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 23% and still gains 18% .What is the cost price of the book which is marked at 243


Answer:_______________




2)  

 A dealer allows a discount of 12% and still gains 10% .What is the cost price of the book which is marked at 327


Answer:_______________




3)  

 A dealer allows a discount of 11% and still gains 13% .What is the cost price of the book which is marked at 223


Answer:_______________




4)  

 A dealer allows a discount of 13% and still gains 23% .What is the cost price of the book which is marked at 408


Answer:_______________




5)  

 A dealer allows a discount of 16% and still gains 25% .What is the cost price of the book which is marked at 253


Answer:_______________




6)  

 A dealer allows a discount of 12% and still gains 14% .What is the cost price of the book which is marked at 390


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 226


Answer:_______________




8)  

 A dealer allows a discount of 12% and still gains 22% .What is the cost price of the book which is marked at 356


Answer:_______________




9)  

 A dealer allows a discount of 16% and still gains 15% .What is the cost price of the book which is marked at 369


Answer:_______________




10)  

 A dealer allows a discount of 24% and still gains 20% .What is the cost price of the book which is marked at 467


Answer:_______________




 

1)  

 A dealer allows a discount of 23% and still gains 18% .What is the cost price of the book which is marked at 243

Answer: 158.57


SOLUTION 1 :

Given :

     Discount   =   23%

     Gain         =   18%

      M.P         =     243

      C.P          =    (100-Discount%)÷(100+Gain%) x 243

                      =   (77÷118) x 243

                      =   (0.65254237288136 x 243)

                      =     158.57

                      



2)  

 A dealer allows a discount of 12% and still gains 10% .What is the cost price of the book which is marked at 327

Answer: 261.60


SOLUTION 1 :

Given :

     Discount   =   12%

     Gain         =   10%

      M.P         =     327

      C.P          =    (100-Discount%)÷(100+Gain%) x 327

                      =   (88÷110) x 327

                      =   (0.8 x 327)

                      =     261.60

                      



3)  

 A dealer allows a discount of 11% and still gains 13% .What is the cost price of the book which is marked at 223

Answer: 175.64


SOLUTION 1 :

Given :

     Discount   =   11%

     Gain         =   13%

      M.P         =     223

      C.P          =    (100-Discount%)÷(100+Gain%) x 223

                      =   (89÷113) x 223

                      =   (0.78761061946903 x 223)

                      =     175.64

                      



4)  

 A dealer allows a discount of 13% and still gains 23% .What is the cost price of the book which is marked at 408

Answer: 288.59


SOLUTION 1 :

Given :

     Discount   =   13%

     Gain         =   23%

      M.P         =     408

      C.P          =    (100-Discount%)÷(100+Gain%) x 408

                      =   (87÷123) x 408

                      =   (0.70731707317073 x 408)

                      =     288.59

                      



5)  

 A dealer allows a discount of 16% and still gains 25% .What is the cost price of the book which is marked at 253

Answer: 170.02


SOLUTION 1 :

Given :

     Discount   =   16%

     Gain         =   25%

      M.P         =     253

      C.P          =    (100-Discount%)÷(100+Gain%) x 253

                      =   (84÷125) x 253

                      =   (0.672 x 253)

                      =     170.02

                      



6)  

 A dealer allows a discount of 12% and still gains 14% .What is the cost price of the book which is marked at 390

Answer: 301.05


SOLUTION 1 :

Given :

     Discount   =   12%

     Gain         =   14%

      M.P         =     390

      C.P          =    (100-Discount%)÷(100+Gain%) x 390

                      =   (88÷114) x 390

                      =   (0.7719298245614 x 390)

                      =     301.05

                      



7)  

 A dealer allows a discount of 29% and still gains 18% .What is the cost price of the book which is marked at 226

Answer: 135.98


SOLUTION 1 :

Given :

     Discount   =   29%

     Gain         =   18%

      M.P         =     226

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

                      =   (71÷118) x 226

                      =   (0.60169491525424 x 226)

                      =     135.98

                      



8)  

 A dealer allows a discount of 12% and still gains 22% .What is the cost price of the book which is marked at 356

Answer: 256.79


SOLUTION 1 :

Given :

     Discount   =   12%

     Gain         =   22%

      M.P         =     356

      C.P          =    (100-Discount%)÷(100+Gain%) x 356

                      =   (88÷122) x 356

                      =   (0.72131147540984 x 356)

                      =     256.79

                      



9)  

 A dealer allows a discount of 16% and still gains 15% .What is the cost price of the book which is marked at 369

Answer: 269.53


SOLUTION 1 :

Given :

     Discount   =   16%

     Gain         =   15%

      M.P         =     369

      C.P          =    (100-Discount%)÷(100+Gain%) x 369

                      =   (84÷115) x 369

                      =   (0.7304347826087 x 369)

                      =     269.53

                      



10)  

 A dealer allows a discount of 24% and still gains 20% .What is the cost price of the book which is marked at 467

Answer: 295.77


SOLUTION 1 :

Given :

     Discount   =   24%

     Gain         =   20%

      M.P         =     467

      C.P          =    (100-Discount%)÷(100+Gain%) x 467

                      =   (76÷120) x 467

                      =   (0.63333333333333 x 467)

                      =     295.77