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)  

 24 of a journey covers 3502km. How long is the whole journey

km


Answer:_______________




2)  

 22 of a journey covers 3210km. How long is the whole journey

km


Answer:_______________




3)  

 20 of a journey covers 3716km. How long is the whole journey

km


Answer:_______________




4)  

 22 of a journey covers 2640km. How long is the whole journey

km


Answer:_______________




5)  

 25 of a journey covers 2402km. How long is the whole journey

km


Answer:_______________




6)  

 16 of a journey covers 4585km. How long is the whole journey

km


Answer:_______________




7)  

 18 of a journey covers 3712km. How long is the whole journey

km


Answer:_______________




8)  

 17 of a journey covers 4302km. How long is the whole journey

km


Answer:_______________




9)  

 18 of a journey covers 3181km. How long is the whole journey

km


Answer:_______________




10)  

 12 of a journey covers 2243km. How long is the whole journey

km


Answer:_______________




 

1)  

 24 of a journey covers 3502km. How long is the whole journey

Answer: 146km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

24% of the journey covers         = 3502 km

                              (24÷100) x x = 3502

                                  0.24 x x        = 3502

                                             x       = 3502÷0.24

                                                      =  146 km 

The length of the whole journey is 146km



2)  

 22 of a journey covers 3210km. How long is the whole journey

Answer: 146km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 3210 km

                              (22÷100) x x = 3210

                                  0.22 x x        = 3210

                                             x       = 3210÷0.22

                                                      =  146 km 

The length of the whole journey is 146km



3)  

 20 of a journey covers 3716km. How long is the whole journey

Answer: 186km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

20% of the journey covers         = 3716 km

                              (20÷100) x x = 3716

                                  0.2 x x        = 3716

                                             x       = 3716÷0.2

                                                      =  186 km 

The length of the whole journey is 186km



4)  

 22 of a journey covers 2640km. How long is the whole journey

Answer: 120km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 2640 km

                              (22÷100) x x = 2640

                                  0.22 x x        = 2640

                                             x       = 2640÷0.22

                                                      =  120 km 

The length of the whole journey is 120km



5)  

 25 of a journey covers 2402km. How long is the whole journey

Answer: 96km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

25% of the journey covers         = 2402 km

                              (25÷100) x x = 2402

                                  0.25 x x        = 2402

                                             x       = 2402÷0.25

                                                      =  96 km 

The length of the whole journey is 96km



6)  

 16 of a journey covers 4585km. How long is the whole journey

Answer: 287km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

16% of the journey covers         = 4585 km

                              (16÷100) x x = 4585

                                  0.16 x x        = 4585

                                             x       = 4585÷0.16

                                                      =  287 km 

The length of the whole journey is 287km



7)  

 18 of a journey covers 3712km. How long is the whole journey

Answer: 206km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

18% of the journey covers         = 3712 km

                              (18÷100) x x = 3712

                                  0.18 x x        = 3712

                                             x       = 3712÷0.18

                                                      =  206 km 

The length of the whole journey is 206km



8)  

 17 of a journey covers 4302km. How long is the whole journey

Answer: 253km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

17% of the journey covers         = 4302 km

                              (17÷100) x x = 4302

                                  0.17 x x        = 4302

                                             x       = 4302÷0.17

                                                      =  253 km 

The length of the whole journey is 253km



9)  

 18 of a journey covers 3181km. How long is the whole journey

Answer: 177km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

18% of the journey covers         = 3181 km

                              (18÷100) x x = 3181

                                  0.18 x x        = 3181

                                             x       = 3181÷0.18

                                                      =  177 km 

The length of the whole journey is 177km



10)  

 12 of a journey covers 2243km. How long is the whole journey

Answer: 187km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

12% of the journey covers         = 2243 km

                              (12÷100) x x = 2243

                                  0.12 x x        = 2243

                                             x       = 2243÷0.12

                                                      =  187 km 

The length of the whole journey is 187km