Scroll:Life mathematics >> profit and loss >> saq (4267)

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)  

 A dealer allows a discount of 18% and still gains 30% .What is the cost price of the book which is marked at 414


Answer:_______________




2)  

 A dealer allows a discount of 17% and still gains 10% .What is the cost price of the book which is marked at 230


Answer:_______________




3)  

 A dealer allows a discount of 27% and still gains 16% .What is the cost price of the book which is marked at 323


Answer:_______________




4)  

 A dealer allows a discount of 27% and still gains 21% .What is the cost price of the book which is marked at 387


Answer:_______________




5)  

 A dealer allows a discount of 23% and still gains 18% .What is the cost price of the book which is marked at 311


Answer:_______________




6)  

 A dealer allows a discount of 14% and still gains 27% .What is the cost price of the book which is marked at 474


Answer:_______________




7)  

 A dealer allows a discount of 11% and still gains 16% .What is the cost price of the book which is marked at 313


Answer:_______________




8)  

 A dealer allows a discount of 26% and still gains 19% .What is the cost price of the book which is marked at 228


Answer:_______________




9)  

 A dealer allows a discount of 17% and still gains 17% .What is the cost price of the book which is marked at 477


Answer:_______________




10)  

 A dealer allows a discount of 21% and still gains 22% .What is the cost price of the book which is marked at 343


Answer:_______________




 

1)  

 A dealer allows a discount of 18% and still gains 30% .What is the cost price of the book which is marked at 414

Answer: 261.14


SOLUTION 1 :

Given :

     Discount   =   18%

     Gain         =   30%

      M.P         =     414

      C.P          =    (100-Discount%)÷(100+Gain%) x 414

                      =   (82÷130) x 414

                      =   (0.63076923076923 x 414)

                      =     261.14

                      



2)  

 A dealer allows a discount of 17% and still gains 10% .What is the cost price of the book which is marked at 230

Answer: 173.55


SOLUTION 1 :

Given :

     Discount   =   17%

     Gain         =   10%

      M.P         =     230

      C.P          =    (100-Discount%)÷(100+Gain%) x 230

                      =   (83÷110) x 230

                      =   (0.75454545454545 x 230)

                      =     173.55

                      



3)  

 A dealer allows a discount of 27% and still gains 16% .What is the cost price of the book which is marked at 323

Answer: 203.27


SOLUTION 1 :

Given :

     Discount   =   27%

     Gain         =   16%

      M.P         =     323

      C.P          =    (100-Discount%)÷(100+Gain%) x 323

                      =   (73÷116) x 323

                      =   (0.62931034482759 x 323)

                      =     203.27

                      



4)  

 A dealer allows a discount of 27% and still gains 21% .What is the cost price of the book which is marked at 387

Answer: 233.48


SOLUTION 1 :

Given :

     Discount   =   27%

     Gain         =   21%

      M.P         =     387

      C.P          =    (100-Discount%)÷(100+Gain%) x 387

                      =   (73÷121) x 387

                      =   (0.60330578512397 x 387)

                      =     233.48

                      



5)  

 A dealer allows a discount of 23% and still gains 18% .What is the cost price of the book which is marked at 311

Answer: 202.94


SOLUTION 1 :

Given :

     Discount   =   23%

     Gain         =   18%

      M.P         =     311

      C.P          =    (100-Discount%)÷(100+Gain%) x 311

                      =   (77÷118) x 311

                      =   (0.65254237288136 x 311)

                      =     202.94

                      



6)  

 A dealer allows a discount of 14% and still gains 27% .What is the cost price of the book which is marked at 474

Answer: 320.98


SOLUTION 1 :

Given :

     Discount   =   14%

     Gain         =   27%

      M.P         =     474

      C.P          =    (100-Discount%)÷(100+Gain%) x 474

                      =   (86÷127) x 474

                      =   (0.67716535433071 x 474)

                      =     320.98

                      



7)  

 A dealer allows a discount of 11% and still gains 16% .What is the cost price of the book which is marked at 313

Answer: 240.15


SOLUTION 1 :

Given :

     Discount   =   11%

     Gain         =   16%

      M.P         =     313

      C.P          =    (100-Discount%)÷(100+Gain%) x 313

                      =   (89÷116) x 313

                      =   (0.76724137931034 x 313)

                      =     240.15

                      



8)  

 A dealer allows a discount of 26% and still gains 19% .What is the cost price of the book which is marked at 228

Answer: 141.78


SOLUTION 1 :

Given :

     Discount   =   26%

     Gain         =   19%

      M.P         =     228

      C.P          =    (100-Discount%)÷(100+Gain%) x 228

                      =   (74÷119) x 228

                      =   (0.6218487394958 x 228)

                      =     141.78

                      



9)  

 A dealer allows a discount of 17% and still gains 17% .What is the cost price of the book which is marked at 477

Answer: 338.38


SOLUTION 1 :

Given :

     Discount   =   17%

     Gain         =   17%

      M.P         =     477

      C.P          =    (100-Discount%)÷(100+Gain%) x 477

                      =   (83÷117) x 477

                      =   (0.70940170940171 x 477)

                      =     338.38

                      



10)  

 A dealer allows a discount of 21% and still gains 22% .What is the cost price of the book which is marked at 343

Answer: 222.11


SOLUTION 1 :

Given :

     Discount   =   21%

     Gain         =   22%

      M.P         =     343

      C.P          =    (100-Discount%)÷(100+Gain%) x 343

                      =   (79÷122) x 343

                      =   (0.64754098360656 x 343)

                      =     222.11