1.

After receiving 3 successive discounts of 10%, 20% and 25% on MP of furniture, Maya purchased the furniture for rs. 9720. Determine the MP of the furniture.​

Answer»

ANSWER:

Price of furniture = 19285.71 Rs

Step-by-step explanation:

Let the price of furniture = x

The price after discount of 10% = x - 10% of x = x - x/10 = 9x / 10

The price after further discount of 20%  = 9x / 10 - 20% of 9x / 10

                                          = 9x / 10 - 18x/100 = 90x/100 - 18x / 100

                                                          = 72x / 100

The price after further 30% discount = 72x / 100 - 30% of 72x/100

                                                             = 720x/1000 - 3(72x)/1000                                                                    

                                                             =  720x/1000 - 216x/1000

                                                             = 504x/1000

According to given condition

                                      504x/1000 = 9720

                                                504x = 9720(1000)

                                                504x = 9720000

                                                       x = 9720000 / 504

                                                       x = 19,285.714285 Rs

Thus

Price of furniture = 19285.71 Rs



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