Question

a publisher sells a book for ₹168 at a profit of 20%.if his cost of production increase by 30 %,what should be the increase in the price of the book so that his percentage profit remains the same?

Answer 1

Given, SP1 = Rs 168

           Profit = 20%

 Hence, SP1 is 120% of CP1

=>168 = ×CP1

=>CP1 = 168×5/6

            =28×5 = 140

Now, cost of production is increased by 30%

So, new cp, CP2 = 140×

                            = 14×13 = 182

As per question, new profit percentage should be same as previous .

Hence new SP, SP2 = CP2 ×120%

                                 = 182 ×

                                 = 182 ×1.2 = 218.4

Increase in price of box = SP2-SP1

                                      = 218.4 -168

                                      = 50.4

 Ans : Rs 50.40          

Answer 2

Answer:

Step-by-step explanation:

Given, SP1 = Rs 168

          Profit = 20%

 Hence, SP1 is 120% of CP1

=>168 = ×CP1

=>CP1 = 168×5/6

           =28×5 = 140

Now, cost of production is increased by 30%

So, new cp, CP2 = 140×

                           = 14×13 = 182

As per question, new profit percentage should be same as previous .

Hence new SP, SP2 = CP2 ×120%

                                = 182 ×

                                = 182 ×1.2 = 218.4

Increase in price of box = SP2-SP1

                                     = 218.4 -168

                                     = 50.4

 Ans : Rs 50.40