Question

matt sells washing machines to his customers at suçessive discounts of 29%,34%, and 15%.what is the single equivalent discount of the same?​​

Answer 1

Answer:

kindly refer to the attachment

Step-by-step explanation:

please mark me Brainlist

Answer 2

Answer:

In this question we will find the single equivalent discount using the given three successive discounts $29$%, $34$%, $15%$%.

Final Answer is, Single Equivalent Discount = $60.17%$%.

Step-by-step explanation:

For solving this sum, we assume that, the cost price(CP) of washing machine is Rs.100.

Then $29$% discount means Selling Price is,

Selling Price(SP) of washing machines for first discount $29$%.      

                        $SP=CP-\frac{CP*discount value}{100}$

That is,                  $=100-\frac{100*29}{100}$

                             $=100-29$

                        $SP=Rs.71$

Next apply the second discount $34$% for the amount of $Rs.71$.

Selling Price(SP) of washing machines for second discount

$34$%.

                         $SP=71-\frac{71*34}{100}$    

                              $=71-\frac{2414}{100}$

                              $=71-24.14$  

                         $SP=Rs.46.86$      

Next apply the third discount $15$% for the amount of $Rs.46.86$.

Selling Price(SP) of washing machines for third discount $15$%.

                     $SP=46.86-\frac{46.86*15}{100}$

                           $=46.86-\frac{702.9}{100}$  

                           $=46.86-7.029$    

                      $SP=Rs.39.831$    

Now we can find the single equivalent discount. That is,

        ​$Total discount = \frac{(CP-SP)*100}{CP}$  

Here CP $=Rs.100$,SP $=Rs.39.831$.Now apply this value into the above equation.

    Total discount $=\frac{(100-39.831)*100}{100}$

                             $=\frac{60.169*100}{100}$

Cancel $100$ in the numerator and denominator. Then we get the total discount. That is,

    Total discount $=60.169$% or $60.17%$%