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 10% and still gains 26% .What is the cost price of the book which is marked at 289


Answer:_______________




2)  

 A dealer allows a discount of 15% and still gains 24% .What is the cost price of the book which is marked at 240


Answer:_______________




3)  

 A dealer allows a discount of 13% and still gains 30% .What is the cost price of the book which is marked at 226


Answer:_______________




4)  

 A dealer allows a discount of 15% and still gains 16% .What is the cost price of the book which is marked at 443


Answer:_______________




5)  

 A dealer allows a discount of 24% and still gains 19% .What is the cost price of the book which is marked at 352


Answer:_______________




6)  

 A dealer allows a discount of 29% and still gains 25% .What is the cost price of the book which is marked at 280


Answer:_______________




7)  

 A dealer allows a discount of 26% and still gains 20% .What is the cost price of the book which is marked at 278


Answer:_______________




8)  

 A dealer allows a discount of 25% and still gains 20% .What is the cost price of the book which is marked at 430


Answer:_______________




9)  

 A dealer allows a discount of 10% and still gains 23% .What is the cost price of the book which is marked at 231


Answer:_______________




10)  

 A dealer allows a discount of 12% and still gains 28% .What is the cost price of the book which is marked at 377


Answer:_______________




 

1)  

 A dealer allows a discount of 10% and still gains 26% .What is the cost price of the book which is marked at 289

Answer: 206.43


SOLUTION 1 :

Given :

     Discount   =   10%

     Gain         =   26%

      M.P         =     289

      C.P          =    (100-Discount%)÷(100+Gain%) x 289

                      =   (90÷126) x 289

                      =   (0.71428571428571 x 289)

                      =     206.43

                      



2)  

 A dealer allows a discount of 15% and still gains 24% .What is the cost price of the book which is marked at 240

Answer: 164.52


SOLUTION 1 :

Given :

     Discount   =   15%

     Gain         =   24%

      M.P         =     240

      C.P          =    (100-Discount%)÷(100+Gain%) x 240

                      =   (85÷124) x 240

                      =   (0.68548387096774 x 240)

                      =     164.52

                      



3)  

 A dealer allows a discount of 13% and still gains 30% .What is the cost price of the book which is marked at 226

Answer: 151.25


SOLUTION 1 :

Given :

     Discount   =   13%

     Gain         =   30%

      M.P         =     226

      C.P          =    (100-Discount%)÷(100+Gain%) x 226

                      =   (87÷130) x 226

                      =   (0.66923076923077 x 226)

                      =     151.25

                      



4)  

 A dealer allows a discount of 15% and still gains 16% .What is the cost price of the book which is marked at 443

Answer: 324.61


SOLUTION 1 :

Given :

     Discount   =   15%

     Gain         =   16%

      M.P         =     443

      C.P          =    (100-Discount%)÷(100+Gain%) x 443

                      =   (85÷116) x 443

                      =   (0.73275862068966 x 443)

                      =     324.61

                      



5)  

 A dealer allows a discount of 24% and still gains 19% .What is the cost price of the book which is marked at 352

Answer: 224.81


SOLUTION 1 :

Given :

     Discount   =   24%

     Gain         =   19%

      M.P         =     352

      C.P          =    (100-Discount%)÷(100+Gain%) x 352

                      =   (76÷119) x 352

                      =   (0.63865546218487 x 352)

                      =     224.81

                      



6)  

 A dealer allows a discount of 29% and still gains 25% .What is the cost price of the book which is marked at 280

Answer: 159.04


SOLUTION 1 :

Given :

     Discount   =   29%

     Gain         =   25%

      M.P         =     280

      C.P          =    (100-Discount%)÷(100+Gain%) x 280

                      =   (71÷125) x 280

                      =   (0.568 x 280)

                      =     159.04

                      



7)  

 A dealer allows a discount of 26% and still gains 20% .What is the cost price of the book which is marked at 278

Answer: 171.43


SOLUTION 1 :

Given :

     Discount   =   26%

     Gain         =   20%

      M.P         =     278

      C.P          =    (100-Discount%)÷(100+Gain%) x 278

                      =   (74÷120) x 278

                      =   (0.61666666666667 x 278)

                      =     171.43

                      



8)  

 A dealer allows a discount of 25% and still gains 20% .What is the cost price of the book which is marked at 430

Answer: 268.75


SOLUTION 1 :

Given :

     Discount   =   25%

     Gain         =   20%

      M.P         =     430

      C.P          =    (100-Discount%)÷(100+Gain%) x 430

                      =   (75÷120) x 430

                      =   (0.625 x 430)

                      =     268.75

                      



9)  

 A dealer allows a discount of 10% and still gains 23% .What is the cost price of the book which is marked at 231

Answer: 169.02


SOLUTION 1 :

Given :

     Discount   =   10%

     Gain         =   23%

      M.P         =     231

      C.P          =    (100-Discount%)÷(100+Gain%) x 231

                      =   (90÷123) x 231

                      =   (0.73170731707317 x 231)

                      =     169.02

                      



10)  

 A dealer allows a discount of 12% and still gains 28% .What is the cost price of the book which is marked at 377

Answer: 259.19


SOLUTION 1 :

Given :

     Discount   =   12%

     Gain         =   28%

      M.P         =     377

      C.P          =    (100-Discount%)÷(100+Gain%) x 377

                      =   (88÷128) x 377

                      =   (0.6875 x 377)

                      =     259.19