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)  

 16 of a journey covers 3017km. How long is the whole journey

km


Answer:_______________




2)  

 18 of a journey covers 4095km. How long is the whole journey

km


Answer:_______________




3)  

 19 of a journey covers 4982km. How long is the whole journey

km


Answer:_______________




4)  

 12 of a journey covers 3190km. How long is the whole journey

km


Answer:_______________




5)  

 18 of a journey covers 3698km. How long is the whole journey

km


Answer:_______________




6)  

 17 of a journey covers 3896km. How long is the whole journey

km


Answer:_______________




7)  

 10 of a journey covers 2224km. How long is the whole journey

km


Answer:_______________




8)  

 17 of a journey covers 2670km. How long is the whole journey

km


Answer:_______________




9)  

 17 of a journey covers 2711km. How long is the whole journey

km


Answer:_______________




10)  

 22 of a journey covers 4836km. How long is the whole journey

km


Answer:_______________




 

1)  

 16 of a journey covers 3017km. 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         = 3017 km

                              (16÷100) x x = 3017

                                  0.16 x x        = 3017

                                             x       = 3017÷0.16

                                                      =  189 km 

The length of the whole journey is 189km



2)  

 18 of a journey covers 4095km. How long is the whole journey

Answer: 228km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

18% of the journey covers         = 4095 km

                              (18÷100) x x = 4095

                                  0.18 x x        = 4095

                                             x       = 4095÷0.18

                                                      =  228 km 

The length of the whole journey is 228km



3)  

 19 of a journey covers 4982km. How long is the whole journey

Answer: 262km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

19% of the journey covers         = 4982 km

                              (19÷100) x x = 4982

                                  0.19 x x        = 4982

                                             x       = 4982÷0.19

                                                      =  262 km 

The length of the whole journey is 262km



4)  

 12 of a journey covers 3190km. How long is the whole journey

Answer: 266km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

12% of the journey covers         = 3190 km

                              (12÷100) x x = 3190

                                  0.12 x x        = 3190

                                             x       = 3190÷0.12

                                                      =  266 km 

The length of the whole journey is 266km



5)  

 18 of a journey covers 3698km. How long is the whole journey

Answer: 205km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

18% of the journey covers         = 3698 km

                              (18÷100) x x = 3698

                                  0.18 x x        = 3698

                                             x       = 3698÷0.18

                                                      =  205 km 

The length of the whole journey is 205km



6)  

 17 of a journey covers 3896km. How long is the whole journey

Answer: 229km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

17% of the journey covers         = 3896 km

                              (17÷100) x x = 3896

                                  0.17 x x        = 3896

                                             x       = 3896÷0.17

                                                      =  229 km 

The length of the whole journey is 229km



7)  

 10 of a journey covers 2224km. How long is the whole journey

Answer: 222km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

10% of the journey covers         = 2224 km

                              (10÷100) x x = 2224

                                  0.1 x x        = 2224

                                             x       = 2224÷0.1

                                                      =  222 km 

The length of the whole journey is 222km



8)  

 17 of a journey covers 2670km. How long is the whole journey

Answer: 157km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

17% of the journey covers         = 2670 km

                              (17÷100) x x = 2670

                                  0.17 x x        = 2670

                                             x       = 2670÷0.17

                                                      =  157 km 

The length of the whole journey is 157km



9)  

 17 of a journey covers 2711km. How long is the whole journey

Answer: 159km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

17% of the journey covers         = 2711 km

                              (17÷100) x x = 2711

                                  0.17 x x        = 2711

                                             x       = 2711÷0.17

                                                      =  159 km 

The length of the whole journey is 159km



10)  

 22 of a journey covers 4836km. How long is the whole journey

Answer: 220km


SOLUTION 1 :

Given:

Let x be the length of the whole journey

22% of the journey covers         = 4836 km

                              (22÷100) x x = 4836

                                  0.22 x x        = 4836

                                             x       = 4836÷0.22

                                                      =  220 km 

The length of the whole journey is 220km