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)  

 21 of a journey covers 3593km. How long is the whole journey

km


Answer:_______________




2)  

 25 of a journey covers 2274km. How long is the whole journey

km


Answer:_______________




3)  

 16 of a journey covers 3626km. How long is the whole journey

km


Answer:_______________




4)  

 11 of a journey covers 3077km. How long is the whole journey

km


Answer:_______________




5)  

 13 of a journey covers 2365km. How long is the whole journey

km


Answer:_______________




6)  

 14 of a journey covers 2147km. How long is the whole journey

km


Answer:_______________




7)  

 23 of a journey covers 2506km. How long is the whole journey

km


Answer:_______________




8)  

 22 of a journey covers 2106km. How long is the whole journey

km


Answer:_______________




9)  

 19 of a journey covers 4787km. How long is the whole journey

km


Answer:_______________




10)  

 22 of a journey covers 2192km. How long is the whole journey

km


Answer:_______________




 

1)  

 21 of a journey covers 3593km. How long is the whole journey

Answer: 171km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

21% of the journey covers         = 3593 km

                              (21÷100) x x = 3593

                                  0.21 x x        = 3593

                                             x       = 3593÷0.21

                                                      =  171 km 

The length of the whole journey is 171km



2)  

 25 of a journey covers 2274km. How long is the whole journey

Answer: 91km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

25% of the journey covers         = 2274 km

                              (25÷100) x x = 2274

                                  0.25 x x        = 2274

                                             x       = 2274÷0.25

                                                      =  91 km 

The length of the whole journey is 91km



3)  

 16 of a journey covers 3626km. How long is the whole journey

Answer: 227km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

16% of the journey covers         = 3626 km

                              (16÷100) x x = 3626

                                  0.16 x x        = 3626

                                             x       = 3626÷0.16

                                                      =  227 km 

The length of the whole journey is 227km



4)  

 11 of a journey covers 3077km. How long is the whole journey

Answer: 280km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

11% of the journey covers         = 3077 km

                              (11÷100) x x = 3077

                                  0.11 x x        = 3077

                                             x       = 3077÷0.11

                                                      =  280 km 

The length of the whole journey is 280km



5)  

 13 of a journey covers 2365km. How long is the whole journey

Answer: 182km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

13% of the journey covers         = 2365 km

                              (13÷100) x x = 2365

                                  0.13 x x        = 2365

                                             x       = 2365÷0.13

                                                      =  182 km 

The length of the whole journey is 182km



6)  

 14 of a journey covers 2147km. How long is the whole journey

Answer: 153km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

14% of the journey covers         = 2147 km

                              (14÷100) x x = 2147

                                  0.14 x x        = 2147

                                             x       = 2147÷0.14

                                                      =  153 km 

The length of the whole journey is 153km



7)  

 23 of a journey covers 2506km. How long is the whole journey

Answer: 109km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

23% of the journey covers         = 2506 km

                              (23÷100) x x = 2506

                                  0.23 x x        = 2506

                                             x       = 2506÷0.23

                                                      =  109 km 

The length of the whole journey is 109km



8)  

 22 of a journey covers 2106km. How long is the whole journey

Answer: 96km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 2106 km

                              (22÷100) x x = 2106

                                  0.22 x x        = 2106

                                             x       = 2106÷0.22

                                                      =  96 km 

The length of the whole journey is 96km



9)  

 19 of a journey covers 4787km. How long is the whole journey

Answer: 252km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

19% of the journey covers         = 4787 km

                              (19÷100) x x = 4787

                                  0.19 x x        = 4787

                                             x       = 4787÷0.19

                                                      =  252 km 

The length of the whole journey is 252km



10)  

 22 of a journey covers 2192km. How long is the whole journey

Answer: 100km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 2192 km

                              (22÷100) x x = 2192

                                  0.22 x x        = 2192

                                             x       = 2192÷0.22

                                                      =  100 km 

The length of the whole journey is 100km