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 30% and still gains 24% .What is the cost price of the book which is marked at 293


Answer:_______________




2)  

 A dealer allows a discount of 17% and still gains 22% .What is the cost price of the book which is marked at 460


Answer:_______________




3)  

 A dealer allows a discount of 20% and still gains 14% .What is the cost price of the book which is marked at 367


Answer:_______________




4)  

 A dealer allows a discount of 11% and still gains 10% .What is the cost price of the book which is marked at 317


Answer:_______________




5)  

 A dealer allows a discount of 10% and still gains 28% .What is the cost price of the book which is marked at 367


Answer:_______________




6)  

 A dealer allows a discount of 22% and still gains 10% .What is the cost price of the book which is marked at 337


Answer:_______________




7)  

 A dealer allows a discount of 19% and still gains 26% .What is the cost price of the book which is marked at 431


Answer:_______________




8)  

 A dealer allows a discount of 15% and still gains 11% .What is the cost price of the book which is marked at 324


Answer:_______________




9)  

 A dealer allows a discount of 11% and still gains 18% .What is the cost price of the book which is marked at 280


Answer:_______________




10)  

 A dealer allows a discount of 29% and still gains 15% .What is the cost price of the book which is marked at 289


Answer:_______________




 

1)  

 A dealer allows a discount of 30% and still gains 24% .What is the cost price of the book which is marked at 293

Answer: 165.40


SOLUTION 1 :

Given :

     Discount   =   30%

     Gain         =   24%

      M.P         =     293

      C.P          =    (100-Discount%)÷(100+Gain%) x 293

                      =   (70÷124) x 293

                      =   (0.564516129032 x 293)

                      =     165.40

                      



2)  

 A dealer allows a discount of 17% and still gains 22% .What is the cost price of the book which is marked at 460

Answer: 312.95


SOLUTION 1 :

Given :

     Discount   =   17%

     Gain         =   22%

      M.P         =     460

      C.P          =    (100-Discount%)÷(100+Gain%) x 460

                      =   (83÷122) x 460

                      =   (0.680327868852 x 460)

                      =     312.95

                      



3)  

 A dealer allows a discount of 20% and still gains 14% .What is the cost price of the book which is marked at 367

Answer: 257.54


SOLUTION 1 :

Given :

     Discount   =   20%

     Gain         =   14%

      M.P         =     367

      C.P          =    (100-Discount%)÷(100+Gain%) x 367

                      =   (80÷114) x 367

                      =   (0.701754385965 x 367)

                      =     257.54

                      



4)  

 A dealer allows a discount of 11% and still gains 10% .What is the cost price of the book which is marked at 317

Answer: 256.48


SOLUTION 1 :

Given :

     Discount   =   11%

     Gain         =   10%

      M.P         =     317

      C.P          =    (100-Discount%)÷(100+Gain%) x 317

                      =   (89÷110) x 317

                      =   (0.809090909091 x 317)

                      =     256.48

                      



5)  

 A dealer allows a discount of 10% and still gains 28% .What is the cost price of the book which is marked at 367

Answer: 258.05


SOLUTION 1 :

Given :

     Discount   =   10%

     Gain         =   28%

      M.P         =     367

      C.P          =    (100-Discount%)÷(100+Gain%) x 367

                      =   (90÷128) x 367

                      =   (0.703125 x 367)

                      =     258.05

                      



6)  

 A dealer allows a discount of 22% and still gains 10% .What is the cost price of the book which is marked at 337

Answer: 238.96


SOLUTION 1 :

Given :

     Discount   =   22%

     Gain         =   10%

      M.P         =     337

      C.P          =    (100-Discount%)÷(100+Gain%) x 337

                      =   (78÷110) x 337

                      =   (0.709090909091 x 337)

                      =     238.96

                      



7)  

 A dealer allows a discount of 19% and still gains 26% .What is the cost price of the book which is marked at 431

Answer: 277.07


SOLUTION 1 :

Given :

     Discount   =   19%

     Gain         =   26%

      M.P         =     431

      C.P          =    (100-Discount%)÷(100+Gain%) x 431

                      =   (81÷126) x 431

                      =   (0.642857142857 x 431)

                      =     277.07

                      



8)  

 A dealer allows a discount of 15% and still gains 11% .What is the cost price of the book which is marked at 324

Answer: 248.11


SOLUTION 1 :

Given :

     Discount   =   15%

     Gain         =   11%

      M.P         =     324

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

                      =   (85÷111) x 324

                      =   (0.765765765766 x 324)

                      =     248.11

                      



9)  

 A dealer allows a discount of 11% and still gains 18% .What is the cost price of the book which is marked at 280

Answer: 211.19


SOLUTION 1 :

Given :

     Discount   =   11%

     Gain         =   18%

      M.P         =     280

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

                      =   (89÷118) x 280

                      =   (0.754237288136 x 280)

                      =     211.19

                      



10)  

 A dealer allows a discount of 29% and still gains 15% .What is the cost price of the book which is marked at 289

Answer: 178.43


SOLUTION 1 :

Given :

     Discount   =   29%

     Gain         =   15%

      M.P         =     289

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

                      =   (71÷115) x 289

                      =   (0.617391304348 x 289)

                      =     178.43