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 2719km. How long is the whole journey

km


Answer:_______________




2)  

 16 of a journey covers 3026km. How long is the whole journey

km


Answer:_______________




3)  

 22 of a journey covers 4345km. How long is the whole journey

km


Answer:_______________




4)  

 19 of a journey covers 3356km. How long is the whole journey

km


Answer:_______________




5)  

 10 of a journey covers 4901km. How long is the whole journey

km


Answer:_______________




6)  

 20 of a journey covers 2138km. How long is the whole journey

km


Answer:_______________




7)  

 20 of a journey covers 3894km. How long is the whole journey

km


Answer:_______________




8)  

 22 of a journey covers 4428km. How long is the whole journey

km


Answer:_______________




9)  

 13 of a journey covers 3738km. How long is the whole journey

km


Answer:_______________




10)  

 12 of a journey covers 3173km. How long is the whole journey

km


Answer:_______________




 

1)  

 25 of a journey covers 2719km. How long is the whole journey

Answer: 109km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

25% of the journey covers         = 2719 km

                              (25÷100) x x = 2719

                                  0.25 x x        = 2719

                                             x       = 2719÷0.25

                                                      =  109 km 

The length of the whole journey is 109km



2)  

 16 of a journey covers 3026km. How long is the whole journey

Answer: 189km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

16% of the journey covers         = 3026 km

                              (16÷100) x x = 3026

                                  0.16 x x        = 3026

                                             x       = 3026÷0.16

                                                      =  189 km 

The length of the whole journey is 189km



3)  

 22 of a journey covers 4345km. How long is the whole journey

Answer: 198km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 4345 km

                              (22÷100) x x = 4345

                                  0.22 x x        = 4345

                                             x       = 4345÷0.22

                                                      =  198 km 

The length of the whole journey is 198km



4)  

 19 of a journey covers 3356km. How long is the whole journey

Answer: 177km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

19% of the journey covers         = 3356 km

                              (19÷100) x x = 3356

                                  0.19 x x        = 3356

                                             x       = 3356÷0.19

                                                      =  177 km 

The length of the whole journey is 177km



5)  

 10 of a journey covers 4901km. How long is the whole journey

Answer: 490km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

10% of the journey covers         = 4901 km

                              (10÷100) x x = 4901

                                  0.1 x x        = 4901

                                             x       = 4901÷0.1

                                                      =  490 km 

The length of the whole journey is 490km



6)  

 20 of a journey covers 2138km. How long is the whole journey

Answer: 107km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

20% of the journey covers         = 2138 km

                              (20÷100) x x = 2138

                                  0.2 x x        = 2138

                                             x       = 2138÷0.2

                                                      =  107 km 

The length of the whole journey is 107km



7)  

 20 of a journey covers 3894km. How long is the whole journey

Answer: 195km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

20% of the journey covers         = 3894 km

                              (20÷100) x x = 3894

                                  0.2 x x        = 3894

                                             x       = 3894÷0.2

                                                      =  195 km 

The length of the whole journey is 195km



8)  

 22 of a journey covers 4428km. How long is the whole journey

Answer: 201km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 4428 km

                              (22÷100) x x = 4428

                                  0.22 x x        = 4428

                                             x       = 4428÷0.22

                                                      =  201 km 

The length of the whole journey is 201km



9)  

 13 of a journey covers 3738km. How long is the whole journey

Answer: 288km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

13% of the journey covers         = 3738 km

                              (13÷100) x x = 3738

                                  0.13 x x        = 3738

                                             x       = 3738÷0.13

                                                      =  288 km 

The length of the whole journey is 288km



10)  

 12 of a journey covers 3173km. How long is the whole journey

Answer: 264km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

12% of the journey covers         = 3173 km

                              (12÷100) x x = 3173

                                  0.12 x x        = 3173

                                             x       = 3173÷0.12

                                                      =  264 km 

The length of the whole journey is 264km