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 380


Answer:_______________




2)  

 A dealer allows a discount of 14% and still gains 30% .What is the cost price of the book which is marked at 326


Answer:_______________




3)  

 A dealer allows a discount of 19% and still gains 13% .What is the cost price of the book which is marked at 310


Answer:_______________




4)  

 A dealer allows a discount of 27% and still gains 17% .What is the cost price of the book which is marked at 394


Answer:_______________




5)  

 A dealer allows a discount of 12% and still gains 24% .What is the cost price of the book which is marked at 404


Answer:_______________




6)  

 A dealer allows a discount of 30% and still gains 20% .What is the cost price of the book which is marked at 204


Answer:_______________




7)  

 A dealer allows a discount of 25% and still gains 13% .What is the cost price of the book which is marked at 307


Answer:_______________




8)  

 A dealer allows a discount of 17% and still gains 22% .What is the cost price of the book which is marked at 209


Answer:_______________




9)  

 A dealer allows a discount of 28% and still gains 12% .What is the cost price of the book which is marked at 358


Answer:_______________




10)  

 A dealer allows a discount of 20% and still gains 26% .What is the cost price of the book which is marked at 365


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 380

Answer: 290.00


SOLUTION 1 :

Given :

     Discount   =   13%

     Gain         =   14%

      M.P         =     380

      C.P          =    (100-Discount%)÷(100+Gain%) x 380

                      =   (87÷114) x 380

                      =   (0.763157894737 x 380)

                      =     290.00

                      



2)  

 A dealer allows a discount of 14% and still gains 30% .What is the cost price of the book which is marked at 326

Answer: 215.66


SOLUTION 1 :

Given :

     Discount   =   14%

     Gain         =   30%

      M.P         =     326

      C.P          =    (100-Discount%)÷(100+Gain%) x 326

                      =   (86÷130) x 326

                      =   (0.661538461538 x 326)

                      =     215.66

                      



3)  

 A dealer allows a discount of 19% and still gains 13% .What is the cost price of the book which is marked at 310

Answer: 222.21


SOLUTION 1 :

Given :

     Discount   =   19%

     Gain         =   13%

      M.P         =     310

      C.P          =    (100-Discount%)÷(100+Gain%) x 310

                      =   (81÷113) x 310

                      =   (0.716814159292 x 310)

                      =     222.21

                      



4)  

 A dealer allows a discount of 27% and still gains 17% .What is the cost price of the book which is marked at 394

Answer: 245.83


SOLUTION 1 :

Given :

     Discount   =   27%

     Gain         =   17%

      M.P         =     394

      C.P          =    (100-Discount%)÷(100+Gain%) x 394

                      =   (73÷117) x 394

                      =   (0.623931623932 x 394)

                      =     245.83

                      



5)  

 A dealer allows a discount of 12% and still gains 24% .What is the cost price of the book which is marked at 404

Answer: 286.71


SOLUTION 1 :

Given :

     Discount   =   12%

     Gain         =   24%

      M.P         =     404

      C.P          =    (100-Discount%)÷(100+Gain%) x 404

                      =   (88÷124) x 404

                      =   (0.709677419355 x 404)

                      =     286.71

                      



6)  

 A dealer allows a discount of 30% and still gains 20% .What is the cost price of the book which is marked at 204

Answer: 119.00


SOLUTION 1 :

Given :

     Discount   =   30%

     Gain         =   20%

      M.P         =     204

      C.P          =    (100-Discount%)÷(100+Gain%) x 204

                      =   (70÷120) x 204

                      =   (0.583333333333 x 204)

                      =     119.00

                      



7)  

 A dealer allows a discount of 25% and still gains 13% .What is the cost price of the book which is marked at 307

Answer: 203.76


SOLUTION 1 :

Given :

     Discount   =   25%

     Gain         =   13%

      M.P         =     307

      C.P          =    (100-Discount%)÷(100+Gain%) x 307

                      =   (75÷113) x 307

                      =   (0.663716814159 x 307)

                      =     203.76

                      



8)  

 A dealer allows a discount of 17% and still gains 22% .What is the cost price of the book which is marked at 209

Answer: 142.19


SOLUTION 1 :

Given :

     Discount   =   17%

     Gain         =   22%

      M.P         =     209

      C.P          =    (100-Discount%)÷(100+Gain%) x 209

                      =   (83÷122) x 209

                      =   (0.680327868852 x 209)

                      =     142.19

                      



9)  

 A dealer allows a discount of 28% and still gains 12% .What is the cost price of the book which is marked at 358

Answer: 230.14


SOLUTION 1 :

Given :

     Discount   =   28%

     Gain         =   12%

      M.P         =     358

      C.P          =    (100-Discount%)÷(100+Gain%) x 358

                      =   (72÷112) x 358

                      =   (0.642857142857 x 358)

                      =     230.14

                      



10)  

 A dealer allows a discount of 20% and still gains 26% .What is the cost price of the book which is marked at 365

Answer: 231.75


SOLUTION 1 :

Given :

     Discount   =   20%

     Gain         =   26%

      M.P         =     365

      C.P          =    (100-Discount%)÷(100+Gain%) x 365

                      =   (80÷126) x 365

                      =   (0.634920634921 x 365)

                      =     231.75