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 14% .What is the cost price of the book which is marked at 385


Answer:_______________




2)  

 A dealer allows a discount of 21% and still gains 24% .What is the cost price of the book which is marked at 354


Answer:_______________




3)  

 A dealer allows a discount of 23% and still gains 30% .What is the cost price of the book which is marked at 455


Answer:_______________




4)  

 A dealer allows a discount of 15% and still gains 12% .What is the cost price of the book which is marked at 433


Answer:_______________




5)  

 A dealer allows a discount of 12% and still gains 20% .What is the cost price of the book which is marked at 210


Answer:_______________




6)  

 A dealer allows a discount of 27% and still gains 12% .What is the cost price of the book which is marked at 404


Answer:_______________




7)  

 A dealer allows a discount of 16% and still gains 26% .What is the cost price of the book which is marked at 310


Answer:_______________




8)  

 A dealer allows a discount of 27% and still gains 28% .What is the cost price of the book which is marked at 476


Answer:_______________




9)  

 A dealer allows a discount of 22% and still gains 26% .What is the cost price of the book which is marked at 202


Answer:_______________




10)  

 A dealer allows a discount of 26% and still gains 11% .What is the cost price of the book which is marked at 271


Answer:_______________




 

1)  

 A dealer allows a discount of 23% and still gains 14% .What is the cost price of the book which is marked at 385

Answer: 260.04


SOLUTION 1 :

Given :

     Discount   =   23%

     Gain         =   14%

      M.P         =     385

      C.P          =    (100-Discount%)÷(100+Gain%) x 385

                      =   (77÷114) x 385

                      =   (0.675438596491 x 385)

                      =     260.04

                      



2)  

 A dealer allows a discount of 21% and still gains 24% .What is the cost price of the book which is marked at 354

Answer: 225.53


SOLUTION 1 :

Given :

     Discount   =   21%

     Gain         =   24%

      M.P         =     354

      C.P          =    (100-Discount%)÷(100+Gain%) x 354

                      =   (79÷124) x 354

                      =   (0.637096774194 x 354)

                      =     225.53

                      



3)  

 A dealer allows a discount of 23% and still gains 30% .What is the cost price of the book which is marked at 455

Answer: 269.50


SOLUTION 1 :

Given :

     Discount   =   23%

     Gain         =   30%

      M.P         =     455

      C.P          =    (100-Discount%)÷(100+Gain%) x 455

                      =   (77÷130) x 455

                      =   (0.592307692308 x 455)

                      =     269.50

                      



4)  

 A dealer allows a discount of 15% and still gains 12% .What is the cost price of the book which is marked at 433

Answer: 328.62


SOLUTION 1 :

Given :

     Discount   =   15%

     Gain         =   12%

      M.P         =     433

      C.P          =    (100-Discount%)÷(100+Gain%) x 433

                      =   (85÷112) x 433

                      =   (0.758928571429 x 433)

                      =     328.62

                      



5)  

 A dealer allows a discount of 12% and still gains 20% .What is the cost price of the book which is marked at 210

Answer: 154.00


SOLUTION 1 :

Given :

     Discount   =   12%

     Gain         =   20%

      M.P         =     210

      C.P          =    (100-Discount%)÷(100+Gain%) x 210

                      =   (88÷120) x 210

                      =   (0.733333333333 x 210)

                      =     154.00

                      



6)  

 A dealer allows a discount of 27% and still gains 12% .What is the cost price of the book which is marked at 404

Answer: 263.32


SOLUTION 1 :

Given :

     Discount   =   27%

     Gain         =   12%

      M.P         =     404

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

                      =   (73÷112) x 404

                      =   (0.651785714286 x 404)

                      =     263.32

                      



7)  

 A dealer allows a discount of 16% and still gains 26% .What is the cost price of the book which is marked at 310

Answer: 206.67


SOLUTION 1 :

Given :

     Discount   =   16%

     Gain         =   26%

      M.P         =     310

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

                      =   (84÷126) x 310

                      =   (0.666666666667 x 310)

                      =     206.67

                      



8)  

 A dealer allows a discount of 27% and still gains 28% .What is the cost price of the book which is marked at 476

Answer: 271.47


SOLUTION 1 :

Given :

     Discount   =   27%

     Gain         =   28%

      M.P         =     476

      C.P          =    (100-Discount%)÷(100+Gain%) x 476

                      =   (73÷128) x 476

                      =   (0.5703125 x 476)

                      =     271.47

                      



9)  

 A dealer allows a discount of 22% and still gains 26% .What is the cost price of the book which is marked at 202

Answer: 125.05


SOLUTION 1 :

Given :

     Discount   =   22%

     Gain         =   26%

      M.P         =     202

      C.P          =    (100-Discount%)÷(100+Gain%) x 202

                      =   (78÷126) x 202

                      =   (0.619047619048 x 202)

                      =     125.05

                      



10)  

 A dealer allows a discount of 26% and still gains 11% .What is the cost price of the book which is marked at 271

Answer: 180.67


SOLUTION 1 :

Given :

     Discount   =   26%

     Gain         =   11%

      M.P         =     271

      C.P          =    (100-Discount%)÷(100+Gain%) x 271

                      =   (74÷111) x 271

                      =   (0.666666666667 x 271)

                      =     180.67