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 13% and still gains 14% .What is the cost price of the book which is marked at 488


Answer:_______________




2)  

 A dealer allows a discount of 20% and still gains 27% .What is the cost price of the book which is marked at 439


Answer:_______________




3)  

 A dealer allows a discount of 15% and still gains 13% .What is the cost price of the book which is marked at 409


Answer:_______________




4)  

 A dealer allows a discount of 13% and still gains 21% .What is the cost price of the book which is marked at 401


Answer:_______________




5)  

 A dealer allows a discount of 22% and still gains 20% .What is the cost price of the book which is marked at 274


Answer:_______________




6)  

 A dealer allows a discount of 19% and still gains 12% .What is the cost price of the book which is marked at 352


Answer:_______________




7)  

 A dealer allows a discount of 29% and still gains 18% .What is the cost price of the book which is marked at 447


Answer:_______________




8)  

 A dealer allows a discount of 24% and still gains 19% .What is the cost price of the book which is marked at 324


Answer:_______________




9)  

 A dealer allows a discount of 25% and still gains 17% .What is the cost price of the book which is marked at 469


Answer:_______________




10)  

 A dealer allows a discount of 20% and still gains 28% .What is the cost price of the book which is marked at 264


Answer:_______________




 

1)  

 A dealer allows a discount of 13% and still gains 14% .What is the cost price of the book which is marked at 488

Answer: 372.42


SOLUTION 1 :

Given :

     Discount   =   13%

     Gain         =   14%

      M.P         =     488

      C.P          =    (100-Discount%)÷(100+Gain%) x 488

                      =   (87÷114) x 488

                      =   (0.76315789473684 x 488)

                      =     372.42

                      



2)  

 A dealer allows a discount of 20% and still gains 27% .What is the cost price of the book which is marked at 439

Answer: 276.54


SOLUTION 1 :

Given :

     Discount   =   20%

     Gain         =   27%

      M.P         =     439

      C.P          =    (100-Discount%)÷(100+Gain%) x 439

                      =   (80÷127) x 439

                      =   (0.62992125984252 x 439)

                      =     276.54

                      



3)  

 A dealer allows a discount of 15% and still gains 13% .What is the cost price of the book which is marked at 409

Answer: 307.65


SOLUTION 1 :

Given :

     Discount   =   15%

     Gain         =   13%

      M.P         =     409

      C.P          =    (100-Discount%)÷(100+Gain%) x 409

                      =   (85÷113) x 409

                      =   (0.75221238938053 x 409)

                      =     307.65

                      



4)  

 A dealer allows a discount of 13% and still gains 21% .What is the cost price of the book which is marked at 401

Answer: 288.32


SOLUTION 1 :

Given :

     Discount   =   13%

     Gain         =   21%

      M.P         =     401

      C.P          =    (100-Discount%)÷(100+Gain%) x 401

                      =   (87÷121) x 401

                      =   (0.71900826446281 x 401)

                      =     288.32

                      



5)  

 A dealer allows a discount of 22% and still gains 20% .What is the cost price of the book which is marked at 274

Answer: 178.10


SOLUTION 1 :

Given :

     Discount   =   22%

     Gain         =   20%

      M.P         =     274

      C.P          =    (100-Discount%)÷(100+Gain%) x 274

                      =   (78÷120) x 274

                      =   (0.65 x 274)

                      =     178.10

                      



6)  

 A dealer allows a discount of 19% and still gains 12% .What is the cost price of the book which is marked at 352

Answer: 254.57


SOLUTION 1 :

Given :

     Discount   =   19%

     Gain         =   12%

      M.P         =     352

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

                      =   (81÷112) x 352

                      =   (0.72321428571429 x 352)

                      =     254.57

                      



7)  

 A dealer allows a discount of 29% and still gains 18% .What is the cost price of the book which is marked at 447

Answer: 268.96


SOLUTION 1 :

Given :

     Discount   =   29%

     Gain         =   18%

      M.P         =     447

      C.P          =    (100-Discount%)÷(100+Gain%) x 447

                      =   (71÷118) x 447

                      =   (0.60169491525424 x 447)

                      =     268.96

                      



8)  

 A dealer allows a discount of 24% and still gains 19% .What is the cost price of the book which is marked at 324

Answer: 206.92


SOLUTION 1 :

Given :

     Discount   =   24%

     Gain         =   19%

      M.P         =     324

      C.P          =    (100-Discount%)÷(100+Gain%) x 324

                      =   (76÷119) x 324

                      =   (0.63865546218487 x 324)

                      =     206.92

                      



9)  

 A dealer allows a discount of 25% and still gains 17% .What is the cost price of the book which is marked at 469

Answer: 300.64


SOLUTION 1 :

Given :

     Discount   =   25%

     Gain         =   17%

      M.P         =     469

      C.P          =    (100-Discount%)÷(100+Gain%) x 469

                      =   (75÷117) x 469

                      =   (0.64102564102564 x 469)

                      =     300.64

                      



10)  

 A dealer allows a discount of 20% and still gains 28% .What is the cost price of the book which is marked at 264

Answer: 165.00


SOLUTION 1 :

Given :

     Discount   =   20%

     Gain         =   28%

      M.P         =     264

      C.P          =    (100-Discount%)÷(100+Gain%) x 264

                      =   (80÷128) x 264

                      =   (0.625 x 264)

                      =     165.00