = 4763

                                             x       = 4763÷0.22

                                                      =  217 km 

The length of the whole journey is 217km



9)  

 13 of a journey covers 2227km. How long is the whole journey

Answer: 171km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

13% of the journey covers         = 2227 km

                              (13÷100) x x = 2227

                                  0.13 x x        = 2227

                                             x       = 2227÷0.13

                                                      =  171 km 

The length of the whole journey is 171km



10)  

 17 of a journey covers 3377km. How long is the whole journey

Answer: 199km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

17% of the journey covers         = 3377 km

                              (17÷100) x x = 3377

                                  0.17 x x        = 3377

                                             x       = 3377÷0.17

                                                      =  199 km 

The length of the whole journey is 199km